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Geothermal Gradient and Crustal Heat Flow

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Earth's Interior StructureHeat Conduction and Steady-State Heat FlowHeat Flow Measurement and Geothermal Gradient+4 more
heat-flow geothermal-gradient thermal-properties interior-heat

Core Idea

The geothermal gradient (dT/dz) is typically 25–30 K/km in stable continental crust but varies with crustal thickness, composition, and age. Heat flow q = −k(dT/dz) depends on thermal conductivity k; high heat flows mark mid-ocean ridges and hot-spots, while low flows occur in cold subducting slabs. The global heat budget is dominated by mantle convection, radiogenic heat from the core and mantle, and cooling of the lithosphere away from spreading centers.

Explainer

You already know from studying Earth's interior structure that temperature increases with depth — the core is far hotter than the surface. The geothermal gradient quantifies this increase: it is the rate of temperature change with depth, typically expressed in degrees per kilometer. In stable continental crust, this gradient averages about 25–30 K/km, meaning that for every kilometer you descend into a mine or borehole, the temperature rises by roughly 25–30°C. But this average hides enormous variation. Near mid-ocean ridges, where hot mantle material rises close to the surface, the gradient can exceed 100 K/km. In old, cold continental shield regions, it may drop below 15 K/km.

The geothermal gradient alone tells you how fast temperature changes with depth, but to understand how much thermal energy is actually flowing through the crust, you need heat flow. Heat flow (q) relates the gradient to the rock's ability to conduct heat through Fourier's law: q = −k(dT/dz), where k is the thermal conductivity of the rock. A high gradient in a poor conductor might produce the same heat flow as a low gradient in an excellent conductor. Measuring heat flow requires both a temperature profile from a borehole and knowledge of the thermal conductivity of the rocks encountered — this is why heat flow measurements are more informative than temperature readings alone.

Earth's surface heat flow averages about 87 mW/m², but the pattern is far from uniform. The highest heat flows occur at mid-ocean ridges (often exceeding 200 mW/m²), where new lithosphere is being created and hot mantle material is close to the seafloor. As oceanic lithosphere ages and moves away from the ridge, it cools conductively and heat flow decreases — 50-million-year-old ocean floor typically shows about 50–60 mW/m². This cooling relationship is so predictable that it forms the basis of thermal models of oceanic lithosphere. On continents, heat flow varies with the concentration of radiogenic elements — uranium, thorium, and potassium — in crustal rocks. Granitic upper continental crust is enriched in these elements, so continental heat flow has a significant contribution from radioactive decay within the crust itself, unlike oceanic crust where most heat comes from below.

Understanding crustal heat flow matters for everything from predicting the depth at which rocks become ductile rather than brittle (which controls earthquake depth), to estimating the thermal maturity of sedimentary basins for petroleum exploration, to evaluating geothermal energy potential. The global heat budget — roughly 46 terawatts total — is powered by two main sources: primordial heat left over from Earth's formation and ongoing radiogenic heating. Mantle convection is the dominant mechanism for transporting this heat from the deep interior to the base of the lithosphere, where conduction takes over for the final journey to the surface. This thermal framework connects your knowledge of Earth's interior to the surface processes and tectonic features that the thermal regime ultimately controls.

Practice Questions 5 questions

Prerequisite Chain

Understanding ZeroThe Number ZeroCounting to FiveCounting to 10Counting to 20Counting a Set of Objects Up to 20Cardinality: The Last Number CountedMatching Numerals to QuantitiesSubitizing Small QuantitiesAddition Within 10Number Bonds to 10Addition Within 20Doubles and Near DoublesDoubles Facts Within 10Near Doubles Facts Within 20Mental Math Strategies for AdditionMental Math: Adding and Subtracting TensAddition Within 100Repeated Addition as MultiplicationMultiplication as Equal GroupsMultiplication: ArraysBasic Multiplication Facts (0s, 1s, 2s, 5s, 10s)Multiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Multiplication and Division Fact FamiliesRelationship Between Multiplication and DivisionDivision Facts as Inverse of MultiplicationRemainders and Quotients in DivisionDivision Word ProblemsMulti-Step Word ProblemsSolving Multi-Step Word ProblemsMultiplication Word ProblemsDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueIntegers and the Number LineComparing and Ordering IntegersAbsolute ValueAdding IntegersSubtracting IntegersMultiplying IntegersDividing IntegersUnit RatesProportionsPercent ConceptConverting Between Fractions, Decimals, and PercentsOperations with Rational NumbersTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesAngle Pairs: Complementary, Supplementary, and VerticalParallel Lines and TransversalsCorresponding AnglesAlternate Interior AnglesTriangle Angle Sum TheoremExterior Angle TheoremTriangle Inequality TheoremSimilar Triangles: AA SimilaritySimilar Triangles: SSS and SAS SimilarityProportions in Similar TrianglesRight Triangle Trigonometry IntroductionSine, Cosine, and Tangent RatiosTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIndefinite IntegralsBasic Integration RulesRiemann SumsDefinite Integral DefinitionDouble Integrals: Definition and SetupIterated Integrals and Fubini's TheoremDouble Integrals over Rectangular RegionsDouble Integrals over General RegionsApplications of Double Integrals: Area, Mass, and MomentsTriple Integrals in Cartesian CoordinatesTriple Integrals in Cylindrical and Spherical CoordinatesChange of Variables and the Jacobian DeterminantApplications of Triple Integrals: Volume and MassVector Fields and Their RepresentationsLine Integrals of Vector FieldsWork and CirculationLine Integrals of Scalar and Vector FunctionsFundamental Theorem for Line IntegralsConservative Vector FieldsConservative Vector Fields and Potential FunctionsCurl and Divergence of Vector FieldsCurl and DivergenceDivergence TheoremElectric Flux and Divergence TheoremGauss's Law: Integral Form and MeaningSolving Problems with Gauss's LawConductors in Electrostatic EquilibriumCapacitance and CapacitorsDielectricsDielectric Constant and Relative PermittivityElectric Field Inside Dielectric MaterialsDielectric Materials and PolarizationDielectric Susceptibility and PermittivityEnergy Density in Electric FieldsElectric Current and Current DensityElectrical Resistance and ResistivityOhm's Law and Circuit ElementsElectromotive Force (EMF) and BatteriesKirchhoff's Circuit Laws: Voltage and CurrentDC Circuit Network Analysis MethodsTransient Response in RC CircuitsRC CircuitsLC and RLC CircuitsAC Circuits: FundamentalsImpedance and ReactanceAC Power and ResonanceElectromagnetic WavesPostulates of Special RelativityTime DilationLength ContractionLorentz TransformationRelativistic Velocity AdditionRelativistic Momentum and EnergyMass-Energy Equivalence and E=mc²Photons as Particles with Energy and MomentumPlanck-Einstein Relation: Energy and FrequencyPhotoelectric EffectThe Photon: Light as QuantaCompton ScatteringWave-Particle Dualityde Broglie WavelengthThe Schrödinger EquationState Vectors and WavefunctionsQuantum SuperpositionQuantum EntanglementBell Theorem and Bell InequalitiesPostulates of Quantum MechanicsObservables and Quantum OperatorsCommutators and Commutation RelationsQuantum Angular MomentumQuantum Mechanical Treatment of HydrogenSolving the Schrödinger Equation for Hydrogen AtomQuantum NumbersElectron ConfigurationPeriodic TrendsCovalent BondingElectronegativity and Bond PolarityIonic BondingLewis StructuresVSEPR Theory and Molecular GeometryMolecular Geometry and Electron Pair GeometryMolecular Polarity and Dipole MomentsIntermolecular ForcesStates of Matter and Phase Changes: Melting, Boiling, and SublimationGas Laws and the Ideal Gas EquationGas Stoichiometry and Volume-Volume CalculationsThermochemistry and EnthalpyHeat Capacity and CalorimetryEntropy and Molecular DisorderSpontaneity and ΔGEntropy and Gibbs Free EnergyChemical EquilibriumStatistical Mechanics: Ensembles and the Boltzmann DistributionPartition Function: Definition and PropertiesThe Canonical Partition Function and Thermodynamic DerivationFree Energy and Thermodynamic Relations from Partition FunctionsLegendre Transformations and Thermodynamic PotentialsChemical Potential and Partial Molar PropertiesPhase Equilibrium and Coexistence ConditionsClausius-Clapeyron EquationPhase Diagrams and Phase BoundariesIgneous RocksMetamorphic RocksThe Rock CyclePlate TectonicsTectonic Plate BoundariesGeologic Structures: Folds and FaultsEarthquakes and SeismologySeismic WavesEarth's Interior StructureGeothermal Gradient and Crustal Heat Flow

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