抄録
The boundary element method (BEM), successfully used for the solution of fluid flow problems in porous media, has shown its flexibility and computational efficiency superior to domain methods, such as finite differences or finite elements. Especially in discretization-sensitive problems, since the BEM does not require any discretization in the flow domain, its superiority over others becomes much more attractive.
Steady-state flow problem including sink-source can be described by Poisson's equation and boundary conditions. To this day, this problem has been investigated by using the BEM only with vertical wells as sinks and/or sources. These wells are represented as points in a two-dimensional (2D) domain.
This paper presents an extension of the BEM applicability to horizontal or hydraulically fractured wells which can be represented as line-sources in a 2D domain, if we postulate 2D flow. Through mathematical manipulations starting from the second form of Green's theorem, the BEM treatment of line-sources yielded a line-integral of Green's function. With the developed BEM program, solved were streamline and displacing front tracking problems. For both point and line sources, the BEM was found to be an excellent means to the end of fluid flow computations.
