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Empirical Formula for Dynamic Biot Coefficient of Sandstone Samples from South-West of Poland

Author

Listed:
  • Dariusz Knez

    (Department of Drilling and Geoengineering, Faculty of Drilling, Oil and Gas, AGH University of Science and Technology, 30-059 Krakow, Poland)

  • Mohammad Ahmad Mahmoudi Zamani

    (Department of Drilling and Geoengineering, Faculty of Drilling, Oil and Gas, AGH University of Science and Technology, 30-059 Krakow, Poland)

Abstract

In this research, two empirical correlations have been introduced to calculate the dynamic Biot coefficients of low-porosity and high-porosity sandstone samples from two open pit mines located in South-West Poland. The experiments were conducted using an acoustic velocity measurement apparatus. Under the undrained condition, firstly, the confining pressure was increased in increments of 200 psi, and the values of pore pressure and dynamic elastic modulus were recorded. This experiment was continued until the Skempton coefficient remained in the range of 0.98–1. Secondly, an experiment on the same sample was conducted under drained conditions, and the corresponding dynamic elastic moduli were calculated. Then, using the calculated dynamic elastic moduli, the dynamic Biot coefficient was determined for each sample under different confining pressure. Finally, two empirical correlations were formulated for each sandstone category. The results demonstrate that, as the confining pressure increases, the Biot coefficient decreases from 0.79 to 0.50 and from 0.84 to 0.45 for low-porosity and high-porosity samples, respectively. Furthermore, as the porosity increases, the sandstone behavior increasingly approaches that of soil. The empirical correlations can be used for sandstone formations with the same porosity in projects where there is not a measurement method for the Biot coefficient.

Suggested Citation

  • Dariusz Knez & Mohammad Ahmad Mahmoudi Zamani, 2021. "Empirical Formula for Dynamic Biot Coefficient of Sandstone Samples from South-West of Poland," Energies, MDPI, vol. 14(17), pages 1-17, September.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:17:p:5514-:d:628709
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    References listed on IDEAS

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    1. Awad Ahmed Quosay & Dariusz Knez & Jan Ziaja, 2020. "Hydraulic fracturing: New uncertainty based modeling approach for process design using Monte Carlo simulation technique," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-18, July.
    2. Dariusz Knez & Rafał Wiśniowski & Winnie Ampomaa Owusu, 2019. "Turning Filling Material into Proppant for Coalbed Methane in Poland—Crush Test Results," Energies, MDPI, vol. 12(9), pages 1-6, May.
    3. Mohammad Ahmad Mahmoudi Zamani & Dariusz Knez, 2021. "A New Mechanical-Hydrodynamic Safety Factor Index for Sand Production Prediction," Energies, MDPI, vol. 14(11), pages 1-14, May.
    4. Tri Pham & Ruud Weijermars, 2020. "Hydraulic Fracture Propagation in a Poro-Elastic Medium with Time-Dependent Injection Schedule Using the Time-Stepped Linear Superposition Method (TLSM)," Energies, MDPI, vol. 13(24), pages 1-22, December.
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    1. Dariusz Knez & Mohammad Ahmad Mahmoudi Zamani, 2021. "A Review of the Geomechanics Aspects in Space Exploration," Energies, MDPI, vol. 14(22), pages 1-21, November.
    2. Dariusz Knez & Herimitsinjo Rajaoalison, 2022. "Land Subsidence Assessment for Wind Turbine Location in the South-Western Part of Madagascar," Energies, MDPI, vol. 15(13), pages 1-13, July.
    3. Mohammad Ahmad Mahmoudi Zamani & Dariusz Knez, 2023. "Experimental Investigation on the Relationship between Biot’s Coefficient and Hydrostatic Stress for Enhanced Oil Recovery Projects," Energies, MDPI, vol. 16(13), pages 1-13, June.
    4. Dariusz Knez & Mitra Khalilidermani & Mohammad Ahmad Mahmoudi Zamani, 2023. "Water Influence on the Determination of the Rock Matrix Bulk Modulus in Reservoir Engineering and Rock-Fluid Coupling Projects," Energies, MDPI, vol. 16(4), pages 1-15, February.
    5. Dariusz Knez & Mitra Khalilidermani, 2021. "A Review of Different Aspects of Off-Earth Drilling," Energies, MDPI, vol. 14(21), pages 1-18, November.
    6. Dariusz Knez & Omid Ahmad Mahmoudi Zamani, 2023. "Up-to-Date Status of Geoscience in the Field of Natural Hydrogen with Consideration of Petroleum Issues," Energies, MDPI, vol. 16(18), pages 1-17, September.

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