An application of residual relaxation to mathematical simulation of petroleum reservoirs

<p>"Stability and convergence have long been primary concerns in the application of numerical techniques to the simulation of petroleum reservoir performance. An iterative method based on sequentially reducing the residual to zero at each grid point has been developed. It has been shown analytically that this residual relaxation method is stable, convergent, and consistent.</p> <p>A three-phase areal model was developed to simulate a hypothetical homogeneous petroleum reservoir, and various computational methods were tested with this model. The residual relaxation method developed in this study (RELAX) was found to converge as rapidly as SIP, and much faster than either LSOR or LSOR+2DC. The RELAX+ADIP combination was found to converge more rapidly than SIP. No iteration parameter is needed for either RELAX or RELAX+ADIP, and both methods are easily programmed.</p> <p>The RELAX+ADIP combination was found to be the best method tested for solving the pressure equation in the simulation model"--Abstract, page ii.</p>

Name thesis:degree_name

Ph. D. in Petroleum Engineering

Grantor

University of Missouri--Rolla

Year dc:date.available

2016

Author dc:creator

• Achmad, Grufron

• Petroleum Engineering

Repository record dc:identifier

https://scholarsmine.mst.edu/doctoral_dissertations/234

OAI identifier oai:identifier

oai:scholarsmine.mst.edu:doctoral_dissertations-1236