Analytical Solutions for the Distribution of Pressure in Permeable Formations with Ellipsoidal Inclusions
Abstract
Analytical solutions are developed for the distribution of pressure around a single ellipsoidal inclusion, submerged in a homogeneous matrix of infinite dimensions. The permeability tensors of the inclusion and the surrounding medium are allowed to be arbitrarily oriented relative to the principal axes of the ellipsoid. For the case in which the permeability tensors are aligned with the axes of the ellipsoid, analytical solutions are also developed for composite ellipsoidal inclusions.