General streamline modelling technique for homogeneous and heterogeneous porous media, with application to steamflood prediction
Thesis/Dissertation
·
OSTI ID:6227626
A general streamline/streamtube simulation method applicable to homogeneous, anisotropic, as well as piecewise homogeneous porous media is described with its application to steamflood recovery prediction. The boundaries of the media can be of any arbitrary but smooth shape with boundary conditions that can be any of or combination of either Neuman, Dirichlet, or mixed boundary conditions. The (Laplace's) equation describing the distribution of potential was solved by the Boundary Element Method (BEM) also called the Boundary Integral Element Method (BIEM). This method utilizes the superposition of singular solutions whose distributions are determined by the boundary conditions of the problem. Steamflood prediction was made assuming each streamtube existed in isolation. Thus, there was no heat exchange between streamtubes. For homogeneous reservoirs, recovery was calculated using the Marx and Langenheim equations. For the piecewise homogeneous reservoir, new equations were derived for the location and rate of advance of the steam front while it is in the second permeability region of a streamtube containing two permeability regions. Comparisions of the potentials obtained by the BEM and those obtained analytically for simple domains confirm the validity of the Boundary Element Method. This method provides a general technique to properly model different reservoirs with arbitrary boundaries and boundary conditions, particularly, piecewise homogeneous reservoirs which had not been possible using the method of images.
- OSTI ID:
- 6227626
- Country of Publication:
- United States
- Language:
- English
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