Quick refresher
- By composition, the Earth divides into the crust (5–10 km thick under the oceans and 30–70 km under the continents), the mantle of silicate rocks down to a depth of 2891 km, and the iron core. The outer core is liquid; the inner core (below 5150 km) is solid.
- By strength, the Earth has the lithosphere — the crust together with the upper part of the mantle — and, beneath it, the weaker asthenosphere. The lithosphere is a few kilometres thick at mid-ocean ridges and 200–250 km thick under ancient shields (the old, stable cores of the continents). The boundary between crust and mantle is drawn where the rocks change. The base of the lithosphere is drawn by temperature (about 1300 °C) and strength.
- The mean density of the Earth, 5.5 g/cm³, is twice the density of crustal rocks (2.6–3.0 g/cm³). The heavy material is concentrated in the core (10–13 g/cm³).
- We learn the structure of the interior from seismic waves (waves from earthquakes that travel through the Earth). Their velocities change abruptly at the boundaries between shells, and shear waves do not pass through the liquid outer core.
- Isostasy is the balance of the lithosphere floating on the mantle: at the compensation depth the weight of all rock columns is the same. So mountains have roots, a basin sinks under a load of sediments, and an area that is being eroded rises.
- Heat flow from the interior (the heat that passes through the Earth's surface) averages about 65 mW/m² on the continents and 100 mW/m² in the oceans. A noticeable part of it comes from uranium, thorium and potassium in the crust. The temperature gradient (how fast temperature rises with depth) equals the heat flow divided by thermal conductivity, and it decreases with depth.
velocities of the compressional and shear waves; in a liquid and
root of a mountain range of height under local isostatic compensation (the Airy model)
thickness of sediments filling a basin with an initial water depth
temperature in a layer with thermal conductivity and radiogenic heat production
- Treating the lithosphere as another word for the crust. The lithosphere also includes the upper part of the mantle, and under the continents the mantle is most of its thickness.
- Thinking of the asthenosphere or the mantle as liquid: they are solid (shear waves pass through them) but flow slowly over millions of years.
- Extending the near-surface geothermal gradient down for tens of kilometres: the temperature at the base of the crust comes out hundreds of degrees too high.
- Applying isostasy to a single mountain or a narrow fold: small loads are held up by the strength of the lithosphere, not by buoyancy.
After this lesson you can
- name the shells of the Earth with the depths of their boundaries, their composition, density and temperature, and avoid mixing up the division by composition (crust, mantle, core) with the division by strength (lithosphere, asthenosphere)
- explain how we work out the structure of the interior from compressional and shear seismic waves, and calculate elastic moduli (measures of how stiff a rock is) from wave velocities
- estimate the density of the core from the mass and size of the Earth, and the pressure at depth from the density of rocks
- apply the principle of isostasy (rock columns float in balance on the mantle) to mountain ranges, to a sedimentary basin under a load of sediments, and to erosion
- estimate temperature at depth from heat flow, allowing for the radiogenic heat of the crust (heat made by radioactive decay), and explain why the near-surface gradient cannot be extended down for tens of kilometres
- explain why the lithosphere and the sedimentary cover matter to a petroleum engineer
Shells of the Earth: the general plan
The Earth is a sphere with a mean radius of 6371 km, built of nested shells. Scientists first described the shells by composition. On the outside is a thin stony crust. Beneath it, down to a depth of 2891 km, is the mantle, made of denser silicate rocks (rocks built from minerals that contain silicon and oxygen). At the centre is the core, made of iron with nickel. Its outer part is liquid and its inner part is solid.
The second division is by mechanical properties, that is, by how strong the rock is. The crust together with the upper layer of the mantle forms the rigid lithosphere. It behaves as one elastic body and is broken into plates. Below it lies the asthenosphere — the hot, and therefore soft, part of the mantle over which the plates slowly move. The boundary between crust and mantle is drawn where the rocks change. The base of the lithosphere is drawn where the strength changes, and that depends mainly on temperature. So these are two different surfaces, and the base of the lithosphere lies much deeper than the base of the crust.
- Shell
- Crust
- Depth, km
- from the surface to 5–70
- State and material
- solid; granites, basalts, sedimentary rocks (laid down in layers) and metamorphic rocks (changed by heat and pressure)
- Density, g/cm³
- 2.6–3.0
- Shell
- Upper mantle
- Depth, km
- to 410
- State and material
- solid; peridotite, a dense rock made mainly of the minerals olivine and pyroxene
- Density, g/cm³
- 3.3–3.5
- Shell
- Transition zone
- Depth, km
- 410–660
- State and material
- solid; the same minerals in denser forms
- Density, g/cm³
- 3.7–4.0
- Shell
- Lower mantle
- Depth, km
- 660–2891
- State and material
- solid; still denser silicates and oxides
- Density, g/cm³
- 4.4–5.6
- Shell
- Outer core
- Depth, km
- 2891–5150
- State and material
- liquid; iron with nickel and light elements
- Density, g/cm³
- 9.9–12.2
- Shell
- Inner core
- Depth, km
- 5150–6371
- State and material
- solid; iron with nickel
- Density, g/cm³
- 12.8–13.1
| Shell | Depth, km | State and material | Density, g/cm³ |
|---|---|---|---|
| Crust | from the surface to 5–70 | solid; granites, basalts, sedimentary rocks (laid down in layers) and metamorphic rocks (changed by heat and pressure) | 2.6–3.0 |
| Upper mantle | to 410 | solid; peridotite, a dense rock made mainly of the minerals olivine and pyroxene | 3.3–3.5 |
| Transition zone | 410–660 | solid; the same minerals in denser forms | 3.7–4.0 |
| Lower mantle | 660–2891 | solid; still denser silicates and oxides | 4.4–5.6 |
| Outer core | 2891–5150 | liquid; iron with nickel and light elements | 9.9–12.2 |
| Inner core | 5150–6371 | solid; iron with nickel | 12.8–13.1 |
The depths of the boundaries and the densities come from a seismological model of the Earth and are rounded. The density of each shell increases with depth because of compression, and it jumps at the boundaries.
Temperature increases with depth. At the base of the continental crust it is usually 400–800 °C. At the base of the lithosphere it is about 1300 °C, at the core–mantle boundary about 3500–4000 °C, and at the edge of the inner core and at the centre about 5000–6000 °C. The deep values are estimates from laboratory experiments on materials at high pressure and from calculations. They are uncertain by hundreds of degrees. The pressure at the centre is about 364 GPa, which is 3.6 million times atmospheric pressure.
A semicircle: a section through the Earth. At the centre is the solid inner core, extending to a depth of 6371 km, with its boundary at 5150 km; around it is the liquid outer core to 2891 km, then the lower mantle to 660 km, a thin layer of upper mantle with the transition zone, and, at the very surface, the line of the crust. Along the base line under the drawing the depths of the boundaries 0, 660, 2891 and 5150 km and of the centre, 6371 km, are marked; the lower mantle, the outer core and the inner core are labelled with density and state, the crust and the upper mantle with depths.
The crust and the sedimentary cover
The crust is of two types, and they differ in almost everything. Oceanic crust is built of basalts and gabbros — dark rocks rich in iron, magnesium and calcium. It is thin, dense and young. Mid-ocean ridges constantly create it, and it is swallowed in zones where one plate dives beneath another. So almost no sea floor older than about 200 million years remains on Earth. Continental crust is much thicker. Its upper part is close to granite in composition, and its lower part is close to darker, denser rocks. It is lighter than oceanic crust and can be very old — up to 4 billion years.
- Property
- Thickness
- Oceanic
- usually 6–8 km
- Continental
- about 40 km on average; 20–30 km where the crust is being stretched, up to 70 km or more under high mountains
- Property
- Main rocks
- Oceanic
- basalts, gabbros
- Continental
- granites, gneisses (banded metamorphic rocks), sedimentary rocks; darker rocks richer in iron and magnesium (mafic rocks) at the base
- Property
- Mean density
- Oceanic
- about 2.9–3.0 g/cm³
- Continental
- about 2.7–2.85 g/cm³
- Property
- Age
- Oceanic
- younger than 200 million years
- Continental
- up to 4 billion years
| Property | Oceanic | Continental |
|---|---|---|
| Thickness | usually 6–8 km | about 40 km on average; 20–30 km where the crust is being stretched, up to 70 km or more under high mountains |
| Main rocks | basalts, gabbros | granites, gneisses (banded metamorphic rocks), sedimentary rocks; darker rocks richer in iron and magnesium (mafic rocks) at the base |
| Mean density | about 2.9–3.0 g/cm³ | about 2.7–2.85 g/cm³ |
| Age | younger than 200 million years | up to 4 billion years |
Almost half the mass of the crust is oxygen, more than a quarter is silicon, and about 8% is aluminium. Then come iron, calcium, sodium, potassium and magnesium. These eight elements make up about 98% of the mass of the crust. That is why the main minerals of the crust are silicates, built from silicon and oxygen (Minerals and rocks). The Earth as a whole is built differently: about a third of its mass is iron, and almost all of that iron has gone into the core.
The base of the crust is called the Mohorovičić discontinuity (a sharp boundary across which rock properties change), or simply the Moho. Across it the velocity of compressional seismic waves jumps from about 6.5–7 to 8 km/s. The Croatian seismologist Andrija Mohorovičić discovered it in 1909 from earthquake records. At distances of hundreds of kilometres from the source of the earthquake, the waves that arrived first were the ones that had travelled through the faster rocks of the mantle (see the advanced section).
In places the crust is covered by a sedimentary cover: a thick sequence of sedimentary rocks (rocks formed from layers of sand, mud and other sediment) that built up in low areas of the Earth's surface. Beneath it lies the basement, made of igneous rocks (rocks that cooled from molten rock) and metamorphic rocks. On ancient shields there is no cover, and the basement is exposed at the surface. In deep sedimentary basins the cover reaches 10–20 km. Almost all oil and gas accumulations lie in the sedimentary cover. It contains organic-rich rocks (the source of the oil), porous reservoirs (which hold it) and seals (which trap it) (Petroleum system and the play concept).
Two columns reaching a depth of 300 km. On the left, the ocean: water 4 km, oceanic crust 7 km, below it lithospheric mantle to a depth of about 100 km, then the asthenosphere. On the right, the continent: a sedimentary cover several kilometres thick, crust to 40 km, lithospheric mantle to a depth of about 180 km, then the asthenosphere. Dashed lines mark the Moho in each column and the base of the lithosphere, labelled about 1300 °C.
The mantle, the core and pressure in the interior
The mantle makes up about 83% of the volume of the Earth and two thirds of its mass. Its upper part is made of peridotite, a dark, dense rock that consists mainly of the minerals olivine and pyroxene. You can see such rocks at the surface as fragments carried up by volcanoes and in slabs of mantle squeezed up when plates collide. With depth, pressure rearranges the crystal structure of the minerals into denser forms. At depths of about 410 and 660 km this causes jumps in density and wave velocity. These jumps identify the transition zone, the layer between those two depths.
The mantle is solid (shear waves pass through it), but hot rocks under load creep slowly, like ice in a glacier. Over tens of millions of years, convection stirs the mantle material at speeds of the order of centimetres per year. Convection is a slow circulation: hot material rises and cooler material sinks. The lithospheric plates move at the same pace (Plate tectonics and sedimentary basins).
The core is iron with some nickel (about 5%) and a few per cent of light elements — oxygen, silicon, sulfur and others. We know the light elements are there because pure iron at such pressures would be roughly 5–10% denser than the seismic data show. The outer core is liquid. Currents in it act like a huge dynamo and create the Earth's magnetic field. The inner core is solid, although it is hot: the melting temperature of iron rises with pressure, and at the centre it is higher than the actual temperature.
The simplest evidence for a heavy core is the mean density of the Earth. We find the mass of the planet from its gravitational pull (from the orbits of the Moon and of satellites) and its volume from its size. The ratio gives 5.51 g/cm³. The rocks at the surface are only half as dense, and even the compressed silicates of the lower mantle are no denser than 5.6 g/cm³. So the centre must contain material far denser than any rock.
- Mass of the Earth
- kg
- Mean radius
- 6371 km
- Radius of the core (from seismic data)
- 3480 km
- Mean density of the mantle together with the crust
- 4450 kg/m³ (from a seismological model)
- Volume of the Earth m³; mean density kg/m³.
- Volume of the core m³, which is 16.3% of the volume of the planet.
- Mass of the mantle and crust: kg.
- Mass of the core: kg, or 32.4% of the mass of the Earth.
- Density of the core: kg/m³.
What it means. No rock has such a density. Only iron compressed by a pressure of hundreds of gigapascals reaches it (at the surface, iron has a density of 7.9 g/cm³). The result depends on the density of the mantle: if you take the mantle density 100 kg/m³ lower, the density of the core comes out 0.5 g/cm³ higher. But for any reasonable values the core is still iron. A model of two uniform shells is a simplification, because density increases with depth inside the mantle and inside the core as well. The numbers are rounded values for the real Earth.
Pressure in the interior comes from the weight of the overlying shells, in the same way as overburden pressure in a sedimentary section. A column of crust 40 km high, with a mean density of 2.8 g/cm³, presses on its base with a pressure GPa — about 11 thousand atmospheres. At a depth of 660 km the pressure is about 23 GPa, at the core boundary 136 GPa, and at the centre about 364 GPa. The acceleration due to gravity is almost constant throughout the mantle, at about 10 m/s². It decreases to zero only inside the core: the mass lying above pulls in all directions and adds no weight.
Lithosphere and asthenosphere
The lithosphere is the crust plus the upper, comparatively cold part of the mantle. It is rigid: a load makes it bend or break along faults, not flow. Its base is usually put at a temperature of about 1300 °C. Deeper than that, the mantle rocks are so close to melting that over geological time they flow even under small stresses.
The thickness of the lithosphere varies more than the thickness of the crust. At mid-ocean ridges, where hot mantle material rises, it is only a few kilometres thick. With distance from the ridge the oceanic lithosphere cools and thickens, roughly in proportion to the square root of its age, up to 100 km under old sea floor. Under young rifts (zones where the crust is pulling apart) and fold belts (mountain belts built by folding), the continental lithosphere is thin and hot. Under ancient shields it is cold and reaches 200–250 km.
Beneath the lithosphere lies the asthenosphere. In this layer seismic waves travel more slowly and the rocks are weaker. Under the oceans the layer is most pronounced at depths of roughly 80–200 km. The cause is high temperature and, possibly, a small fraction of melt between the grains. But on the whole the asthenosphere is solid: it lets shear waves pass, and it flows only over thousands to millions of years. That is why the lithosphere can “float” on it (see the section on isostasy).
- What is compared
- Upper layer
- By composition
- crust
- By strength
- lithosphere: crust and upper mantle
- What is compared
- Lower boundary
- By composition
- Moho: change of rocks, jump in wave velocities
- By strength
- base of the lithosphere: about 1300 °C
- What is compared
- What lies below
- By composition
- mantle
- By strength
- asthenosphere, then the rest of the mantle
- What is compared
- What it is useful for
- By composition
- composition and density of rocks
- By strength
- plates, subsidence (sinking), isostasy, temperature conditions
| What is compared | By composition | By strength |
|---|---|---|
| Upper layer | crust | lithosphere: crust and upper mantle |
| Lower boundary | Moho: change of rocks, jump in wave velocities | base of the lithosphere: about 1300 °C |
| What lies below | mantle | asthenosphere, then the rest of the mantle |
| What it is useful for | composition and density of rocks | plates, subsidence (sinking), isostasy, temperature conditions |
How we learn the structure of the interior: seismic waves
Nobody has been able to drill deeper than the first 12 km of the Earth. So we work out the structure of the Earth indirectly, and the main source of information is seismic waves. An earthquake or an explosion sends two types of elastic waves through the rocks. In a compressional wave (P-wave, from “primary”) the particles move back and forth along the direction the wave travels, so the rock is alternately squeezed and stretched. In a shear wave (S-wave, from “secondary”) the particles move sideways, at right angles to that direction, so the rock is sheared. The compressional wave is faster and arrives first.
- velocities of the compressional and shear waves, m/s
- bulk modulus: resistance to a change of volume, Pa
- shear modulus: resistance to a change of shape, Pa
- density, kg/m³
Units: SI; if the density is taken in g/cm³ and the velocity in km/s, comes out directly in gigapascals
- A homogeneous, isotropic, elastic medium (the same at every point and in every direction, and springing back after a load).
- The moduli are dynamic: they apply to the small, fast strains that the wave produces.
Velocity increases with stiffness and decreases with density. In a liquid the shear modulus is zero, so shear waves cannot travel in it. Compressional waves also travel more slowly in a liquid than they would in a solid with the same compressibility. Sonic logging uses the same formulas for the rocks at the borehole wall.
At a boundary between rocks with different velocities, a wave is partly reflected and partly refracted (it changes direction, like a ray of light at the surface of water). Seismic stations around the world record when the waves from thousands of earthquakes arrive. From how the travel time depends on distance, scientists work out how velocity changes with depth. This is how the main boundaries were found:
- The Moho (1909) — from the bend in the time–distance graph. At distances of hundreds of kilometres from the source, the first arrivals are waves that have travelled through the fast mantle.
- The core boundary (1914, Beno Gutenberg) — at about 2900 km. In the core, compressional waves slow down sharply and bend, so at epicentral distances (angles at the Earth's centre, measured from the point above the source) of roughly 103° to 142° there are no direct P-waves. This is the shadow zone.
- The liquid outer core — shear waves do not pass through it, so beyond about 103° from the source there are no direct S-waves.
- The inner core (1936, Inge Lehmann) — from weak P-waves that nevertheless arrive in the shadow zone, because a boundary inside the core deflects them. Later, the free oscillations of the Earth after very large earthquakes (the whole planet rings like a bell) confirmed that the inner core is solid.
A graph: along the horizontal axis, velocity in kilometres per second and density in grams per cubic centimetre, from 0 to 14; along the vertical axis, depth from 0 to 6371 km, increasing downwards. The P-wave velocity rises in the mantle from 8 to 13.7 km/s, drops at a depth of 2891 km to 8.1, rises again in the core to 10.4, jumps at 5150 km to 11 and reaches 11.3 towards the centre. The S-wave velocity rises in the mantle from 4.5 to 7.3, is zero in the outer core and is about 3.5–3.7 in the inner core. The density rises from 3.4 at the base of the crust to 5.6 at the base of the mantle, jumps to 9.9 in the core and reaches 13.1 at the centre. Horizontal dashes mark the depths of 660, 2891 and 5150 km.
- Lower mantle at the core boundary
- g/cm³, km/s, km/s
- Outer core at the boundary
- g/cm³, km/s,
- Shear modulus of the mantle: GPa (density in g/cm³, velocity in km/s).
- Bulk modulus of the mantle: GPa.
- Core: , so GPa.
- Comparison: the bulk modulus differs by only 2% across the boundary, the density increases by a factor of 1.78, and the shear modulus vanishes.
What it means. If the core were solid, with the same shear modulus as the mantle, the compressional wave would travel in it at about 10.2 km/s. The sharp drop in velocity, together with the absence of shear waves, is what showed that the outer core is liquid. The velocities and densities are rounded values from a seismological model of the Earth.
Isostasy: the lithosphere floats on the mantle
Why do the continents stand above sea level while the ocean floor lies 4–5 km deep? Why do mountains not punch down through the crust? The answer is isostasy: the balance of the light lithosphere floating on the denser, softer mantle. Think of blocks of wood floating in water. The higher a block rises above the water, the deeper it sinks into it.
The condition for balance is this. At a certain compensation depth — below the deepest roots, in the soft mantle — the pressure beneath every area is the same. This means that rock columns of equal cross-section weigh the same. If the load grows somewhere, the column sinks and pushes the mantle sideways until the balance returns. If the load is taken away, the column rises.
- depth of the root: how much deeper the base of the crust is under the mountains than under a plain with normal crust, km
- height of the mountains above the surface of that plain, km
- density of the crust, g/cm³
- density of the upper mantle, g/cm³
Units: any consistent units: and in the same unit of length, the densities in the same unit
- The density of the crust is the same everywhere and only its thickness varies (the Airy model). In the Pratt model it is the other way round: the density varies and the depth of the base stays the same.
- Compensation is local: each column is balanced on its own, and the strength of the lithosphere is ignored.
- The mantle is the same under the mountains and under the plain.
At the usual densities (, g/cm³) the root is 5–6 times deeper than the mountains are high. That is why the crust is thickest under high ranges.
- Normal crust of the plain
- 40 km, density 2.8 g/cm³
- Density of the upper mantle
- 3.3 g/cm³
- Mountain range
- on average 3.0 km higher than the plain
- Erosion
- a layer of rock 1.0 km thick, of the same density, is removed from the range
- Root: km; thickness of the crust under the range km.
- Erosion removes 1 km of rock. The column becomes lighter, and the mantle pushes it up by km.
- The surface of the range has lowered by only km. To lower it by 1 km, erosion has to remove km of rock.
What it means. Mountains “resist” erosion: as long as the root remains, the mantle props them up from below. For the petroleum engineer the flip side matters more. In uplifted and eroded areas, rocks that now lie at shallow depth were once buried much deeper. They were more compacted and more heated than their present depth would suggest (Source rocks, maturation and migration). The calculation assumes local compensation. So for loads tens of kilometres wide it overestimates both the root and the uplift caused by erosion, because the stiffness of the lithosphere against bending (its flexural rigidity) holds part of the load. The data in this example are assumed for illustration.
The same principle explains why sedimentary basins can be so deep. Suppose a basin is filled with water to a depth and sediments begin to arrive. Each metre of sediment is heavier than the water it pushes out, so the floor beneath it sinks. While sediments keep arriving, the basin keeps getting deeper. In the end the sediments are 2–3 times thicker than the initial water depth.
- thickness of the sediments that have filled the basin up to the former water level, km
- initial water depth in the basin, km
- densities of the mantle, water and sediments (average over the sequence), g/cm³
Units: any consistent units
- The basin is filled up to the former water level, and sea level has not changed.
- Compensation is local; the lithosphere beneath the basin does not stretch or cool while the basin is filling.
- The mean density of the sediments is constant (in reality it increases as they compact).
The denser the sediments, the harder they push the floor down and the thicker the sequence grows. As the sequence would grow without limit: each new metre of sediment would sink by a metre, so the water depth would never decrease. The load of sediments does not create a basin. It makes the first depression, which formed when the lithosphere stretched or cooled, 2–3 times deeper (Plate tectonics and sedimentary basins).
- Initial water depth
- 2.0 km
- Densities
- mantle 3.3; sea water 1.03; sediments on average 2.4 g/cm³
- Normal crust of the neighbouring areas
- 40 km, 2.8 g/cm³, surface at sea level
- Thickness of the sediments: km; the floor has sunk a further 3.04 km.
- If the sediments are denser, 2.6 g/cm³: km; if lighter, 2.2 g/cm³: km.
- What the crust under the basin was like. For the floor to lie 2 km lower than the neighbouring plains, the crust must be thinner than normal by km, so it is 30.92 km thick. After filling, the base of this crust sinks to km.
What it means. This is how sequences many kilometres thick build up in basins, even though the sea in them was never deeper than the first few kilometres. The calculation is simplified. The density of the sediments increases as they compact. The strength of the lithosphere holds part of the load, so less sediment fits in. The lithosphere beneath the basin goes on cooling and sinking, so more fits in. Geologists include all this when they reconstruct the burial history, the record of how deep the rocks lay at each time (Traps and timing). The data in this example are assumed for illustration.
A scale drawing: the vertical axis shows depth from 6 km above sea level to 70 km. The left column is the plain: crust from sea level to 40 km, mantle below. The middle one is the range: the crust rises 3 km above sea level and extends down to a depth of 56.8 km, so its thickness is 59.8 km; the part below 40 km is labelled as the root, 16.8 km. The right one is the basin: sediments from sea level to 5.04 km, beneath them crust 30.9 km thick to a depth of about 36 km, mantle below. The dashed line at 65 km is the compensation level.
Isostasy is an approximation for large areas. The strength of the lithosphere holds up a single mountain, a volcanic island or a narrow fold. The lithosphere bends like a plank under a weight and spreads the load over hundreds of kilometres around. Departures from balance show up in gravity anomalies (places where gravity is stronger or weaker than expected). Where the balance was disturbed recently, it is being restored before our eyes. Since the ice sheets of the last glaciation melted, the shores of the Gulf of Bothnia and Hudson Bay have been rising by up to a centimetre a year. Exploration also uses gravity anomalies. For example, salt is lighter than the surrounding rocks, and over salt domes gravity is usually lower (Geophysical exploration methods).
The Earth's heat: heat flow and temperature at depth
The Earth is slowly cooling. In the lithosphere, heat travels to the surface by conduction (passing through solid rock without the rock moving). In the mantle and the liquid core it travels mainly by convection. There are two sources of heat: heat stored when the planet formed, and heat from the radioactive decay of uranium, thorium and potassium-40. These are the same elements whose radiation the gamma ray log records. By current estimates, the two sources give comparable shares of the total flow. The radioactive elements are especially concentrated in the continental crust.
The measure is heat flow : the heat that passes through one square metre of surface in one second, expressed in milliwatts per square metre. Scientists find it from temperature measurements in wells and from the thermal conductivity of core (how well the rock conducts heat). Heat flow equals thermal conductivity multiplied by the geothermal gradient (the rise of temperature with depth). On average about 65 mW/m² passes through the continents and about 100 mW/m² through the ocean floor. In all, the Earth loses about 46 TW. This is several thousand times less than it receives from the Sun, so the interior hardly warms the weather and climate.
- Region
- Ancient shields and platforms
- Heat flow, mW/m²
- about 40–55
- Why
- thick, cold lithosphere
- Region
- Most sedimentary basins
- Heat flow, mW/m²
- 40–80
- Why
- depends on the age and thickness of the lithosphere beneath the basin and on the radiogenic heat of the crust
- Region
- Young rifts and volcanic areas
- Heat flow, mW/m²
- 80–120 or more
- Why
- thin, hot lithosphere; upwelling of hot mantle material
- Region
- Ocean floor
- Heat flow, mW/m²
- from over 200 at the ridges to 45–50 on old sea floor
- Why
- the lithosphere cools with distance from the ridge
| Region | Heat flow, mW/m² | Why |
|---|---|---|
| Ancient shields and platforms | about 40–55 | thick, cold lithosphere |
| Most sedimentary basins | 40–80 | depends on the age and thickness of the lithosphere beneath the basin and on the radiogenic heat of the crust |
| Young rifts and volcanic areas | 80–120 or more | thin, hot lithosphere; upwelling of hot mantle material |
| Ocean floor | from over 200 at the ridges to 45–50 on old sea floor | the lithosphere cools with distance from the ridge |
Approximate values. Some individual measurements fall outside these limits because of groundwater movement, recent sedimentation or erosion.
The temperature gradient in each layer equals the heat flow divided by the thermal conductivity of the rock, (example with a layer of salt). At a heat flow of 65 mW/m² and a thermal conductivity of 2.5 W/(m·K), this is 26 °C/km, a typical near-surface gradient. But you cannot extend it downwards. The radioactive elements scattered through the crust release heat themselves, so less heat flows through the deep layers than through the near-surface ones. The gradient therefore decreases with depth.
- temperature at depth , °C
- mean annual surface temperature, °C
- heat flow at the surface, W/m²
- thermal conductivity of the rocks of the layer, W/(m·K)
- heat production — the heat of radioactive decay released in 1 m³ of rock (usually quoted in µW/m³), W/m³
- depth, m
Units: SI: in W/m², in W/m³, in W/(m·K), in m; temperature in °C
- Steady one-dimensional transfer of heat by conduction, with no movement of groundwater.
- and are constant in a layer of thickness ; below it, where , the gradient is constant and equal to .
- There has been no recent heating or cooling: rifting, rapid sedimentation and erosion disturb the steady-state profile.
Radiogenic heat makes the temperature curve flatten with depth: the gradient is greatest at the surface and decreases downwards. The quantity is called the reduced, or mantle, heat flow. It is the heat that arrives from beneath the radiogenic layer.
- Surface
- °C, heat flow mW/m²
- Upper crust 0–15 km
- heat production µW/m³
- Below 15 km
- radiogenic heat is neglected
- Thermal conductivity
- crust 2.5, mantle 3.0 W/(m·K); base of the crust at a depth of 40 km
- Near-surface gradient: K/m °C/km. The radiogenic layer contributes mW/m² (µW/m³ × km = mW/m²), and mW/m² arrives from below.
- Depth 15 km. Without radiogenic heat it would be °C; the layer reduces this value by °C, giving 319 °C.
- From 15 to 40 km the gradient is K/m °C/km; at the base of the crust °C.
- Extending the near-surface gradient would give at 40 km °C — 351 °C more.
- In the mantle the gradient is K/m °C/km; 1300 °C — the base of the lithosphere — is reached at a depth of km.
What it means. Extending the near-surface gradient would make the temperature at the base of the crust 351 °C too high — an error of the same order of magnitude as the temperature itself. In the first 5 km, where the accumulations lie, the radiogenic correction in this model is only 9 °C. So for reservoirs the gradient found from wells is enough, if you also take the thermal conductivity of the rocks into account (Reservoir pressure and temperature). Shale sequences, however, release 1–2 µW/m³ themselves and conduct heat poorly, so in thick shaly sections the correction is larger. The model is steady-state: in young rifts and rapidly subsiding basins the profile has not yet settled. Two other simplifications push in opposite directions. The heat of the lower crust, which we neglected, would reduce the flow from the mantle and lower the temperature at the base of the crust (the base of the lithosphere would then be deeper). The fall of the thermal conductivity of rocks as they heat up would raise it. The data in this example are assumed for illustration.
A graph: along the horizontal axis, temperature from 0 to 1400 °C; along the vertical axis, depth from 0 to 100 km, increasing downwards. The solid curve starts at 10 °C at the surface, gradually flattens and passes through 319 °C at 15 km and 699 °C at the base of the crust at 40 km, then continues as a straight line to 1300 °C at a depth of about 87 km. The dashed straight line extends the near-surface gradient of 26 °C per kilometre and reaches 1050 °C already at 40 km. A horizontal dashed line at 40 km is labelled as the base of the crust.
What matters to the petroleum engineer
- The sedimentary cover is where the accumulations are. Oil and gas form from the organic matter in sediments and collect in sedimentary reservoirs beneath seals. So exploration starts with a basin that has a thick enough cover (Petroleum system and the play concept). The basement is a reservoir only where it is fractured or weathered (Minerals and rocks).
- Heat flow sets maturity (how far organic matter has turned into oil). It decides the depth at which a source rock enters the oil window (the temperature range in which it makes oil): shallower in a hot basin, deeper in a cold one (Source rocks, maturation and migration). It also sets the reservoir temperature, and with it the properties of the fluids (Reservoir pressure and temperature).
- Subsidence (sinking) creates room for sediments, while uplift and erosion bring previously buried rocks closer to the surface. These rocks are more compacted and more heated than their present depth would suggest.
- The weight of the rocks and the stresses in the lithosphere decide the overburden pressure, the fracture pressure (the pressure at which the rock splits) and wellbore stability (Pore pressure and overburden pressure, Fracture gradient and leak-off testing, Rock mechanics for hydraulic fracturing). The rigid lithosphere carries stresses from plate boundaries over thousands of kilometres. These stresses set the preferred directions of natural fractures and hydraulic fractures.
- Seismic waves are the main exploration tool. A seismic survey probes the sedimentary cover with the same compressional and shear waves that probe the whole globe. It uses frequencies of tens of hertz and reaches depths of a few kilometres (Geophysical exploration methods).
Terms and symbols
- Crust
- The upper stony shell: oceanic (usually 6–8 km, basalts and gabbros) and continental (about 40 km on average, granites, metamorphic and sedimentary rocks).
- Mantle
- The silicate shell from the base of the crust to a depth of 2891 km; solid, but it flows slowly over millions of years.
- Core
- The iron–nickel core: the outer core is liquid (2891–5150 km), the inner core is solid.
- Lithosphere
- The rigid shell made of the crust and the upper part of the mantle; its base is at about 1300 °C; it is broken into plates.
- Asthenosphere
- The weakened, hot layer of the mantle beneath the lithosphere, over which the plates move.
- Mohorovičić discontinuity (Moho)
- The base of the crust: a jump in compressional wave velocity to about 8 km/s.
- P- and S-waves
- Compressional (squeezing and stretching) and shear (sideways movement) elastic waves; shear waves do not pass through a liquid.
- Isostasy
- The balance of the lithosphere floating on the mantle: at the compensation depth the pressure beneath every area is the same.
- Heat flow
- The heat that passes through one square metre of surface in one second, in mW/m²; it equals the thermal conductivity multiplied by the temperature gradient.
- Heat production
- The heat of radioactive decay of uranium, thorium and potassium in 1 m³ of rock, µW/m³.
- Sedimentary cover and basement
- The sequence of sedimentary rocks and the igneous and metamorphic rocks beneath it.
Common mistakes and misconceptions
“The lithosphere is the Earth's crust.”
The lithosphere includes the crust and the upper part of the mantle; under the continents the mantle makes up most of its thickness. The boundary between crust and mantle (the Moho) is drawn by composition, the base of the lithosphere by strength and temperature.
“Beneath the crust there is an ocean of liquid magma.”
The mantle is solid: shear waves pass through it. Melt appears only in places — beneath volcanoes, rifts and mid-ocean ridges. Of the Earth's shells only the outer core is liquid.
“If the gradient in a well is 30 °C/km, the temperature at a depth of 30 km will be 900 °C.”
The gradient decreases with depth: part of the heat flow is generated by radioactive decay in the upper crust, and a smaller flow passes through the deep layers. Extending the near-surface gradient overestimates the temperature by hundreds of degrees.
“If a basin contains 6 km of sediments, there was once a sea 6 km deep there.”
The sediments themselves push the floor down: with local compensation a basin with an initial water depth of 2 km holds about 5 km of sediments. The initial depression is created by stretching or cooling of the lithosphere, and the load of the sediments deepens it by a factor of 2–3.
“The core is dense because it consists of the same rocks, only strongly compressed.”
Even the compressed silicates of the lower mantle are no denser than 5.6 g/cm³. A core density of 10–13 g/cm³ is given only by iron with nickel.
In depth: advanced detail
How the depth of the Moho is found from refracted waves
Suppose a crust of thickness , with a compressional wave velocity , lies on a mantle with a higher velocity . A wave hits the boundary at the critical angle , where . It then glides along the top of the mantle at velocity , and all the time it sends energy back up into the crust. This is the head wave, the same one that arrives first in sonic logging. At short distances from the source, the first arrival is the direct wave through the crust. At long distances, the first arrival is the head wave. Its path is longer, but it spends most of it in the fast mantle.
- distance from the source at which head waves begin to arrive first (the bend in the time–distance graph), km
- thickness of the upper layer (the crust), km
- compressional wave velocities in the crust and in the upper mantle, km/s
Units: any consistent units
- The boundary is horizontal and the layers are homogeneous.
- The source and receivers are at the surface.
On the graph of first-arrival times, you read and from the two straight branches (each velocity is the reciprocal of the slope of its branch). You also read the bend point , and from it you find the thickness of the crust.
- Velocity on the direct-wave branch
- 6.4 km/s
- Velocity on the head-wave branch
- 8.1 km/s
- Bend in the graph
- 210 km
- Thickness of the crust: km.
- Critical angle . The head wave comes back to the surface only beyond a distance of km.
What it means. This is how the boundary between crust and mantle was found: on earthquake records at distances of hundreds of kilometres from the source, the first arrivals were waves with a velocity of about 8 km/s. In practice the boundary is tilted and the velocity in the crust increases with depth. So scientists record in opposite directions and solve the inverse problem numerically (they search for the structure that fits the recorded times). The data in this example are assumed for illustration.
Radiogenic heat from potassium, uranium and thorium content
You calculate the heat production of a rock from the content of the same three elements that the spectral gamma ray log measures:
- heat production of the rock, µW/m³
- density of the rock, kg/m³
- uranium and thorium content, ppm (g/t)
- potassium content, % by mass
Units: in µW/m³, in kg/m³, and in ppm, in % by mass
- The coefficients are the heat released by the decay of 1 kg of natural uranium (about 95 µW), thorium (about 26 µW) and potassium (about 0.0035 µW), converted to the units of content used. Different tables of decay constants differ by a few per cent.
- The uranium and thorium decay series are in radioactive equilibrium.
Per unit of content, uranium gives the most heat. But rocks usually contain 3–4 times more thorium, so in granites and shales uranium and thorium give comparable shares of the heat, and potassium a smaller share.
- Granite
- kg/m³; potassium 4.0%, uranium 4 ppm, thorium 16 ppm
- Shale (mudstone)
- kg/m³; potassium 2.8%, uranium 3.5 ppm, thorium 12 ppm
- Thicknesses
- granite layer 10 km, shale sequence 3 km
- Granite: µW/m³.
- Shale: µW/m³.
- Contribution to the heat flow at the surface ( × thickness): granite — mW/m², shale — mW/m².
What it means. That is why a basin on a granite basement rich in uranium and thorium can be noticeably warmer than its neighbour, and its source rocks mature at a shallower depth. In black shales rich in organic matter, the uranium content can be several times the average. So heat production should be found from spectral logs or from core analyses of the particular section. The element contents in the example are assumed, but typical of such rocks.
Connections to other topics
- Plate tectonics and sedimentary basins — how the lithospheric plates move and why sedimentary basins arise at their boundaries and within them.
- Minerals and rocks — the minerals and rocks of which the crust and mantle are made.
- Reservoir pressure and temperature — reservoir temperature, the geothermal gradient and heat flow through layers of different thermal conductivity.
- Source rocks, maturation and migration — how the temperature of the subsurface turns organic matter into oil and gas.
- Pore pressure and overburden pressure — overburden pressure as the weight of the overlying rocks.
- Sonic log — elastic wave velocities in the rocks at the borehole wall.
- Petroleum system and the play concept — the elements of the petroleum system in the sedimentary cover.
Check yourself
- 1
Which boundary is drawn by a change of strength rather than by a change of composition or of the phase state of the material?
- A.The boundary between the outer and inner core
- B.The Mohorovičić discontinuity
- C.The core–mantle boundary
- D.The base of the lithosphere
Show the answer
Correct answer: D. The base of the lithosphere
The Moho separates crustal and mantle rocks, the core boundary separates silicates and iron, and the boundary of the inner core separates liquid and solid iron. The base of the lithosphere lies inside a mantle of one composition. Above it the rocks are cold and rigid; below it they are hot and soft. It is linked to a temperature of about 1300 °C.
- 2
Why do shear waves not pass through the outer core?
- A.It is liquid, and the shear modulus is zero
- B.It is too dense
- C.It is too hot
- D.They are absorbed by the magnetic field
Show the answer
Correct answer: A. It is liquid, and the shear modulus is zero
, and a liquid has no resistance to shear: , so a shear wave does not propagate. Density and temperature merely change the wave velocity; compressional waves do pass through the core.
- 3
A plateau stands 2 km above a plain where the crust has a normal thickness of 35 km. Assume local compensation. The density of the crust is 2.75 g/cm³ and that of the mantle is 3.30 g/cm³. What is the thickness of the crust under the plateau?
Show the answer
Root km. The thickness of the crust under the plateau is km. The calculation holds for a plateau hundreds of kilometres wide. The strength of the lithosphere partly holds up a narrow range, so its root is smaller.
- 4
A basin with an initial water depth of 1.5 km is filled with sediments of mean density 2.5 g/cm³ (density of the mantle 3.3, of water 1.0 g/cm³). With local compensation, what is the thickness of the sediments, and why is it greater than the water depth?
Show the answer
km. The sediments are heavier than the water they push out. Their weight pushes the lithosphere down, the mantle moves aside, and the floor sinks, which makes room for new sediments.
- 5
In a well the temperature at a depth of 3 km is 100 °C, with 10 °C at the surface; the thermal conductivity of the rocks is 2.0 W/(m·K). Find the heat flow. Can the same gradient be used to estimate the temperature at a depth of 25 km?
Show the answer
The gradient is °C/km, and the heat flow is W/m², that is, 60 mW/m². You cannot extend the gradient to 25 km. Radioactive decay inside the crust itself produces part of the heat flow, so the flow is smaller deeper down, and the temperature will be lower than the 760 °C that extending the gradient would give. Also, the basement rocks have a different thermal conductivity.
- 6
The mean density of the Earth is 5.5 g/cm³, and that of crustal rocks about 2.8 g/cm³. What follows from this?
- A.Nothing: the mean density has nothing to do with the structure
- B.The interior is made of the same rocks as the crust, only compressed
- C.Density increases with depth, and the centre contains material much heavier than rocks
- D.There are voids inside the Earth
Show the answer
Correct answer: C. Density increases with depth, and the centre contains material much heavier than rocks
Compressing silicates gives no more than 5.6 g/cm³ even in the lower mantle. For the mean density to reach 5.5 g/cm³, about a third of the mass must be in a core with a density of about 11 g/cm³: iron with nickel (see the example in the lesson).
Updated: 9 October 2026