A calculation method of the reservoir Biot coefficient based on the Griffith criterion and the equivalent inclusion theory

ZHANG Hui; PEI Chenyang; WANG Zhimin; LIU Lei; LI Jing; LIU Yishuai; WU Zekun

doi:10.12090/j.issn.1006-6616.2025086

Volume 32 Issue 2

Apr. 2026

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ZHANG H，PEI C Y，WANG Z M，et al.，2026. A calculation method of the reservoir Biot coefficient based on the Griffith criterion and the equivalent inclusion theory[J]. Journal of Geomechanics，32（2）：1−10 doi: 10.12090/j.issn.1006-6616.2025086

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A calculation method of the reservoir Biot coefficient based on the Griffith criterion and the equivalent inclusion theory

doi: 10.12090/j.issn.1006-6616.2025086

ZHANG Hui^{1, 2
,},
PEI Chenyang^3
,,
WANG Zhimin^{1, 2
,},
LIU Lei^{1, 2
,},
LI Jing^{3
,
,},
LIU Yishuai^3
,,
WU Zekun^3
,

1.
Tarim Oilfield Company, PetroChina, Korla 841000, Xinjiang, China
2.
R&D Center for Ultra-Deep Complex Reservoir Exploration and Development, CNPC, Korla 841000, Xinjiang, China
3.
State Key Laboratory of Deep Oil and Gas, China University of Petroleum (East China), Qingdao 266580, Shandong, China

Funds: This research was financially supported by the National Natural Science Foundation of China (Grant No. 42472195), the National Science and Technology Major Project (Grant No. 2025ZD1402400), and the CNPC Major Science and Technology Project (Grant No. 2023ZZ14YJ03).

More Information

Received: 2025-07-09
Revised: 2026-02-04
Accepted: 2026-02-05

Available Online: 2026-02-09

Published: 2026-04-28

Abstract

Abstract

Objective The Biot coefficient is defined as the ratio of the change in pore volume to the change in total rock volume, reflecting how efficiently pore pressure offsets externally the applied total stress under loading conditions. As a key parameter in poroelastic theory, the Biot coefficient links pore pressure to effective stress in a reservoir and plays a critical role in geostress calculation and wellbore stability analysis. Methods Based on the equivalent inclusion theory, this study introduces parameters such as the polarization factor and fracture aspect ratio to characterize the influence of fracture geometry on mechanical reservoir properties. Combined with the Griffith fracture criterion, a method for determining the expected aspect ratio of fractures is developed, leading to analytical expressions for the Biot coefficient in both fractured reservoirs and dissolution cavity reservoirs. Results Compared with field-measured geostress data, the maximum and minimum horizontal principal stresses calculated using the proposed Biot coefficient method yield maximum errors of 5.75% and 6.03%, respectively, meeting engineering accuracy requirements. Conclusions These findings provide a theoretical basis for accurate geostress field characterization and efficient exploration and development of unconventional reservoirs.
- Biot coefficient,
- Griffith criterion,
- equivalent inclusion theory,
- fractures,
- dissolution cavities,
- geostress

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