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Original Paper | Open Access

A semi-analytical model for coupled flow in stress-sensitive multi-scale shale reservoirs with fractal characteristics

Qian Zhanga,b, Wen-Dong Wanga,b( ), Yu-Liang Sua,b, Wei Chenc, Zheng-Dong Leid, Lei Lia,b, Yong-Mao Haoa,b
Key Laboratory of Unconventional Oil & Gas Development (China University of Petroleum (East China)), Ministry of Education, Qingdao, 266580, Shandong, China
School of Petroleum Engineering, China University of Petroleum (East China), Qingdao, 266580, Shandong, China
Shale Oil Development Branch, Changqing Oilfield Company, PetroChina, Qingyang, 745708, Gansu, China
PetroChina Research Institute of Petroleum Exploration & Development, Beijing, 100083, China

Edited by Yan-Hua Sun

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Abstract

A large number of nanopores and complex fracture structures in shale reservoirs results in multi-scale flow of oil. With the development of shale oil reservoirs, the permeability of multi-scale media undergoes changes due to stress sensitivity, which plays a crucial role in controlling pressure propagation and oil flow. This paper proposes a multi-scale coupled flow mathematical model of matrix nanopores, induced fractures, and hydraulic fractures. In this model, the micro-scale effects of shale oil flow in fractal nanopores, fractal induced fracture network, and stress sensitivity of multi-scale media are considered. We solved the model iteratively using Pedrosa transform, semi-analytic Segmented Bessel function, Laplace transform. The results of this model exhibit good agreement with the numerical solution and field production data, confirming the high accuracy of the model. As well, the influence of stress sensitivity on permeability, pressure and production is analyzed. It is shown that the permeability and production decrease significantly when induced fractures are weakly supported. Closed induced fractures can inhibit interporosity flow in the stimulated reservoir volume (SRV). It has been shown in sensitivity analysis that hydraulic fractures are beneficial to early production, and induced fractures in SRV are beneficial to middle production. The model can characterize multi-scale flow characteristics of shale oil, providing theoretical guidance for rapid productivity evaluation.

Keywords

Multi-scale coupled flowStress sensitivityShale oilMicro-scale effectFractal theory

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Petroleum Science
Volume 21 Issue 1,
February 2024
Pages 327-342
DOI: 10.1016/j.petsci.2023.10.003
Cite this article:
Zhang Q, Wang W-D, Su Y-L, et al. A semi-analytical model for coupled flow in stress-sensitive multi-scale shale reservoirs with fractal characteristics. Petroleum Science, 2024, 21(1): 327-342. https://doi.org/10.1016/j.petsci.2023.10.003

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Received: 30 May 2023
Revised: 26 September 2023
Accepted: 01 October 2023
Published: 05 October 2023
© 2023 The Authors.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
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