Inversion of Geomechanical Model Parameters Based on KL Expansion and Its Application

doi:10.11885/j.issn.1674-5086.2020.03.02.01

Abstract

Abstract: The distribution of in-situ stresses, as well as geomechanical properties, is critical for wellbore stability analysis, hydraulic fracturing, and sand control in the petroleum industry. In this paper, we propose a data assimilation procedure for matching the in-situ stresses with the hard data (1 D measured or interpreted in-situ stresses) by sequentially adjusting the fields of geomechanical properties and the boundary conditions with optimization algorithms. The distribution of geomechanical properties are generated with the conditional Karhunen—Loève expansion (KL—E), which can reduce the number of unknowns from element-based geomechanical properties to a small set of random variables that significantly save the computing time and accelerate the convergence of the optimization algorithms. The applicability of the proposed procedure has been systematically tested by several synthetic cases and a field case study of a shale gas reservoir in Sichuan Basin. Not only the improvement of stress matching but also a more accurate description of the distribution of geomechanical properties at unmeasured locations is observed. In addition, compared to the inversion of the geomechanical properties, the inversion of boundary conditions is much faster.

Key words: geomechanical modeling, Karhunen-Loève expansion, geomechanical property distribution, data assimilation, shale gas

CLC Number:

TE142

QIN Jianhua, YANG Kun, DING Yi, ZHANG Boning, TANG Huiying. Inversion of Geomechanical Model Parameters Based on KL Expansion and Its Application[J]. Journal of Southwest Petroleum University(Science & Technology Edition), 2022, 44(2): 65-78.

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