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Diffusion coefficients and multi-scale diffusion models of shale oil and gas
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Mingdi ZHANG1, Guangdong ZHANG2, Langtao ZHU1, Sijin MENG1
Journal of Geomechanics | 2026, 32(4) : 877 - 888
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Journal of Geomechanics | 2026, 32(4): 877-888
• Energy Resources Geology •
Diffusion coefficients and multi-scale diffusion models of shale oil and gas
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Mingdi ZHANG1, Guangdong ZHANG2, Langtao ZHU1, Sijin MENG1
Affiliations
  • 1Southwest Oil and Gas Branch of Sinopec Corporation, Chengdu 610095, Sichuan , China
  • 2School of Petroleum Engineering, Southwest Petroleum University, Chengdu 610500, Sichuan, China
Published: 2026-08-28 doi: 10.12090/j.issn.1006-6616.2025140
Outline
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Objective

To elucidate the diffusion mechanisms of shale oil and gas in nano- to microscale pore-fracture systems and overcome the limitations of conventional models in cross-scale prediction, this study investigates the diffusion characteristics and controlling factors of shale fluids across multiscale porous media.

Methods

High-temperature and high-pressure diffusion experiments were conducted on matrix and bedding-fractured core samples with varying petrophysical properties. A multiscale diffusion model was developed by coupling fractal theory, a tortuous capillary-bundle representation, and a confinement-corrected Peng–Robinson equation of state to account for pore-size distribution, tortuosity, phase saturation, and nanoscale fluid–wall interactions.

Results

Nanoscale confinement leads to phase-diagram contraction and a leftward shift of the critical point, substantially weakening diffusion capacity in confined spaces. Porosity and permeability are the primary structural controls: when porosity increases from 5.68% to 10.53%, gas and liquid diffusion coefficients increase by approximately one order of magnitude; when bedding-fracture permeability increases from 1.69 ×10−15 m2 to 404.88 ×10−15 m2, diffusion coefficients rise by about three to four times. Increasing pressure (10~36 MPa) suppresses gas-phase diffusion but enhances liquid-phase diffusion, whereas higher temperatures (80~115 °C) promote diffusion overall.

Conclusions

The proposed fractal–confinement diffusion model accurately matches the experimental results and reveals key nanoscale mechanisms, including a ~10−5 reduction in effective diffusivity relative to bulk fluids and diffusion capacities in fractures that exceed those of the matrix by one to two orders of magnitude.

Significance

This model enables structural-sensitivity analysis and cross-scale prediction of diffusion processes, providing theoretical support for the quantitative characterization of shale-fluid migration and the optimization of reservoir development.

shale oil and gas  /  diffusion coefficient  /  multiscale diffusion model  /  fractal theory  /  bedding fractures
张明迪, 张广东, 祝浪涛, 蒙思锦. 页岩油气扩散系数及多尺度油气扩散模型研究. 地质力学学报, 2026 , 32 (4) : 877 -888 . DOI: 10.12090/j.issn.1006-6616.2025140
Mingdi ZHANG, Guangdong ZHANG, Langtao ZHU, Sijin MENG. Diffusion coefficients and multi-scale diffusion models of shale oil and gas[J]. Journal of Geomechanics, 2026 , 32 (4) : 877 -888 . DOI: 10.12090/j.issn.1006-6616.2025140
Year 2026 volume 32 Issue 4
204
84
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Article Info
doi: 10.12090/j.issn.1006-6616.2025140
  • Receive Date:2025-05-16
  • Online Date:2026-09-30
  • Published:2026-08-28
Article Data
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History
  • Received:2025-05-16
  • Revised:2025-12-26
  • Accepted:2026-01-30
Affiliations
    1Southwest Oil and Gas Branch of Sinopec Corporation, Chengdu 610095, Sichuan , China
    2School of Petroleum Engineering, Southwest Petroleum University, Chengdu 610500, Sichuan, China
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表12种不同金属材料的力学参数
科
Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)
属
Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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