ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

# 多孔介质期刊

DOI: 10.1615/JPorMedia.v12.i4.80
pages 379-386

## Mathematical Modeling to Estimate the Critical Oil Flow Rate for Sand Production Onset in the Mansouri Oil Field with a Stabilized Finite Element Method

A. Kohandel Shirazi
Department of Chemical and Petroleum Engineering, Shiraz University, Shiraz, Iran
Dariush Mowla
Department of Chemical Engineering, School of Chemical and Petroleum Engineering, Shiraz University, Shiraz 71345
Department of Chemical and Petroleum Engineering, Shiraz University, Shiraz, Iran

### ABSTRACT

In this article, a mathematical model is presented for the calculation of a critical oil production rate to prevent sand production in sandstone reservoirs. For this propose, the reservoir is modeled based on a fully coupled reservoir-geomechanic equation with the elastic behavior assumption for reservoir formation. The proposed model will result in a set of equations that extend into two dimensions. A stabilized finite element method is used to solve the proposed model, resulting in the pressure, displacement, normal, and shear stress profiles around the well in the reservoir. The Mohr-Coulomb criterion is applied to analyze the failure phenomenon and critical oil flow rate estimation. The model is applied to the Mansouri oil field in Ahvaz using the real available field data. The results are in good agreement with the operating field data. Moreover, the effect of different parameters, such as permeability and cohesive strength, on the failure function was investigated.

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