--> Abstract: A Newton-Raphson Iterative Scheme for Integration of Multiphase Production Data into Reservoir Model, by Z. Wu; #90911 (2000)
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A Newton-Raphson Iterative Scheme for Integration of Multiphase Production Previous HitDataNext Hit into Reservoir Model

WU, ZHAN, Texas A&M U.

The purpose of this paper is to present a new iterative inversion algorithm for integrating production Previous HitdataNext Hit into geostatistical models. The significant feature of the proposed algorithm is that the computation of the sensitivity matrix for production Previous HitdataNext Hit with respect to cell parameters can be avoided. This leads to dramatic reduction of computational cost. Generally, the computational cost of the gradient simulation method, adjoint method and Carter's method for generating sensitivity coefficient are dependent on the number of grid block, observed Previous HitdataNext Hit and wells, respectively. In this paper, instead of generating the sensitivity matrix required for minimizing the least square objective function, our approach relies on solving the inversion equations which are derived based on a necessary condition for a minimum. In comparison with other optimization methods, the proposed Previous HititerationNext Hit scheme converges fast since the inversion equations can be solved through the Newton-Raphson method. At each Previous HititerationNext Hit, the computational requirement of our approach is to solve the finite difference equations and the linear adjoint equations once, the reservoir parameters can be updated. Moreover, based on the Bayes theorem, geostatistical Previous HitdataNext Hit can be honored simultaneously while the production Previous HitdataNext Hit are matched.The proposed method is demonstrated for the inversion of permeability and porosity fields in a two-dimensional two-phase reservoir with nine production wells and four water injectors. Two numerical examples show that our new approach converges quickly for integrating the water oil ratio Previous HitdataTop into geostatistical models.

 

 

AAPG Search and Discovery Article #90911©2000 AAPG Pacific Section and Western Region Society of Petroleum Engineers, Long Beach, California