Interacting double poroelastic inclusions

• Using Equivalent Inclusion Method for poroelastic inclusions.
• Considering interaction between poroelastic inclusions.
• Provided solution is not restricted to any specific configuration.

In this paper, we provide Eshelby solution for applied stress and strain distribution around double inhomogeneous poroelastic inclusions due to pore pressure changes in inclusions. To address the problem, we modified an approximate analytical approach (Moschovidis and Mura, 1975) for poroelastic inclusions. Inhomogeneous Inclusions are finite sub-volumes of a medium, which are made of different materials and may experience different strain status at the same time. This method could have a wide range of applications from rock mechanics problems to tissue mechanics. An application of this model in analyzing earth stress changes around hydrocarbon reservoirs due to fluid withdrawal/injection is discussed at the end of the paper.