Solution of pressure diffusion in radially composite reservoirs View Full Text


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Article Info

DATE

1995-06

AUTHORS

Fikri J. Kuchuk, Tarek M. Habashy

ABSTRACT

This paper presents a new general method for solving the pressure-diffusion equation in cylindrically radial composite reservoirs, where the rock and fluid properties may change radially as a function ofr. Composite systems, such as formations with wellbore filtrate invasion and reservoirs with peripheral water encroachment, can be encountered as a result of drilling, secondary oil recovery, and water influx. The new solution method utilizes the reflection and transmission concept of electromagnetics to solve fluid flow problems in three-dimensional cylindrically radial reservoirs, where heterogeneity is in only one direction. The Green's function for a point source in a three-dimensional radially composite system is developed by using the reflection and transmission method. The method as well as the point source solution are sufficiently general that they may be applied to similar fluid flow and well testing problems involving single-phase flow. The method is applied to three illustrative fluid flow problems. The first example is for a fully penetrated vertical well in a one-dimensionaln zone composite reservoir. For this example, the solutions one- and two-zone are well known. These two solutions therefore provide a test for the solution method. The second example presents a solution for the pressure distribution in ann zone radially composite reservoir due to an infinite-conductivity (permeability) vertical fracture in ther direction. For this vertical fracture case, the solutions given in the literature for a single-zone radially bounded reservoir and for a two-zone radially unbounded reservoir are incorrect. The third example provides a new solution for a partially penetrated (limited entry) well in a radially composite reservoir. The solutions for all three examples are presented in the Laplace transform domain; therefore the wellbore storage and skin effects can easily be included. More... »

PAGES

199-232

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf00617530

DOI

http://dx.doi.org/10.1007/bf00617530

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1034992736


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