A Novel Regularization Model for Inversion of the Fracture Geometric Parameters in Hydraulic-Fractured Shale Gas Wells

Hongxi Li, Li Zhang, Lu Li, Bin Zhou (), Yunjun Zhang and Yu Fu
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Hongxi Li: Research Insitute of Geological Exploration and Development, CNPC Chuanqing Drilling Engineering Co., Ltd., Chengdu 610066, China
Li Zhang: Research Insitute of Geological Exploration and Development, CNPC Chuanqing Drilling Engineering Co., Ltd., Chengdu 610066, China
Lu Li: Research Insitute of Geological Exploration and Development, CNPC Chuanqing Drilling Engineering Co., Ltd., Chengdu 610066, China
Bin Zhou: School of Sciences, Southwest Petroleum University, Chengdu 610500, China
Yunjun Zhang: School of Physical Education, Southwest Petroleum University, Chengdu 610500, China
Yu Fu: School of Oil and Natural Gas Engineering, Southwest Petroleum University, Chengdu 610500, China

Energies, 2025, vol. 18, issue 7, 1-17

Abstract: The reservoir stimulation technology based on horizontal-well hydraulic fracturing has become one of the key means for efficient development of shale gas reservoir. Accurately describing the geometric shape and statistical characteristics of fractures is an indispensable key point. In this paper, a novel regularization model is proposed to inverse the fracture parameters with joint constraints of production data and microseismic data. Fractal theory is firstly introduced to model the fracture network and the geometric shape can be controlled by several parameters. Fractures are adaptive at the height in same rank and then a novel inversion model is presented based on regularization theory. An alternative iterative algorithm is presented to approximate the optimal solution. Relative errors of 4.94% and 6.78% are found with the results of two synthetic tests. The mean square relative error of the history match is about 7.73% in the test on real data. The numerical experiments show the accuracy and efficiency of the proposed model and algorithm.

Keywords: reservoir stimulation technology; hydraulic fracturing; shale gas; geometric parameters; fractal theory; regularization (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: 2025
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