Analytical solutions reveal stress distribution in a cuboidal reservoir under mechanical load, suggesting permeability significantly influences behavior.
Modelling of the poroelastic state of a reservoir in the form of a cuboid by the Biot’s theory using the apparatus of boundary value problems of mathematical physics, is proposed. The model assumes the permeability of certain faces of the cuboid under effect of an external mechanical load on one of the faces. An accurate analytical solution of the problem is obtained, which allows the numerical analysis of distribution of the stress and pressure, to study the influence of fluid flows and mechanical loading, which is important for solving many engineering problems. A comprehensive numerical study iss carried out, which includes a study of the influence of various loads, geometric dimensions of the cuboid, permeability states and poroelastic properties of the material, providing a critical `understanding of the behavior of this poroelastic system under different loading modes. The significant influence of permeability on the stress state of its surface was investigated. The proposed approach can be extended to estimate the stress and pore pressure of a multilayer poroelastic body under uncoupled thermoporoelasticity conditions.
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Vaysfeld et al. (2025) studied this question.
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