On the equilibrium equations of poro-elasticity

Conference · Tue Dec 31 04:00:00 EST 1996

OSTI ID:505172

Driessel, K R ^[1]

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1. Iowa State Univ., Ames, IA (United States)

In this report, I derive the equations that govern the equilibrium (static) behavior of a porous material. I assume that on a microscopic scale (e.g., {open_quotes}grain size{close_quotes} in the case of a porous rock) the material consists of an elastic solid and fluid-filled pores. I {open_quotes}average{close_quotes} the equations governing the microscopic behavior to obtain equations on a larger, {open_quotes}macroscopic{close_quotes} scale (e.g., size of a core sample in the case of a porous rock). This averaging procedure is called {open_quotes}homogenization.{close_quotes} If the porous material is homogenous and isotropic on the macroscopic scale then three parameters appear in the macroscopic stress-strain relations; two of these parameters are analogous to the usual Lame parameters of elasticity; the third parameter is associated with the pore pressure. I also explicitly solve the macroscopic equations for a cylinder. This solution can be used to experimentally determine the parameters which govern the behavior of the porous material.

• OSTI ID: 505172
• Report Number(s): CONF-9207256--Vol.79
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
54 ENVIRONMENTAL SCIENCES
ELASTICITY
FLUID FLOW
MATERIALS TESTING
MATHEMATICAL MODELS
POROSITY
POROUS MATERIALS