Permeability Tensor Theory

摘要

Assuming that a defined fractured rock mass volume can be considered a homogeneous anisotropic porous medium, it obeys Darcy s Law, which states that the apparent seepage velocity v_i is related to the gradient of total hydraulic head by a coefficient k_(ij), known as the permeability tensor (Oda, 1985): v_i velence -g/v k_(ij) partial deriv PHI/partial deriv_(X_i) velence g/ v k_(ij) J_i, (A.1) where g is the gravitational acceleration, v is the kinematic viscosity, and J_i velence -partial deriv PHI/partial deriv _(X_i). As noted by Oda (1985), it is not guaranteed that every rock mass can be simulated by an equivalent porous medium with a symmetrical permeability tensor. However, numerical studies by Long et al. (1982) and Oda (1985) have indicated that rock masses containing a significant number of discontinuities do in fact approach such behavior.