Optimization Algorithm of Effective Stress Coefficient for Permeability

Xiaolong Zhang, Jianjun Liu and Jiecheng Song
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Xiaolong Zhang: School of Geoscience and Technology, Southwest Petroleum University, Chengdu 610500, China
Jianjun Liu: School of Geoscience and Technology, Southwest Petroleum University, Chengdu 610500, China
Jiecheng Song: School of Geoscience and Technology, Southwest Petroleum University, Chengdu 610500, China

Energies, 2021, vol. 14, issue 24, 1-16

Abstract: The effective stress coefficient for permeability is a significant index for characterizing the variation in permeability with effective stress. The realization of its accuracy is essential for studying the stress sensitivity of oil and gas reservoirs. The determination of the effective stress coefficient for permeability can be mainly evaluated using the cross-plotting or response surface method. Both methods preprocess experimental data and preset a specific function relation, resulting in deviation in the calculation results. To improve the calculation accuracy of the effective stress coefficient for permeability, a 3D surface fitting calculation method was proposed according to the linear effective stress law and continuity hypothesis. The statistical parameters of the aforementioned three methods were compared, and the results showed that the three-dimensional (3D) surface fitting method had the advantages of a high correlation coefficient, low root mean square error, and low residual error. The principal of using the 3D surface fitting method to calculate the effective stress coefficient of permeability was to evaluate the influence of two independent variables on a dependent variable by means of a 3D nonlinear regression. Therefore, the method could be applied to studying the relationship between other physical properties and effective stress.

Keywords: rock permeability; effective stress coefficient; surface fitting; sandstone (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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