Mechanics of Poro-Elastic Media: A Review with Emphasis on
stitutive equations for the total stress tensor and the pore pressure can be determined from a potential derived from the Clausius–Duhem inequality. A particular value of the linear theory
A Brief Introduction to Poroelasticity and Simulation of
of geothermal energy or hydrocarbon production, fracturing is something that must actively be avoided in other contexts. In the emerging engineering discipline of geological CO 2 storage,
(PDF) Mechanics of Poro-Elastic Media: A Review with
The pressure of a compressible fluid is a thermodynamic state variable, i.e., it is determined. by a constitutive equation (equation of state). In linear (isothermal) poro-elasticity, we assume...
[1607.04274] An introduction to linear poroelasticity
It does not require the ad-hoc definition of poroelastic constants and that of an elastic energy potential. in terms of stresses, and the definition of strain), together with the principle of
(PDF) Finite difference modeling of Biot''s poroelastic equations
Finite difference modeling of Biot''s poroelastic equations at seismic frequencies constant a, and the fluid storage coefficient M. For any porous material, these constants are related to the
BME 332: Constitutive Equations: Poroelasticity/Biphasic
Once we have the governing equations, we can write the constitutive laws for a poroelastic material. For a compressible, anisotropic linear poroelastic material is: For the constitutive
Numerical study of multiple hydraulic fractures propagation in
This paper proposes a novel phase-filed model for simulating hydraulic fracturing in poroelastic media under complex stress conditions. The main theoretical contribution lies in
(PDF) Mechanics of Poro-Elastic Media: A Review with
We review fundamental aspects of linear poro-elasticity. In contrast to most available textbooks and review articles, our treatment of poro-elastic media is based on the continuum Mixture Theory.
A 4-Dimensional Formulation of Geothermal Poroelasticity
The basic equations of state in a saturated porous rock are the internal energy and the specific enthalpy for the fluid phase. For the skeleton, the appropriate function is the free enthalpy or