Formation compaction associated with thermal cooling in geothermal reservoirs

Concepts from the Theory of Interacting Continua are employed to develop constitutive relations for thermoelastic fluid-saturated porous media; these constitutive relations are shown to be equivalent to those of Biot in isothermal limit. For uniaxial compaction, the constitutive theory is simplified to give formation compaction as a function of changes in fluid pressure and temperature. The formation compaction due to thermal cooling is equal to 3hη(1 + v)/3(1 − v)]ΔT.