Mathematical Model of Shale Oil Seepage at Micro-Nano Pore Scale

Linkai Li (), Sheng Wang, Weijiang Jia, Jun Luo, Zhan Meng, Jingjing Gou, Hang Zhou, Deyan Zhong, Wenxin Xiu and Xinlin Bai
Additional contact information
Linkai Li: State Key Laboratory of Shale Oil and Gas Enrichment Mechanisms and Effective Development, Beijing 100083, China
Sheng Wang: No. 4 Gas Production Plant, Changqing Oilfield Company, PetroChina, Xi’an 710021, China
Weijiang Jia: Shengli Directional Drilling Well Company, Sinopec, Dongying 257000, China
Jun Luo: Petroleum Engineering School, Southwest Petroleum University, Chengdu 610500, China
Zhan Meng: Petroleum Engineering School, Southwest Petroleum University, Chengdu 610500, China
Jingjing Gou: Petroleum Engineering School, Southwest Petroleum University, Chengdu 610500, China
Hang Zhou: Petroleum Engineering School, Southwest Petroleum University, Chengdu 610500, China
Deyan Zhong: Petroleum Engineering School, Southwest Petroleum University, Chengdu 610500, China
Wenxin Xiu: Petroleum Engineering School, Southwest Petroleum University, Chengdu 610500, China
Xinlin Bai: Petroleum Engineering School, Southwest Petroleum University, Chengdu 610500, China

Energies, 2022, vol. 15, issue 21, 1-16

Abstract: Due to the unclear seepage mechanism for shale oil, it is hard to establish a reasonable mathematical model to describe the flowing law. In this study, a real shale pore structure was reconstructed with CT scanning and a numerical model of fluid flowing in the real shale pore is developed with COMSOL, based on the boundary slip at the micro-nano pore scale to study the causes of nonlinear seepage. A two-fluid model is employed to establish a simple mathematical model to describe the relationship between the flow rate and the pressure gradient using the effective slip length to account for the influence of pore structure and true slip, and the established model is verified with experimental data coming from Jiyang shale oil. The results indicated that the pore structure greatly affected the shape of the seepage curve. With the increase in displacement pressure, the percentage of fluid involved in the flow increased until it became stable, showing a changing trend from nonlinearity to linearity. The established model can fit the experimental data well and reasonably characterize the nonlinear seepage of shale oil.

Keywords: shale oil; micro-nano pore; two-fluid model; mechanism characterization; nonlinear seepage (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: 2022
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