RESEARCH ARTICLE


Productivity Model of Multi-Layer Reservoir with Blocks



Pang Jin1, 2, *, Lei Guanglun1, Liu Hong2, Zhang Yalong2, Yue Yixing2
1 Department of Petroleum Engineering, China University of Petroleum, Qingdao, Shandong, 266580, P.R. China
2 Department of Petroleum Engineering, Chongqing University of Science and Technology, Chongqing, 401331, P.R. China


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© Jin et al.

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Department of Petroleum Engineering, Chongqing University of Science and Technology, Chongqing, 401331, P.R. China. Tel: +8615923207146; E-mail: crab1981@126.com


Abstract

Based on the assumption of multi-layer reservoir with complex blocks and combined with the wellbore flow equations, we established a percolation mathematical model for the coupled multi-layer reservoir with blocks and wellbore, and then we utilized the Laplace change, Stehfest inversion and conjugate gradient method, . to solve the model. Then, we took the multi-layer reservoir with complex blocks as an example to simplify the shape of the reservoir and calculate the distribution of pressure and production of the horizontal well when it passes through two sand bodies. Finally, we calculated the dimensionless pressure derivative and productivity of four different types of oil wells (or have different relative positions). This model has provided a theoretical basis to select the reasonable well types for the multi-layer reservoir with complex blocks.

Keywords: Fault block, horizontal well, mathematical model, multi-layer, productivity, well type..