On the Derivation of Closed-Form Expressions for Displacements, Strains, and Stresses Inside Poroelastic Reservoirs

We critically review the derivation of closed-form analytical expressions for elastic displacements, strains, and stresses inside a subsurface reservoir undergoing pore pressure changes using inclusion theory. Although developed decades ago, inclusion theory has been used recently by various authors to obtain fast estimates of depletion...

Insights From Closed-Form Expressions for Injection- and Production-Induced Stresses in Displaced Faults

We consider fluid-induced seismicity and present closed-form expressions for the elastic displacements, strains, and stresses resulting from injection into or production from a reservoir with displaced faults. We apply classic inclusion theory to two-dimensional finite-width and infinite-width reservoir models. First, we simplify the fault model...