Affiliations: [a] School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, P.R. China | [b] The Department of Electrical and Computer Engineering, The University of Auckland, Auckland, New Zealand | [c] College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, Chongqing, P.R. China
Correspondence:
[*]
Corresponding author. Duo Zhang, School of Mathematical Sciences, University of Electronic Science and
Technology of China, Chengdu, Sichuan, 611731, P.R. China. E-mail: duozhang92@std.uestc.edu.cn.
Abstract: This paper focuses on establishing the trilinear fuzzy seepage model with multiple fuzzy parameters for shale gas reservoirs. Different from the conventional seepage models of shale gas reservoirs, the multiple fuzzy parameters seepage model uses fuzzy numbers to describe some parameters with uncertainty. Firstly, the multiple fuzzy parameters seepage model is constructed based on fuzzy concepts. The fuzzy structure element method and the centroid method are used to solve the fuzzy seepage model and defuzzifier, respectively. Secondly, the advantages of the development fuzzy model over the conventional seepage model are discussed and illustrated through numerical examples and simulations. Finally, to further study the seepage laws inside shale gas reservoirs, this paper explores the sensitivity of relevant main control parameters to gas production based on the development model.
