Authors: Xijun Ke; Jiaqi Li; Dali Guo; Shuanghan Luo; Shouchang Xie
Addresses: School of Computer Science, Civil Aviation Flight University of China, Deyang, Sichuan, 618000, China ' Engineering Technology Research Institute, Xinjiang Oilfield Company, PetroChina, Karamay, Xinjiang 834000, China ' School of Sciences, Southwest Petroleum University, Chengdu, Sichuan, 610500, China ' CPC Committee Office, Xinjiang Oilfield Company, PetroChina, Karamay, Xinjiang 834000, China ' Development Company, Xinjiang Oilfield Company, PetroChina, Karamay, Xinjiang 834000, China
Abstract: This paper constructed a coupled mathematical model with two flow directions (matrix inside fracture network) to analyse the rate transient behaviours in oil reservoirs. Firstly, we formulate the 1-D flow solutions for each region, and then couple them by imposing flux and pressure continuity across the boundaries between regions. Secondly, we solve the model with the linear flow model and using Laplace transform and Stehfest algorithm comprehensively. Thirdly, the corresponding algorithm is designed and the code is written for calculation. Finally, the model solution is verified with one flow direction model thoroughly.
Keywords: production simulation; coupled mathematical model; Laplace transform; Stehfest algorithm; two flow directions model.
International Journal of Computing Science and Mathematics, 2022 Vol.15 No.1, pp.85 - 98
Received: 04 Feb 2019
Accepted: 05 Aug 2019
Published online: 11 Apr 2022 *