Multidimensional transient linear

@OTC 22578-PP A General Analytical Solution for the Multidimensional Transient Linear Hydraulic Diffusivity Equation in Heterogeneous and Anisotropic Porous Media
Paulo Couto, Petroleum Engineering - POLI/COPPE/UFRJ, Richard D. R. Moreira and Marcelo D. Marsili, Vale Óleo e Gás.

Copyright 2011, Offshore Technology Conference This paper was prepared for presentation at the Offshore Technology Conference Brasil held in Rio de Janeiro, Brazil, 4–6 October 2011. This paper was selected for presentation by an OTC program committee following review of information contained in an abstract submitted by the author(s). Contents of the paper have not been reviewed by the Offshore Technology Conference and are subject to correction by the author(s). The material does not necessar ily reflect any position of the Offshore Technology Conference, its officers, or members. Electronic reproduction, distribution, or storage of any part of this paper without the written consent of the Offshore Technology Conference is prohi bited. Permission to reproduce in print is restricted to an abstract of not more than 300 words; illustrations may not be copied. T he abstract must contain conspicuous acknowledgment of OTC copyright.

Abstract A general analytical solution for the multidimensional transient linear hydraulic diffusivity equation is presented and its application is discussed in this work. The analytical solution is valid for heterogeneous and anisotropic porous media in any orthogonal coordinate system within a regular boundary domain. A source term, dependent on position and time, was included in the partial differential equation to represent production and/or injection wells. A general boundary condition is considered to account for a constant pressure boundary, a no-flow boundary (symmetry or impermeable boundary) or any prescribed flow boundary. The Generalized Integral Transform Technique (GITT) was used to obtain the analytical solution of the proposed problem. This