The Similar Structure of Solution in the Spherical Shaped Matrix of Dual-Porosity Reservoir Seepage Model

Abstract

Aiming at spherical dual-porosity reservoir, an unsteady seepage model that based on the three different kinds of outer boundary (infinite, constant value and closed) conditions was established in this paper. Using the Laplace transform method, similar structure of dimensionless bottom pressure solution in the Laplace space and similar nuclear function were obtained. This is not only providing us a new road to further explore the inherent law of the solutions and compile corresponding analysis software, but also has a broad application prospects.

Similar Structure of Solution for Effective Wellbore Radius Model in the Spherical-Shaped Matrix of Dual-Porosity Reservoir

“…Because of ( ) 0 zf z − ≤ , with the uniqueness theorem of solutions for the boundary value problem of differential equation [8][9][10], the determinant ∆ of undetermined coefficients C , D is not equal to zero. CombineEq.…”

“…Li, F.R. Wang et al established an ideal seepage model obtained the similar structure of solution in the spherical shaped matrix of dual-porosity reservoir [8].…”

New Method of Solving the Seepage Model for the Multilayer Composite Reservoir with the Double Porosity

“…In 2011, considering the influence of well bore storage and skin effect, Jingjing Guo etc [6] built model without cross-flow for the multilayer reservoir with the double porosity, analytic solution of bottom hole pressure and production of the layer were obtained in the Laplace space by Laplace transform, and according to method of numerical inverse, the changeable curve of production of the layer was drawn. In 2013, Quanyong Li etc [7] solved exact solution of reservoir pressure and bottom hole pressure by Laplace transform for multilayer reservoir with the double porosity, and unified expression of solution was obtained for different outer boundary conditions. However, so far no one studies the seepage model for the multilayer composite reservoir with the double porosity.…”