Study on Permeability Calculation Method Based on J Function and Fractal Theory
Guangteng Lu1,2, Fengpeng Lai1,2, Bince Li1,2
1School of Energy Resources, China University of Geosciences, Beijing, China.
Ground Water
|July 1, 2023
Summary
A new method using fractal theory calculates sandstone aquifer permeability, overcoming experimental challenges in low-permeability formations. This approach provides accurate and reliable permeability estimations for geological studies.
Area of Science:
- Geology
- Hydrogeology
- Geophysics
Background:
- Permeability is crucial for aquifer characterization.
- Direct permeability measurement is challenging for low-permeability sandstone aquifers.
- Existing methods may lack accuracy in specific geological contexts.
Purpose of the Study:
- To develop and validate a novel method for calculating sandstone aquifer permeability.
- To utilize fractal theory and the J function for improved permeability estimation.
- To analyze the influence of geological parameters on calculated permeability.
Main Methods:
- Derivation of a new permeability calculation method based on fractal theory and the J function.
- Solving the J function under varying water saturation.
- Fitting J function and water saturation curves using mercury injection data to determine fractal dimension and tortuosity.
- Calculation and validation of permeability using rock samples from the Chang 7 Group, Ordos Basin.
Main Results:
- The proposed method accurately calculates sandstone aquifer permeability.
- Validation with 15 rock samples showed a relative error of less than 20% for most samples.
- Analysis revealed the significant effects of fractal dimension, tortuosity, and porosity on permeability.
Conclusions:
- The new fractal-based method offers an accurate and reliable approach for determining sandstone aquifer permeability, especially in low-permeability cases.
- The method effectively integrates mercury injection data and fractal parameters.
- This study enhances the understanding of pore structure controls on aquifer hydraulic properties.
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