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DrillingDrilling fluids and hydraulics Intermediate 24 min read

Water-based muds and clay chemistry

Water-based mud (WBM) is a drilling mud whose continuous phase (the liquid that holds everything else) is water: fresh water, sea water or brine (salt water). Clay, mostly bentonite (a clay that swells in water), and drilled rock are spread through the water as tiny particles. Polymers, salts and alkali are dissolved in it, and a weighting material is held in suspension. The viscosity, the gel strength (how firmly the mud sets when it stands still) and the filtration (how much liquid the mud loses into the rock) of such a mud depend largely on the chemistry of clays. So does the stability of the walls of the well. The chemistry of clays is how clay minerals react with water and with the ions dissolved in it.

Why it matters

Most of the section is shales, claystones (both are clay-rich rocks) and clayey sandstones, and many problems come from the way they react to water. The walls swell and cave in, cuttings stick to the bit and the bottom hole assembly (the lowest part of the drill string), and the mud gets thicker. The engineer who understands how clay minerals are built, and what salt, calcium, alkali and polymers do to them, can choose the mud system for the rocks of the interval. The engineer orders the treatment from the results of the tests, and prepares the mud in advance for drilling out cement, anhydrite (a rock made of calcium sulfate) and salt.

Quick refresher

  • Clay minerals are layered silicates made of silicon–oxygen (tetrahedral) sheets and aluminium or magnesium (octahedral) sheets. Kaolinite has a 1:1 layer (one tetrahedral and one octahedral sheet). Illite and smectite have 2:1 layers (an octahedral sheet between two tetrahedral ones). Chlorite is 2:1 with an extra hydroxide sheet.
  • Replacing ions of the crystal lattice with ions of a lower charge gives the layers a permanent negative charge. Exchangeable cations (positive ions that can be swapped for others) balance it. The cation exchange capacity (how many of these cations the clay holds) is 80–150 meq/100 g for smectite, 10–40 for illite and chlorite, and 3–15 for kaolinite.
  • Sodium smectite swells without limit in fresh water and falls apart into plates about 1 nm thick. Calcium smectite swells only to a limit. Potassium pulls the layers together, and potassium inhibition (stopping the clay from swelling) is based on this.
  • Salt squeezes the electrical double layer (the cloud of ions around a clay plate): κ−1≈0.304/I\kappa^{-1} \approx 0.304/\sqrt{I} nm. The repulsion between particles gets weaker, and the clay flocculates (its particles clump together). Divalent cations act more strongly, and they also tie the plates together with bridges.
  • Flocculation raises YP, gel strength and filtration. Deflocculation, with thinners (chemicals that make the mud less thick) and a high pH, lowers them. Aggregation lowers PV and YP, but it spoils the mudcake (the layer of solids that the mud leaves on the wall of the hole).
  • Inhibition works by exchange of cations (K⁺, Ca²⁺), by lowering the activity of water (salts), by coating (polymers), by plugging micropores (silicates, glycols) and by building in amines. The mud is chosen for the rocks of the interval, the temperature, the productive formation and the environment.
Key relationships
I=12∑icizi2I = \tfrac12\sum_i c_i z_i^2

ionic strength, mol/L

κ−1≈0.304I nm\kappa^{-1} \approx \dfrac{0.304}{\sqrt{I}}\ \text{nm}

thickness of the electrical double layer, water at 25 °C

c=1000Yc = \dfrac{1000}{Y}

concentration of clay (kg/m³) for a given viscosity from its yield YY (m³/t)

m=ΔC Vw MreagMion⋅10−3m = \Delta C\,V_w\,\dfrac{M_{\text{reag}}}{M_{\text{ion}}}\cdot 10^{-3}

reagent (kg) to precipitate an ion: ΔC\Delta C in mg/L, VwV_w in m³ of water in the mud

Common pitfalls
  • Pouring bentonite straight into salt water: it will not swell. It is first hydrated in fresh water.
  • Treating cement with soda ash: it raises the pH even more. Against cement, use sodium bicarbonate or sodium acid pyrophosphate.
  • Treating with soda ash or bicarbonate “down to zero calcium”: an excess of carbonates thickens the mud itself.
  • Taking the high chlorides of a potassium mud as a sign of an inflow: potassium and chlorides are watched together.
  • Expecting complete protection of the clays from an inhibitive mud: inhibition is incomplete, and the time that the hole stays open matters too.

After this lesson you can

  • describe the structure of clay minerals (tetrahedral and octahedral sheets, 1:1 and 2:1 layers) and explain why smectite swells while illite and kaolinite hardly do
  • explain where the charge of clays comes from, how cations are exchanged and what the electrical double layer is, and calculate how dissolved salts change its thickness
  • tell aggregation, dispersion, flocculation and deflocculation apart, and predict their effect on the plastic viscosity (PV), the yield point (YP), the gel strength and the filtration
  • describe the roles of bentonite, polymers and chemicals, and calculate the treatment of a mud contaminated with calcium
  • compare inhibitive systems and choose a water-based mud for an interval from its rocks, its temperature and the requirements of the productive formation and of the environment

What a water-based mud is made of

A water-based mud is not just “water with clay”. It is a system of several groups of components, and each group has its own job (types of drilling mud).

Components of a water-based mud
Component
Water
Examples
fresh, sea; brines of NaCl, KCl, CaCl₂
What for
the continuous phase; the salts in it inhibit clays (stop them from swelling) and raise the density
Component
Active solids
Examples
bentonite; drilled clays
What for
viscosity, gel, a thin cake; these properties are unwanted when they come from drilled clay
Component
Inert solids
Examples
barite, calcium carbonate; sand and limestone from the cuttings
What for
density; cuttings are ballast (useless weight), which is removed
Component
Polymers
Examples
xanthan gum, starch, CMC, PAC, polyacrylamide
What for
viscosity, lower fluid loss (less liquid lost into the rock), coating of the cuttings
Component
Chemicals
Examples
caustic soda, lime, soda ash, thinners, inhibitors
What for
pH, binding contaminants, control of the clay, protection of the walls

CMC is carboxymethyl cellulose, and PAC is polyanionic cellulose. Suppliers use their own trade names; the table gives classes of substances.

Water-based muds are divided by what happens to the clay in them. Dispersed muds are clay muds with thinners (lignosulfonates and lignites: chemicals made from wood pulp and brown coal) and a high pH. The clay in them breaks into the finest particles. Such a mud tolerates a lot of solids and high temperatures. But it also disperses the drilled clay, so it quickly gets loaded with it. Non-dispersed muds are polymer or polymer–clay muds with little bentonite. The polymers do not let the cuttings fall apart, and they are removed at the surface whole. Inhibitive muds suppress the hydration of clays (their uptake of water) with potassium and calcium ions, with salts and with special additives. In Russian-language terminology, muds are often named by their composition: clay, polymer–clay, low-clay, clay-free biopolymer, lime, gypsum, potassium chloride and salt-saturated.

To see why the same additives sometimes thicken a mud and sometimes thin it, and why some clays turn into a slurry in water and others do not, we must look inside clay minerals.

How clay minerals are built

Clay minerals are layered aluminosilicates. Their crystals are built of atomic sheets of two kinds. In a tetrahedral sheet each silicon atom is surrounded by four oxygen atoms. The tetrahedra are joined by their corners into a flat net with six-sided cells, and six-sided hollows remain on the surface of the sheet. In an octahedral sheet, atoms of aluminium, magnesium or iron are surrounded by six oxygen atoms and hydroxyl ions. If the octahedra hold trivalent aluminium, two positions out of three are filled. If they hold divalent magnesium, all three are filled.

Sheets are joined into layers by shared oxygen atoms. A layer of one tetrahedral and one octahedral sheet is called 1:1. A layer with an octahedral sheet between two tetrahedral ones is called 2:1. A clay crystal is a stack of layers, like a pack of paper sheets. Between the layers there are exchangeable cations and water, or nothing. The distance at which the layer repeats is the basal spacing. It is measured by X-ray diffraction, and it identifies the mineral.

The layers of clay minerals and what lies between themKaolinitelayer 1:1Illitelayer 2:1Na-smectitelayer 2:1TOTOTO0.72 nmTOTTOTK+ — dark circles1.0 nmTOTTOTNa+ and H2O≤ 1.9 nmlayers joined byhydrogen bondsCEC 3–15does not swellK⁺ in sheet hollowslocks the layersCEC 10–40does not swellNa⁺, water between layersCEC 80–150swells: in fresh waterthe layers move apartT — silicon–oxygen (tetrahedral) sheet, O — aluminium(octahedral) sheet; nm — layer repeat distance; CEC — meq/100 g

Three stacks of layers. The letters T and O stand for tetrahedral and octahedral sheets. On the left is kaolinite: pairs of sheets T and O, with a dashed line of hydrogen bonds between the pairs, repeat distance 0.72 nanometres. In the middle is illite: triples of sheets T, O, T, with a row of dark circles between them, which are potassium ions, repeat distance 1.0 nanometre. On the right is sodium smectite: triples T, O, T separated by a wide gap with dark circles of sodium and light circles of water, repeat distance up to 1.9 nanometres. Under the stacks are the cation exchange capacity and the ability to swell.

SchematicThe three main types of clay minerals: kaolinite (a 1:1 layer, with the layers joined by hydrogen bonds), illite (a 2:1 layer, where the potassium between the layers pulls them together) and sodium smectite (a 2:1 layer, with sodium and water between the layers). The repeat distance of the layers is shown. For smectite it grows with the number of layers of water. A schematic, not to scale.
The main clay minerals of drilling practice
Mineral
Kaolinite
Structure
1:1
Between the layers
nothing: the layers are joined by hydrogen bonds
CEC, meq/100 g
3–15
Mineral
Illite (and micas)
Structure
2:1, the charge is mostly in the tetrahedra
Between the layers
potassium; the layers do not move apart
CEC, meq/100 g
10–40
Mineral
Smectite (montmorillonite)
Structure
2:1, the charge is mostly in the octahedra
Between the layers
exchangeable Na⁺ or Ca²⁺ and water; it swells
CEC, meq/100 g
80–150
Mineral
Chlorite
Structure
2:1 with a hydroxide sheet of magnesium and iron
Between the layers
the hydroxide sheet; the layers do not move apart
CEC, meq/100 g
10–40
Mineral
Attapulgite, sepiolite
Structure
chain-like; the particles are needles
Between the layers
channels with water along the needles
CEC, meq/100 g
about 5–30

CEC is the cation exchange capacity (see the next section). The ranges are approximate: minerals with the same name differ noticeably.

What sets smectite apart is its huge surface. When it is fully separated into layers, it exposes about 750 m² per gram: both sides of each layer about 1 nm thick. Kaolinite has about 10–20 m²/g, and illite about 100 m²/g. So a few tens of kilograms of bentonite per cubic metre of water give the mud its viscosity, its gel and a thin, dense cake.

The chain-like clays stand apart: attapulgite (palygorskite) and sepiolite. Their particles are needles, not plates. They give viscosity by catching on each other mechanically. So they work in salt water, where bentonite is helpless, and sepiolite also resists high temperatures. But they build a poor cake, because needles do not lie tightly. The clay rocks of the section often hold mixed-layer minerals: illite–smectite, in which swelling layers alternate with non-swelling ones. With depth and rising temperature, roughly in the interval of 60–120 °C, smectite slowly turns into illite and gives up the water between its layers (Abnormal formation pressures: origin, prediction and recognition). So young, shallow clays are usually the most “active”, and deep claystones are denser and more brittle.

The charge of clays, exchangeable cations and the electrical double layer

If every position of the lattice were occupied by the “proper” ions, Si⁴⁺ in the tetrahedra and Al³⁺ in the octahedra, the layers would be electrically neutral. But when a mineral forms, some ions are replaced by ions of similar size and lower charge: Al³⁺ in place of Si⁴⁺ in the tetrahedra, Mg²⁺ or Fe²⁺ in place of Al³⁺ in the octahedra. This isomorphous substitution leaves a permanent negative charge on the layer. It is balanced by cations that sit on the surface and between the layers. In water they can go into the solution and be replaced by others. These are the exchangeable cations, and their amount is the cation exchange capacity (CEC), in milliequivalents (meq, a unit that counts electric charge) per 100 g of dry clay. It is measured, among other ways, by the methylene blue test (tests of the mud).

Where the charge sits decides how the mineral behaves. In illite the substitutions are mostly in the tetrahedra. The charge is large and close to the surface, and the potassium between the layers is held so firmly that it hardly exchanges at all. In montmorillonite, the main smectite of bentonites, the charge is smaller and hidden in the middle of the layer, in the octahedra. The cations between the layers are held weakly, exchange easily and surround themselves with water.

The second source of charge is the edges of the plates, where the lattice is broken off. Groups there behave like weak acids or bases, and their charge depends on the pH. In acid and near-neutral water the edges are positively charged, and in alkaline water they are negatively charged. This is why muds are kept alkaline. With positive edges, the plates attract each other: an edge sticks to the negative face of a neighbour. Cations are held more firmly the larger their charge and the weaker their hydration (the water shell around them). Divalent (doubly charged) Ca²⁺ and Mg²⁺ push out monovalent (singly charged) Na⁺, and potassium holds more firmly than sodium. But the exchange is reversible and depends on concentration: in a strong solution of potassium chloride, potassium pushes out calcium too.

In water, a cloud of cations, the counter-ions, gathers around a negatively charged plate. The electric attraction pulls them to the surface, and the thermal motion drags them back into the solution. Together with the charge of the surface, this cloud is called the electrical double layer. When two plates come closer and their clouds overlap, there are more ions in the gap than in the water around. Water tends to enter the gap, and the plates repel each other. The thickness of the cloud is described by the Debye length κ−1\kappa^{-1}: at this distance from the surface, its potential has fallen by a factor of about ee (2.718).

Thickness of the electrical double layer (Debye length)
κ−1=εr ε0 kB T2 NA e2 I≈0.304I nm,I=12∑icizi2\kappa^{-1} = \sqrt{\frac{\varepsilon_r\,\varepsilon_0\,k_B\,T}{2\,N_A\,e^2\,I}} \approx \frac{0.304}{\sqrt{I}}\ \text{nm}, \qquad I = \frac12\sum_i c_i z_i^2
where:
  • κ−1\kappa^{-1}Debye length: in metres in the first form, in nanometres in the second, m; nm
  • εr\varepsilon_rrelative permittivity of water, about 78 at 25 °C, —
  • ε0\varepsilon_0vacuum permittivity, 8.854⋅10−128.854\cdot10^{-12}, F/m
  • kBk_BBoltzmann constant, 1.381⋅10−231.381\cdot10^{-23}, J/K
  • TTabsolute temperature, K
  • NAN_AAvogadro number, 6.022⋅10236.022\cdot10^{23}, mol⁻¹
  • eeelementary charge, 1.602⋅10−191.602\cdot10^{-19}, C
  • IIionic strength of the solution: in mol/m³ in the first form, in mol/L in the second, mol/m³; mol/L
  • ci, zic_i,\ z_imolar concentration and charge number of each ion, mol/L; —

Units: the first form is SI; the second has II in mol/L, κ−1\kappa^{-1} in nm, water at 25 °C

Holds when
  • The Gouy–Chapman theory for a flat surface in a dilute solution: the ions are point charges, and the water is a continuous medium.
  • At an ionic strength above about 0.1 mol/L the formula gives only the order of magnitude. A real layer is never thinner than a hydrated ion, so for brines the formula understates the thickness.
  • The constant 0.304 is for water at 25 °C. At 100 °C the layer is thinner by only about 6%, because the permittivity of water falls as the temperature rises.

The thickness of the layer is inversely proportional to the square root of the ionic strength, and the ionic strength grows as the square of the ion charge. At the same molar concentration, calcium chloride (I = 3c) squeezes the layer more than sodium chloride (I = c) does, and calcium sulfate (I = 4c) squeezes it even more. While the layer is thick compared with the particles, the particles repel each other. When it is squeezed, the van der Waals attraction brings them together (see the advanced section).

Thickness of the electrical double layer against the ionic strength of the water0.0010.010.110.20.512510Ionic strength of the water I, mol/LDebye length κ−1, nmfresh: 3.3 nm+ anhydrite: 1.4 nmthickness of a smectite layerKCl 5%: 0.37 nm

A graph with logarithmic axes: along the horizontal axis the ionic strength from 0.001 to 1 mole per litre, along the vertical axis the Debye length from 0.2 to 12 nanometres. A straight line falls from almost 10 nanometres at 0.001 mole per litre to 0.3 nanometre at 1 mole per litre. Points are marked: fresh water 3.3 nanometres, after anhydrite 1.4 nanometres, potassium chloride brine 5 per cent 0.37 nanometre. A horizontal dashed line at about 1 nanometre is the thickness of a smectite layer.

CalculatedThe Debye length against the ionic strength of the water (25 °C), and the three waters of the example below: fresh mixing water, the same water after anhydrite has dissolved in it, and a 5% KCl brine. The dashed line is the thickness of one smectite layer. Both axes are logarithmic.
Worked exampleThickness of the double layer in different waters
Given (assumed data)
Fresh mixing water (the water used to make the mud)
about 0.5 g/L of salts, counted as NaCl
The same water after anhydrite is drilled out
an extra 400 mg/L of Ca²⁺ from dissolved CaSO4\mathrm{CaSO_4}
Potassium chloride brine
5% by mass, 51.5 g/L of KCl
Thickness of a smectite layer
about 1 nm (0.96 nm)
Solution
  1. Molar concentrations: NaCl 0.5/58.44=0.008560.5/58.44 = 0.00856 mol/L; Ca²⁺ 0.400/40.08=0.009980.400/40.08 = 0.00998 mol/L and the same amount of sulfate ions; KCl 51.5/74.55=0.69151.5/74.55 = 0.691 mol/L.
  2. Ionic strength of the fresh water: I=12(0.00856⋅1+0.00856⋅1)=0.00856I = \tfrac12(0.00856\cdot 1 + 0.00856\cdot 1) = 0.00856 mol/L. Anhydrite adds 12(4+4)⋅0.00998=0.0399\tfrac12(4 + 4)\cdot 0.00998 = 0.0399, so the total is 0.0485 mol/L. KCl brine: 0.691 mol/L.
  3. Debye length: 0.304/0.00856=3.290.304/\sqrt{0.00856} = 3.29 nm; 0.304/0.0485=1.380.304/\sqrt{0.0485} = 1.38 nm; 0.304/0.691=0.3660.304/\sqrt{0.691} = 0.366 nm.
  4. Comparison with a smectite layer: in fresh water the double layer is 3.4 times thicker than the layer. After anhydrite it is 1.4 times thicker. In the KCl brine it is 2.6 times thinner than the layer.
Answer: The Debye length is 3.29 nm in fresh water, 1.38 nm after anhydrite has dissolved and 0.366 nm in a 5% KCl brine, which is 9 times less than in fresh water.

What it means. In fresh water each plate is surrounded by a cloud of ions several times thicker than the plate itself. The plates repel each other from a distance. When they move apart, they form a viscous structure, and this is how bentonite works. Calcium from anhydrite squeezes this layer by more than half. More important, divalent ions stand between the plates as bridges and push out the sodium. The clay flocculates, and then the plates gather face to face into stacks. In the KCl brine the double layer is thinner than the plate. The repulsion no longer stops the particles from coming together and sticking. Bentonite hardly swells in such water, so it is first hydrated in fresh water. For the brine the formula gives only an order of magnitude and understates the thickness of the layer, but it shows the direction of the change correctly. The data in this example are assumed for illustration.

Hydration and swelling: why some clays turn into a slurry and others do not

Water enters between the layers of smectite in two stages. The first is crystalline (surface) swelling. Water molecules hydrate the exchangeable cations and the surface of the layers, and they settle between the clay layers as films one, two, or three to four molecules thick. The repeat distance grows from about 1.0 to 1.9 nm. The energy of this stage is huge: to squeeze the last layers of water out of a clay, we need pressures of hundreds of megapascals. But the volume grows only to a limit. Then, if the cations between the layers are sodium and the water is fresh, osmotic swelling begins. The double layers of neighbouring surfaces repel each other, water is drawn into the gaps, and the layers move apart by tens of nanometres. In the end the crystal falls apart into separate plates about 1 nm thick and a few tenths of a micrometre across. This is how bentonite turns into a suspension.

The exchangeable cation decides whether the second stage happens:

  • Sodium is monovalent and strongly hydrated, and it holds the layers weakly. In fresh water, sodium smectite swells without limit.
  • Calcium and magnesium are divalent. One ion binds two neighbouring layers like a staple, and the swelling stops at the crystalline stage (repeat distance about 1.9 nm). Calcium smectite falls apart into stacks, not into separate plates.
  • Potassium is weakly hydrated, and its size fits exactly into the six-sided hollows of the silicon–oxygen sheets. It “locks” the layers, as in illite, and smectite swells little. The ammonium ion acts in the same way.

In the well, the hydration of clay rocks leads to trouble. The rock takes up water, swells and loses strength. The walls cave in and fall, and caverns form. The soft cuttings of young clays stick to the bit and the bottom hole assembly and clog them (this is called bit balling). In the mud they fall apart into fines that can no longer be removed on the shale shakers (the vibrating screens). The mud gets thicker, and the plastic viscosity grows. Dense fractured claystones swell little, but the filtrate (the liquid that leaves the mud) enters them along microfractures and bedding planes and splits the rock. There is also a purely hydraulic mechanism. There is almost no filter cake on a clay, so the pressure of the mud is slowly passed on to the pores of the rock at the wall, and the wall loses its support. So the instability of clays grows with time, as long as the hole stays open.

To choose a mud for a particular clay, the clay is studied on cuttings and core. The mineral composition is found by X-ray diffraction analysis, and the cation exchange capacity by the methylene blue test. The reaction to the mud is found by a swelling test (an instrument records the linear expansion of a pressed sample in the mud) and a dispersion test (cuttings are rolled in hot mud, and we weigh how much of them stays on a sieve). By comparing candidate muds on the same clay, we choose the composition and the concentration of inhibitors.

Aggregation, dispersion, flocculation and deflocculation

The clay particles in a mud can be arranged in different ways, and the properties of the mud depend on this. There are two independent pairs of states:

  • Aggregation and dispersion tell how many plates there are in one particle. In aggregation the plates are gathered face to face into stacks. In dispersion the stacks have fallen apart into separate plates.
  • Flocculation and deflocculation tell whether the particles attract each other. In flocculation they stick edge to face and edge to edge into a loose framework (a “house of cards”). In deflocculation they repel each other and move independently.

Stacks can be flocculated or deflocculated, and so can separate plates. So the words “dispersed mud” say nothing yet about its YP.

Aggregation, dispersion, flocculation and deflocculationDry bentonitestacks of platesfresh waterhydration anddispersionDispersedPV ↑: many particlesthin, dense cakesalt, Ca²⁺, Mg²⁺,low pH, heatingCa²⁺ or K⁺instead of Na⁺FlocculationYP, gel strength, filtration ↑“house of cards”reverse: thinners, high pHAggregationPV, YP ↓; filtration ↑face-to-face stacks

Four frames. At the top left is dry bentonite: two stacks of plates. An arrow to the right, labelled fresh water, hydration and dispersion, leads to a frame with separate plates. From it an arrow down to the left, labelled salt, calcium, magnesium, low pH, heating, leads to flocculation: plates joined edge to face and edge to edge, like a house of cards. A straight arrow down, labelled calcium or potassium instead of sodium, leads to aggregation: plates gathered face to face into stacks. Under the frames it is shown how the plastic viscosity, the yield point, the gel strength and the filtration change.

SchematicHow the state of the bentonite particles changes. In fresh water the stacks hydrate and fall apart into plates. Salt, calcium, magnesium, a low pH and heating cause flocculation, and thinners and a high pH bring the particles back to the deflocculated state. Exchange of sodium for calcium or potassium gathers the plates into stacks (aggregation). A schematic.
How the state of the clay changes the properties of the mud
State
Aggregation
PV
falls: there are fewer particles
YP and gel strength
fall
Filtration and cake
rises: the cake is looser
State
Dispersion
PV
rises: there are more particles
YP and gel strength
depend on flocculation
Filtration and cake
falls: the cake is thinner and denser
State
Flocculation
PV
hardly changes
YP and gel strength
rise, the gel is progressive
Filtration and cake
rises: the framework lets water through
State
Deflocculation
PV
hardly changes
YP and gel strength
fall
Filtration and cake
falls: the plates lie tightly

The directions are qualitative: in a mud the processes go on at the same time, and a shift in one property may hide another.

Flocculation is caused by anything that weakens the repulsion or creates links between the particles:

  • Salt squeezes the double layers. Bentonite hardly swells in water with a salinity of about one per cent or more, and bentonite that has already swelled flocculates.
  • Divalent cations (Ca²⁺ from cement, gypsum and anhydrite, Mg²⁺ from sea water and magnesium salts) squeeze the layer more strongly and tie the plates together with bridges.
  • A low pH makes the edges of the plates positive, and they stick to the negative faces.
  • High temperature makes the particles collide more often and makes the hydration shells thinner. Clay muds thicken when heated (see the advanced section).
  • Polymers with very long molecules (high-molecular-weight polymers) in a small concentration catch several particles with one molecule and pull them into flocs (loose clumps). This is used to settle out cuttings when drilling with water and no clay.

Thinners (deflocculants) are lignosulfonates, lignites, tannins, polyphosphates and low-molecular-weight polyacrylates: large anions (negatively charged particles). They sit on the positive edges of the plates, neutralise them and add a negative charge. The edges stop sticking to the faces, and the YP and the gel strength fall. Lignite and some other thinners are weak acids that really dissolve and work only in an alkaline medium. So they are added together with caustic soda. In Russian-language practice, lignite was long prepared together with alkali, as the “coal–alkali reagent” (in Russian, UShchR). Polyphosphates, when heated above about 65 °C, turn into inactive orthophosphates, and they are good only for shallow intervals.

Both pairs of states are easy to see if lime or gypsum is added to a fresh bentonite mud. The ionic strength rises, the double layers are squeezed, and first of all the clay flocculates. The viscosity and the gels jump. But calcium gradually takes the exchange positions, and the sodium clay becomes calcium clay and gathers into stacks. There are fewer particles, and the viscosity falls, often below the starting value. This transition is made on purpose when a lime mud or a gypsum mud is prepared. It is usually done with a thinner and caustic soda, so that the peak of thickening passes without trouble. The clay of such a mud is already “saturated” with calcium, so the calcium from cement or anhydrite hardly harms it. And stacks instead of separate plates let the mud carry more cuttings without thickening.

Bentonite and polymers

Bentonite is a clay that is 70–90% montmorillonite. It formed from volcanic ash. Natural sodium bentonites are rare, and most deposits are calcium bentonites. Calcium bentonite is activated with soda ash: the carbonate precipitates the calcium (takes it out of the water as a solid), and the clay turns into the sodium form. In Russian-language practice such a product is called modified clay powder. The quality of the clay powder is judged by its yield: the volume of mud of a given viscosity that we get from one tonne of clay. In English-language standards this is a suspension with an apparent viscosity of 15 mPa·s (θ600=30\theta_{600} = 30), and Russian-language standards have their own criteria.

How much clay is needed for a given viscosity
c=1000Y,ϕ=c1000 ρcl,ρ=ρw+ϕ (ρcl−ρw)c = \frac{1000}{Y}, \qquad \phi = \frac{c}{1000\,\rho_{\text{cl}}}, \qquad \rho = \rho_w + \phi\,(\rho_{\text{cl}} - \rho_w)
where:
  • ccconcentration of clay per 1 m³ of suspension, kg/m³
  • YYyield of the clay: the volume of suspension of the given viscosity from 1 t of clay, m³/t
  • ϕ\phivolume fraction of clay in the suspension, fraction
  • ρcl\rho_{\text{cl}}density of the clay particles, about 2.6, g/cm³
  • ρw, ρ\rho_w,\ \rhodensity of water (1.0) and of the suspension, g/cm³

Units: cc in kg/m³, YY in m³/t, densities in g/cm³

Holds when
  • The yield was determined for the same viscosity and the same water as needed in the mud. In salt or hard water the yield of bentonite falls sharply.
  • The volumes of clay and water add up.

A tonne of clay gives YY cubic metres of suspension, so each cubic metre takes 1000/Y1000/Y kg. The higher the yield, the fewer solids we need for the same viscosity. Then the mud is lighter, the cake is thinner and the plastic viscosity is lower.

In other unit systems (1)
Oilfield units
c [lb/bbl]=2000Y [bbl/ton]c\,[\text{lb/bbl}] = \frac{2000}{Y\,[\text{bbl/ton}]}

the yield is in barrels of suspension per short ton (2000 lb), and the concentration is in pounds per barrel.

1 m³/t ≈ 5.71 bbl per short ton; 1 lb/bbl = 2.853 kg/m³.

Worked exampleBentonite or local clay: how many solids for the same viscosity
Given (assumed data)
Required viscosity of the suspension
apparent 15 mPa·s (θ600=30\theta_{600} = 30)
Yield of bentonite
20 m³/t
Yield of local clay
3 m³/t
Density of the clay particles
2.6 g/cm³
Solution
  1. Concentration: bentonite 1000/20=50.01000/20 = 50.0 kg/m³, local clay 1000/3=333.31000/3 = 333.3 kg/m³, which is 6.7 times more.
  2. Volume fraction of solids: 50.0/2600=0.0192350.0/2600 = 0.01923 (1.92%) and 333.3/2600=0.1282333.3/2600 = 0.1282 (12.8%).
  3. Density of the suspension: 1+0.01923⋅1.6=1.0311 + 0.01923\cdot 1.6 = 1.031 g/cm³ and 1+0.1282⋅1.6=1.2051 + 0.1282\cdot 1.6 = 1.205 g/cm³.
Answer: For the same viscosity we need 333.3 kg/m³ of local clay against 50.0 kg/m³ of bentonite. The suspension made from local clay contains 12.8% of solids and weighs 1.205 g/cm³, against 1.92% and 1.031 g/cm³ for bentonite.

What it means. Bentonite gives the viscosity with a few very fine and active particles. Local clay gives it with a mass of solids. A mud made from it carries 12.8% of clay by volume from the very start. This is several times more than is usually allowed for low-gravity solids. The plastic viscosity is higher, the cake is thicker, the rate of penetration is lower, and there is almost no room for barite if the mud has to be weighted up. So the yield is the main quality measure of clay powder, and it is checked on every batch. The data in this example are assumed for illustration.

Polymers are long molecules that unfold in water and make it harder for the water to flow. In water-based muds they do four jobs. They thicken the mud, especially at low shear rates, and so hold the cuttings. They lower the filtration: they plug the pores of the cake and raise the viscosity of the filtrate. They coat the cuttings and the walls. And in another form they thin the clay or flocculate it. Their main advantage is that they give the needed properties with few solids: drilling with a low-clay polymer mud is faster than with a clay mud.

The main polymers of water-based muds
Polymer
Xanthan gum (biopolymer)
Role
viscosity at low shear rates and holding the cuttings; thins strongly under shear
Limitations
breaks down at high temperature (about 120–130 °C); bacteria destroy it, so a bactericide is needed
Polymer
Starch (modified)
Role
fluid-loss reducer, also in salt water
Limitations
about 120 °C, higher for modified grades; bacteria
Polymer
Carboxymethyl cellulose (CMC)
Role
fluid-loss reducer; high-viscosity grades thicken
Limitations
works worse in salt water and at a high calcium content
Polymer
Polyanionic cellulose (PAC)
Role
fluid-loss reducer and thickener in fresh and salt water
Limitations
cost; about 150 °C
Polymer
Partially hydrolysed polyacrylamide (PHPA)
Role
coats the cuttings and the walls; in small doses a flocculant for cuttings
Limitations
sensitive to calcium; hydrolyses at high temperature
Polymer
Polyacrylates
Role
ones with short molecules are thinners, ones with long molecules are fluid-loss reducers
Limitations
sensitive to calcium
Polymer
Synthetic copolymers (for example, with sulfonate groups)
Role
filtration and rheology at high temperature and salinity
Limitations
more expensive than natural ones

The temperature limits are approximate: they depend on the modification of the polymer, the salinity, the pH, oxygen and the time of exposure. For a given interval they are checked by heating a sample in the laboratory.

Chemical treatment: pH, thinners and contaminants

The pH of water-based muds is kept with caustic soda, NaOH (in potassium muds with caustic potash, KOH, so as not to bring in sodium), or with lime. A high pH makes the edges of clays negative, helps thinners and lignites to work, slows corrosion and keeps hydrogen sulfide in the mud as ions. A pH that is too high speeds up the hydrolysis and breakdown of some polymers and raises the use of chemicals. So the pH is kept within the limits set by the programme.

Many problems with the mud are contaminants: substances from the section or from cement that change the chemistry of the water. For most of them there is a chemical remedy, a reagent that turns the harmful ion into an insoluble precipitate. Contaminants are recognised from the analyses of the filtrate (tests of the mud).

Contaminants of a water-based mud and their treatment
Contaminant
Calcium without a rise in pH
Source
gypsum, anhydrite, hard water
How it shows in the analyses
calcium rises, pH does not
Treatment
soda ash Na2CO3\mathrm{Na_2CO_3}
Contaminant
Calcium with a rise in pH
Source
cement
How it shows in the analyses
calcium, pH and PmP_m rise
Treatment
sodium bicarbonate or sodium acid pyrophosphate; a thinner
Contaminant
Magnesium
Source
sea water, magnesium salts
How it shows in the analyses
the total hardness is noticeably higher than the calcium hardness
Treatment
caustic soda: Mg(OH)2\mathrm{Mg(OH)_2} precipitates at a pH above about 10
Contaminant
Carbonates and bicarbonates
Source
carbon dioxide from the formation, too much soda ash, breakdown of lignite when heated
How it shows in the analyses
MfM_f is much greater than PfP_f; gels after heating
Treatment
lime, and gypsum if needed: the carbonate precipitates as CaCO3\mathrm{CaCO_3}
Contaminant
Salt
Source
salt beds, salty formation water
How it shows in the analyses
chlorides rise
Treatment
a thinner and dilution; for a thick salt bed, a change to a salt mud
Contaminant
Hydrogen sulfide
Source
the formation
How it shows in the analyses
sulfides in the filtrate, a fall in pH
Treatment
a high pH and scavengers (chemicals that bind the gas): zinc compounds (the precipitate is ZnS)
Contaminant
Oxygen
Source
air trapped in the tanks
How it shows in the analyses
corrosion of pipes
Treatment
a scavenger, sodium sulfite; less aeration

The treatment is chosen on a pilot sample and added in portions, with the results checked by analyses.

Why soda ash against gypsum, and bicarbonate against cement? Both reagents precipitate calcium as calcium carbonate, but they act differently on the pH.

Reactions that precipitate calcium
Ca2++CO32−→CaCO3↓Ca(OH)2+Na2CO3→CaCO3↓+2 NaOHCa(OH)2+NaHCO3→CaCO3↓+NaOH+H2O\begin{aligned} &\mathrm{Ca^{2+} + CO_3^{2-} \rightarrow CaCO_3\downarrow} \\ &\mathrm{Ca(OH)_2 + Na_2CO_3 \rightarrow CaCO_3\downarrow + 2\,NaOH} \\ &\mathrm{Ca(OH)_2 + NaHCO_3 \rightarrow CaCO_3\downarrow + NaOH + H_2O} \end{aligned}
where:
  • Na2CO3\mathrm{Na_2CO_3}soda ash, 105.99 g/mol
  • NaHCO3\mathrm{NaHCO_3}sodium bicarbonate (baking soda), 84.01 g/mol
  • Ca(OH)2\mathrm{Ca(OH)_2}lime: added, or released from cement, 74.09 g/mol
  • CaCO3\mathrm{CaCO_3}calcium carbonate: a precipitate that is almost insoluble in an alkaline medium, —

Units: mole ratios: one mole of reagent per mole of calcium

Holds when
  • The reactions go to completion, and the precipitate does not dissolve.
  • There are no other consumers of the reagent in the mud: magnesium, or an excess of lime beyond the calculation.

Soda ash turns all the alkali of the lime into soluble caustic soda. The pH, which is already high after cement, rises even more. Bicarbonate neutralises half of the hydroxide ions of the lime: of two, one is left in the mud. So soda ash is good against gypsum and anhydrite, where the pH does not rise, and against cement we need bicarbonate. Sodium acid pyrophosphate lowers the pH even more. It also binds calcium, but when heated it loses its activity, like other polyphosphates.

Mass of reagent to precipitate an ion
m=ΔC⋅Vw⋅MreagMion⋅10−3m = \Delta C\cdot V_w\cdot\frac{M_{\text{reag}}}{M_{\text{ion}}}\cdot 10^{-3}
where:
  • mmmass of the reagent, kg
  • ΔC\Delta Cby how much to lower the concentration of the ion in the filtrate, mg/L (= g/m³)
  • VwV_wvolume of water in the mud: the share of water from the retort times the volume of mud, m³
  • Mreag, MionM_{\text{reag}},\ M_{\text{ion}}molar masses of the reagent and of the ion to be removed, g/mol

Units: mm in kg, ΔC\Delta C in mg/L, VwV_w in m³

Holds when
  • The reaction goes mole for mole, as for calcium with soda ash or bicarbonate.
  • The ion is spread through all the water of the mud, and the reagent is used only on it.
  • The undissolved reserve of the contaminant (the lime of cement, lumps of anhydrite) is counted separately: it goes on dissolving.

This is the stoichiometric minimum (the least amount that the reaction needs) for removing a dissolved ion. An excess of soda ash or bicarbonate leaves carbonates in the mud, and they thicken the mud themselves, especially when heated. So the treatment is split into portions.

Worked exampleTreatment after anhydrite and after cement
Given (assumed data)
Mud in circulation
160 m³, share of water from the retort 0.88
After anhydrite
calcium 520 mg/L; target 120 mg/L
After cement
calcium 360 mg/L, target 100 mg/L; excess lime 2.81 kg/m³
Molar masses, g/mol
Ca 40.08; Na₂CO₃ 105.99; NaHCO₃ 84.01; Ca(OH)₂ 74.09
Solution
  1. Water in the mud: Vw=0.88⋅160=140.8V_w = 0.88\cdot 160 = 140.8 m³.
  2. Anhydrite: we remove 520−120=400520 - 120 = 400 mg/L of calcium, that is 400⋅140.8=56,320400\cdot 140.8 = 56{,}320 g, or 56.32 kg. By mass we need 105.99/40.08=2.644105.99/40.08 = 2.644 times more soda ash: 56.32⋅2.644=14956.32\cdot 2.644 = 149 kg.
  3. Cement, dissolved calcium: (360−100)⋅140.8=36,608(360 - 100)\cdot 140.8 = 36{,}608 g, or 36.61 kg. Bicarbonate: 36.61⋅84.01/40.08=36.61⋅2.096=7736.61\cdot 84.01/40.08 = 36.61\cdot 2.096 = 77 kg.
  4. Cement, undissolved lime: 2.81⋅160=449.62.81\cdot 160 = 449.6 kg. Bicarbonate: 449.6⋅84.01/74.09=449.6⋅1.134=510449.6\cdot 84.01/74.09 = 449.6\cdot 1.134 = 510 kg.
  5. All the sodium bicarbonate for the case of cement: 77+510=58777 + 510 = 587 kg.
Answer: After anhydrite we need about 149 kg of soda ash. After cement we need up to 587 kg of sodium bicarbonate, of which about 510 kg goes to the undissolved lime.

What it means. Most of the bicarbonate is needed not for the calcium that is already in the filtrate, but for the lime that has not dissolved yet. So the cement “comes back” after the first treatment, and the mud is often treated in advance, before the cement in the shoe track (the cement left in the lowest joints of the casing) is drilled out. The calculation gives a stoichiometric upper limit: the lime dissolves gradually, part of the drilled-out cement leaves with the cuttings, and an excess of bicarbonate would leave carbonates in the mud. So the reagent is added in portions, checked on a pilot sample and by PfP_f, MfM_f and calcium. The data in this example are assumed for illustration.

Inhibitive muds

Shale inhibition is the suppression of the hydration, swelling and dispersion of clays by the mud. There are several mechanisms, and modern systems usually combine two or three of them:

  • Exchange of cations. Potassium (less often ammonium) or calcium replaces sodium in the positions between the layers and does not let the layers move apart.
  • Lower activity of water. Water leaves a concentrated brine for the clay only reluctantly. At a high enough salinity it can even be drawn out of the clay (see the advanced section).
  • Encapsulation (coating). Long anionic polymers, first of all partially hydrolysed polyacrylamide, are adsorbed (held on the surface) on the cuttings and the wall. They slow the entry of water and the breaking up of particles.
  • Plugging of micropores and fractures. Silicates, glycols above their cloud point (the temperature at which they separate out of the water as droplets), bitumen and asphalt additives and fine particles block the paths along which filtrate and pressure enter the clay.
  • Building in organic cations. Amines sit between the layers of the clay and push out the water.
Inhibitive water-based muds
System
Lime and gypsum muds
Base
lime or gypsum; lignosulfonate or lignite; caustic soda
How it inhibits
they turn the clay into the calcium form; they tolerate solids and calcium
Limitations
the inhibition is moderate; lime muds with a large excess of lime thicken when heated above about 120 °C
System
Salt-saturated muds
Base
saturated NaCl brine; starch or PAC; attapulgite or pre-hydrated bentonite
How it inhibits
they do not dissolve salt, and they lower the activity of water
Limitations
bentonite does not swell; corrosion; potassium–magnesium salts dissolve even in a saturated NaCl brine
System
Potassium chloride polymer muds
Base
KCl (usually 3–10% by mass), partially hydrolysed polyacrylamide, PAC, starch, xanthan
How it inhibits
potassium pulls the clay layers together; the polymer coats the cuttings
Limitations
potassium is used up in exchange; chlorides make waste disposal harder
System
Glycol muds
Base
a potassium chloride polymer mud with a few per cent of glycol
How it inhibits
glycol is adsorbed on the clay; above the cloud point it separates as droplets and plugs the pores
Limitations
the mechanism is not fully understood; the cloud point depends on the salinity and the temperature
System
Silicate muds
Base
sodium or potassium silicate; pH above 11
How it inhibits
the silicate forms a gel and precipitates with calcium and magnesium in pores and fractures
Limitations
high pH; not compatible with all chemicals; the rheology is hard to hold
System
Amine muds
Base
polyamines, a coating polymer, plugging additives
How it inhibits
amine cations build in between the layers
Limitations
more expensive; the composition is chosen for the clay
System
Mixed metal hydroxide muds
Base
positively charged particles of aluminium and magnesium hydroxides with bentonite
How it inhibits
a very strong but easily broken gel; good hole cleaning at a low flow rate
Limitations
not compatible with anionic chemicals: most thinners and polymers
System
Formate muds
Base
brines of sodium, potassium and caesium formates
How it inhibits
high density without solids, low activity of water
Limitations
expensive, especially caesium; used first of all for drilling into productive formations

Suppliers name the systems differently; the table gives general classes. Russian-language practice also knows aluminium–potassium and humate–potassium muds. Even the best water-based systems inhibit clays less than oil-based muds do (Oil-based muds).

Worked examplePotassium chloride mud: composition and topping up the potassium
Given (assumed data)
Water phase
5% KCl brine by mass, density 1.030 g/cm³
Molar masses, g/mol
K 39.10; Cl 35.45; KCl 74.55
After a day of drilling through active clays
potassium in the filtrate 21,000 mg/L, chlorides the same as before
Water in the mud
140 m³
Solution
  1. KCl in 1 m³ of brine: 0.05⋅1030=51.50.05\cdot 1030 = 51.5 kg, that is 51.5 g/L.
  2. Ions: potassium 51.5⋅39.10/74.55=27.051.5\cdot 39.10/74.55 = 27.0 g/L, chloride 51.5⋅35.45/74.55=24.551.5\cdot 35.45/74.55 = 24.5 g/L. Titration with silver nitrate will show about 24,500 mg/L of chlorides.
  3. Potassium fell to 21,000 mg/L at the same chlorides: the clay took potassium in exchange for sodium and calcium. To get back to the original 27,000 mg/L we lack 27,000−21,000=600027{,}000 - 21{,}000 = 6000 mg/L. For 140 m³ of water this is 6000⋅140/1000=8406000\cdot 140/1000 = 840 kg of potassium.
  4. Potassium chloride to make this up: 840⋅74.55/39.10=1602840\cdot 74.55/39.10 = 1602 kg.
Answer: A 5% brine holds 51.5 kg/m³ of KCl: 27.0 g/L of potassium and 24.5 g/L of chloride. To bring the potassium back to the original level we need about 1602 kg of KCl.

What it means. In a potassium mud the chlorides are high by themselves, so they alone cannot tell us about an inflow of salt water. We watch the potassium and the chlorides together. If the chlorides rise and the potassium does not, sodium chloride is getting into the mud: salt or formation water. If the potassium falls at the same chlorides, the clays are taking it, and it is topped up. The use of potassium in exchange is the price of inhibition: the more active clay in the section, the more potassium is lost. The data in this example are assumed for illustration.

How a mud is chosen for the section

A mud is chosen for each interval. We compare the rocks, the pressures and the temperatures with the limits: protection of the productive formation, the requirements of logging, the environment, logistics and cost (types of mud). For a water-based mud the reasoning usually goes like this.

  1. 1
    The section and the experience of neighbouring wells

    Which rocks will be drilled: active clays, claystones, salt, anhydrite, lost-circulation zones. Which problems the neighbours had, and with which muds.

  2. 2
    Mineralogy and reaction of the clays

    The cation exchange capacity and the composition of the clays from cuttings and core, and swelling and dispersion tests: whether inhibition is needed, and how strong.

  3. 3
    The density window and the temperature

    The density comes from the pore pressure, the stability of the walls and the lost-circulation pressure. The bottomhole temperature decides which polymers and thinners will survive.

  4. 4
    The productive formation

    The mud for drilling into it: a minimum of clay, particles chosen to match the size of the pores, and a filtrate that is compatible with the formation (Formation damage and damage skin).

  5. 5
    Environment, logistics, cost

    Whether the cuttings can be discharged or must be hauled away, what water is on site, what the chemicals cost, and what the possible problems would cost.

Rocks of the section and the answer of a water-based mud
Rocks and conditions
Loose sands, gravels and clays of the upper intervals
What happens
caving, washouts, lost circulation
The answer of the mud
a high-viscosity bentonite mud, often with lime; on the shelf, drilling with sea water and portions of viscous mud
Rocks and conditions
Young active clays rich in smectite
What happens
swelling, balling on the bit, thickening of the mud
The answer of the mud
a potassium chloride polymer, glycol or amine mud; a high flow rate; control by the methylene blue test
Rocks and conditions
Dense fractured claystones
What happens
collapse, entry of filtrate along fractures
The answer of the mud
a density chosen for the stability of the walls, low HPHT fluid loss, plugging additives; less time in the open hole
Rocks and conditions
Rock salt
What happens
dissolving and caverns; creep
The answer of the mud
a salt-saturated mud or an oil-based mud; a density that takes the creep into account
Rocks and conditions
Anhydrite and gypsum
What happens
calcium in the mud, flocculation
The answer of the mud
treatment with soda ash, or a gypsum mud
Rocks and conditions
Hot intervals
What happens
breakdown of polymers, thickening of the clay
The answer of the mud
heat-resistant polymers, less bentonite, lignite; tests after heating
Rocks and conditions
Productive formation
What happens
damage by particles and filtrate
The answer of the mud
biopolymer, starch and acid-soluble calcium carbonate of a chosen size

These are guides, not rules: the decision is made on all the factors together and on the experience of the region. HPHT is the filtration test at high pressure and high temperature (tests of the mud).

If no water-based mud can cope with the clays or the salt, and the environmental requirements allow it, we change to an oil-based mud (Oil-based muds). And the other way round: where cuttings with an oil base cannot be discharged and hauling them away is costly, more and more often the aim is to manage with highly inhibitive water-based muds.

Terms and symbols

Tetrahedral and octahedral sheets
A silicon–oxygen sheet of tetrahedra and a sheet of aluminium or magnesium octahedra: the “bricks” of clay minerals.
1:1 and 2:1 layers
One tetrahedral sheet with one octahedral sheet (kaolinite), or an octahedral sheet between two tetrahedral ones (illite, smectite, chlorite).
Smectite (montmorillonite)
A swelling mineral with a 2:1 layer and exchangeable cations between the layers. It is the basis of bentonite. Its CEC is 80–150 meq/100 g.
Cation exchange capacity (CEC)
The amount of exchangeable cations of a clay, in meq per 100 g. It is a measure of the activity of the clay.
Electrical double layer, Debye length
The cloud of counter-ions at a charged surface and its thickness κ−1≈0.304/I\kappa^{-1} \approx 0.304/\sqrt{I} nm. Salt makes it smaller.
Aggregation and dispersion
The gathering of plates face to face into stacks, and the falling apart of the stacks into separate plates.
Flocculation and deflocculation
The sticking of particles edge to face and edge to edge into a loose framework, and the breaking of that framework.
Clay yield
The volume of mud of a given viscosity from 1 t of clay, m³/t. It is the main quality measure of clay powder.
Thinner (deflocculant)
An anionic chemical (lignosulfonate, lignite, tannin, polyphosphate, low-molecular-weight polyacrylate) that neutralises the positive edges of the plates.
Encapsulating polymer
A long anionic polymer, usually partially hydrolysed polyacrylamide, that is adsorbed on the cuttings and the wall and slows their hydration and breaking up.

Common mistakes and misconceptions

Wrong

“Bentonite works the same in any water.”

In fact

In salt and hard water the double layer is squeezed, and bentonite hardly swells. It is hydrated in advance in fresh water, or it is replaced with salt-resistant clays (attapulgite, sepiolite) and polymers.

Wrong

“The mud has thickened, so let us dilute it with water.”

In fact

If the cause is flocculation by calcium, salt or carbonates, water only lowers the density and does not remove the cause. We must find the contaminant from the analyses, bind it and add a thinner.

Wrong

“Against cement, as against gypsum, we use soda ash.”

In fact

Soda ash turns the lime of the cement into caustic soda and raises the pH even more. Against cement we use sodium bicarbonate or sodium acid pyrophosphate.

Wrong

“An inhibitive mud fully protects the clays.”

In fact

Inhibition reduces the interaction with water but does not remove it. The density, the plugging of microfractures and the time that the hole stays open all matter. The strongest inhibitors are oil-based muds.

Wrong

“High chlorides in a potassium mud are a sign of an inflow of formation water.”

In fact

Potassium chloride itself gives tens of grams of chlorides per litre. An inflow is shown by a rise in chlorides with unchanged potassium. A fall in potassium at the same chlorides means that it is used up in exchange with the clays.

In depth: advanced detail

Attraction and repulsion of particles: the idea of the DLVO theory

The stability of a clay suspension is described by the DLVO theory. It is named after Derjaguin and Landau, who proposed it in 1941, and Verwey and Overbeek, who developed it in 1948. The energy of interaction of two particles is the sum of two parts. One is the repulsion of the double layers, which falls with the distance dd roughly as e−κde^{-\kappa d}. The other is the van der Waals attraction, which for two flat plates falls as 1/d21/d^2 in energy and as 1/d31/d^3 in force per unit area. When the double layer is thick, there is an energy barrier between the particles. When they collide in thermal motion, they bounce off, and the suspension is stable. Salt squeezes the layer, and the barrier gets lower. Starting from some concentration, the particles stick at almost every collision. This is the critical coagulation concentration.

The Schulze–Hardy rule
ccr∝1z6c_{\text{cr}} \propto \frac{1}{z^{6}}
where:
  • ccrc_{\text{cr}}critical coagulation concentration of the electrolyte, mol/L
  • zzcharge number of the counter-ion (for clays, the cation), —

Units: ratios of concentrations

Holds when
  • The limiting case of the theory, for a high surface potential. At a moderate potential the exponent is smaller.
  • Special effects are not taken into account: bridges between particles, exchange of cations and recharging of the edges.

For monovalent, divalent and trivalent cations the critical concentrations are roughly in the ratio 1:164:17291 : \tfrac{1}{64} : \tfrac{1}{729}. So calcium flocculates bentonite at concentrations tens of times smaller than sodium does, and bridges and cation exchange strengthen its action even more.

Water activity and osmosis: can a mud draw water out of a clay?

A clay with narrow pores and charged walls holds back dissolved ions in part, but lets water through. It works as an imperfect semipermeable membrane. Then water moves to where its activity awa_w (a measure of how freely the water can move; salt lowers it) is lower, from the less salty liquid into the more salty one. The driving force is expressed as the osmotic pressure.

Osmotic pressure from the activity of water
Π=−R TVˉw ln⁡aw\Pi = -\frac{R\,T}{\bar V_w}\,\ln a_w
where:
  • Π\Piosmotic pressure of the solution relative to pure water, Pa
  • RRuniversal gas constant, 8.314, J/(mol·K)
  • TTabsolute temperature, K
  • Vˉw\bar V_wmolar volume of water, 18.07⋅10−618.07\cdot10^{-6}, m³/mol
  • awa_wactivity of water: 1 for pure water, less in salt solutions; it equals the relative humidity of the air above the solution, —

Units: SI; at 25 °C RT/Vˉw≈137RT/\bar V_w \approx 137 MPa, natural logarithm

Holds when
  • An ideal membrane. In clays in water-based muds its efficiency is small, a few per cent, and the real force is smaller by the same factor.
  • In time the ions penetrate the clay, and the difference of activities evens out.

Above a saturated NaCl brine the relative humidity of the air is about 75%, that is aw≈0.75a_w \approx 0.75, and Π=137⋅(−ln⁡0.75)≈39\Pi = 137\cdot(-\ln 0.75) \approx 39 MPa. Suppose the activity of the pore water of the clay is, for example, 0.97 (Π≈4\Pi \approx 4 MPa). The “ideal” difference is then about 35 MPa in favour of the water leaving the clay. Even with a membrane efficiency of a few per cent, these are megapascals, and this is why salt muds inhibit. In oil-based muds the membrane is the hydrocarbon phase itself, the effect is much stronger, and balancing the activity is based on it (Oil-based muds).

Clay muds at high temperature

As the temperature rises, a clay mud does not behave like a simple viscous liquid. The plastic viscosity falls together with the viscosity of water, but the YP and the gels often rise. The particles collide more often, the hydration shells are thinner, and the bentonite flocculates. With a lot of clay and at temperatures of about 150–200 °C, a mud may thicken after a stop so much that circulation is hard to restore. At the same time the polymers and the organic thinners break down. When lignites and lignosulfonates break down, they release carbon dioxide, and carbonates build up in the mud, which also flocculate the clay (alkalinity of the filtrate).

So for hot intervals the bentonite content is lowered and given an upper limit from the methylene blue test. We switch to heat-resistant synthetic polymers, lignite and sepiolite. The mud is checked after thermal ageing (keeping a sample at the bottomhole temperature in an autoclave with rolling) and in viscometers for high pressure and high temperature (the effect of temperature on rheology).

Connections to other topics

Check yourself

  1. 1

    Why does sodium montmorillonite swell without limit in fresh water, while illite hardly swells?

    1. A.In illite the layers are not charged
    2. B.Illite is hydrophobic and is not wetted by water
    3. C.Montmorillonite dissolves in water
    4. D.In illite the charge is larger and closer to the surface, and the potassium between the layers sits in the hollows of the sheets and hardly hydrates. In montmorillonite the charge is smaller and in the middle of the layer, and hydrated sodium easily pushes the layers apart
    Show the answer

    Correct answer: D. In illite the charge is larger and closer to the surface, and the potassium between the layers sits in the hollows of the sheets and hardly hydrates. In montmorillonite the charge is smaller and in the middle of the layer, and hydrated sodium easily pushes the layers apart

    The charge of the layers in illite is even larger than in smectite, but it arises in the tetrahedra, near the surface. Potassium sits comfortably in the six-sided hollows and is weakly hydrated, so it pulls the layers together firmly. The surface of illite is still hydrophilic (water-loving), like that of all clays. In montmorillonite the charge is in the octahedra, and the cations are held weakly. Sodium, surrounding itself with water, pushes the layers apart until the crystal falls apart.

  2. 2

    Calculate the Debye length in solutions of 0.05 mol/L NaCl and 0.05 mol/L CaCl₂ at 25 °C. Why does calcium chloride flocculate bentonite much more strongly than this difference suggests?

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    NaCl: I=0.05I = 0.05, κ−1=0.304/0.05≈1.36\kappa^{-1} = 0.304/\sqrt{0.05} \approx 1.36 nm. CaCl₂: I=12(0.05⋅4+0.10⋅1)=0.15I = \tfrac12(0.05\cdot 4 + 0.10\cdot 1) = 0.15 mol/L, κ−1≈0.78\kappa^{-1} \approx 0.78 nm, which is thinner by about 1.7 times. But divalent calcium also pushes out sodium and ties the plates with bridges. And by the DLVO theory the critical coagulation concentration for divalent counter-ions is tens of times lower than for monovalent ones.

  3. 3

    After anhydrite was drilled out, the YP and the gel strength rose, the calcium in the filtrate is 600 mg/L, and the pH fell from 10.0 to 9.4. How should the mud be treated?

    1. A.With lime
    2. B.With soda ash, and if needed with caustic soda for the pH and a thinner
    3. C.Only with water
    4. D.With sodium bicarbonate
    Show the answer

    Correct answer: B. With soda ash, and if needed with caustic soda for the pH and a thinner

    Anhydrite gives calcium without hydroxide, and the pH does not rise. So the calcium is precipitated with soda ash, and the pH is raised with caustic soda. Bicarbonate would lower the pH even more (it is needed against cement), lime would add calcium, and water would only dilute the mud.

  4. 4

    A fresh bentonite mud: over the night the PV did not change, the YP rose from 12 to 26 lb/100 ft², the gel became progressive, and the fluid loss rose from 6 to 11 cm³ in 30 min. The calcium is the same (40 mg/L), the chlorides rose from 1500 to 14,000 mg/L, and there is no gain in volume in the tanks. What happened, and what should be done?

    Show the answer

    The chlorides rose almost tenfold (NaCl about 23 g/L, more than 2%), and the calcium is the same. The salt squeezed the double layers, and the clay flocculated: this explains the YP, the gels and the filtration. There is no gain in volume, so this is more likely dissolved salt from a thin salt bed than an inflow. The mud is treated with a thinner and caustic soda, diluted with fresh water if needed, and pre-hydrated bentonite or a salt-resistant fluid-loss reducer is added. If a thick salt is ahead, the mud is changed to a salt-saturated one.

  5. 5

    What does partially hydrolysed polyacrylamide do in a potassium chloride polymer mud?

    1. A.It lowers the density of the mud
    2. B.It is adsorbed on the cuttings and the wall, coats them and slows the entry of water and the breaking up of particles
    3. C.It raises the pH
    4. D.It builds in between the clay layers in place of potassium
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    Correct answer: B. It is adsorbed on the cuttings and the wall, coats them and slows the entry of water and the breaking up of particles

    Long anionic molecules catch on the positive places on the edges and on the surface of the particles, coat the cuttings and the wall and slow their hydration and breaking up. In the hole the cuttings stay large and are removed on the shale shakers. It is potassium (or amines) that builds in between the layers, and the pH is kept with alkali.

  6. 6

    How much potassium chloride is needed to prepare 120 m³ of brine with 7% KCl by mass (density 1.043 g/cm³)? What chlorides will the analysis of the filtrate show?

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    In 1 m³ there is 0.07⋅1043≈73.00.07\cdot 1043 \approx 73.0 kg of KCl, and in 120 m³ about 8.76 t. Chloride: 73.0⋅35.45/74.55≈34.773.0\cdot 35.45/74.55 \approx 34.7 g/L, that is about 34,700 mg/L. These are the chlorides of the inhibitor itself, not a sign of an inflow.

Updated: 19 October 2026