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Keywords: matrix
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Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Symposium on Numerical Simulation of Reservoir Performance, February 19–20, 1976
Paper Number: SPE-5729-MS
... to achieve a fast convergence rate. Tests have shown that the method is highly competitive compared with other iterative techniques. The rate of convergence is insensitive to the use of iteration parameters, non-symmetry of the matrix, and ratios of off-diagonal bands in symmetrical matrices. 1...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Symposium on Numerical Simulation of Reservoir Performance, February 19–20, 1976
Paper Number: SPE-5730-MS
... problem approximation semi-direct iterative method diagonal SIP reservoir simulation triangular matrix procedure lu matrix sip matrix Upstream Oil & Gas equation convergence iterative method matrix convergence rate SOCIETY OF PETroLEUM ENGINEERS OF AIME PAPER NUMBER s p E 5 7 3 0...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Symposium on Numerical Simulation of Reservoir Performance, February 19–20, 1976
Paper Number: SPE-5725-MS
... are derived using matrix notation. Time integration is done by a simple finite difference scheme, and the resulting non-linear equations are solved by a chord slope technique. Some simple means for stabilizing the solution are pointed out and incorporated in the method. Numerical results are presented...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Symposium on Numerical Simulation of Reservoir Performance, February 19–20, 1976
Paper Number: SPE-5728-MS
... American Institute of Mining, Metallurgical, and Petroleum Engineers, Inc. Abstract A relaxation method called Slice Successive Overrelaxation has been developed for the solution of matrix problems occurring in three-dimensional reservoir simulation. The SSOR technique represents...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the SPE Symposium on Numerical Simulation of Reservoir Performance, January 11–12, 1973
Paper Number: SPE-4290-MS
... be characterized in terms of the dimensions of a representative elemental area associated with that fracture. By changing the permeability of the fracture relate to the matrix, steady state solutions demonstrate how the effective permeability of the fractured system depends on both fracture conductivity...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the Numerical Simulation Symposium, April 22–23, 1968
Paper Number: SPE-2021-MS
... flow simulation equation convergence coefficient equation grid matrix SOCIETY OF PETROLEUM ENGINEERS OF AIME 6200 North Central Expressway Dallas, Texas 75206 PAPER NUMBER SP E 2021 THIS IS A PREPRINT SUBJECT TO CORRECTION Solution of the Immiscible Fluid Flow Simulation Equations By E...
Proceedings Papers
Publisher: Society of Petroleum Engineers (SPE)
Paper presented at the Numerical Simulation Symposium, April 22–23, 1968
Paper Number: SPE-2030-MS
..., ..........................................(1) The ADI (or Peaceman-Rachford) procedure is one of the methods frequently used to solve the associated difference equations. In our mathematical discussion we will write these difference equations approximating the above differential equation In matrix notation as Au = q where u is a vector...