Geothermal Gradient

on . Posted in Drilling Engineering

Geothermal gradient is the rate at which the Earth's temperature increases with depth below its surface.  On average, the temperature increases by about 25°C for every kilometer of depth.

Key Points about Geothermal Gradient

  • Heat Sources
    • Radioactive Decay  -  The primary source of geothermal heat is the decay of radioactive isotopes in the Earth's mantle and crust.
    • Residual Heat  -  Heat remaining from the Earth's formation.
    • Mantle Convection  -  Heat transferred from the deeper mantle.
  • Variation with Depth
    • Near the surface, the geothermal gradient is relatively high because heat from deeper within the Earth has to pass through the insulating crust.
    • At greater depths, especially in the mantle, the gradient tends to be lower because the material is more conductive and convective heat transfer becomes more significant.
  • Geographical Variation
    • Stable Cratons  -  Regions with old, stable crust typically have lower geothermal gradients.
    • Tectonically Active Areas  -  Regions with volcanic activity or active tectonics often have higher gradients due to the proximity to magma and increased crustal thinning.
  • Applications
    • Geothermal Energy  -  Understanding where heat from the Earth is used to generate electricity or provide direct heating.
    • Oil and Gas Exploration  -  The gradient affects the thermal maturity of organic materials, influencing hydrocarbon formation and the location of oil and gas reserves.
  • Measurement  -  The geothermal gradient is measured by drilling boreholes and recording temperature at various depths.  These measurements are then used to estimate the temperature increase with depth.

 

Geothermal Gradient formula

\( g_g \;=\;  (T_{bh} - T_s \;/\; D_{bh} ) \; 100 \)     (Geothermal Gradient)

\( T_{bh} \;=\;  (g_g \; D_{bh} \;/\; 100 )  + T_s   \)

\( T_s \;=\;  T_{bh} -  (g_g \; D_{bh} \;/\; 100 ) \)

\( D_{bh} \;=\;  100 \; (T_{bh} - T_s ) \;/\; g_g \)

Symbol English Metric
\( g_g \) = geothermal gradient \(F \;/\; 100\;ft\) \(C \;/\; 100\;m\) 
\( T_{bh} \) (Greek symbol sigma) = maximum recorded temperature \(F\) \(C\) 
\( T_s \) = temperature near surface \(F\) \(C\)
\( D_{bh} \) = total depth of logged borehole \(ft\) \(m\)

 

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Tags: Drilling