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Water Influence on the Determination of the Rock Matrix Bulk Modulus in Reservoir Engineering and Rock-Fluid Coupling Projects

Author

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  • Dariusz Knez

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

  • Mitra Khalilidermani

    (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

This research was conducted to determine how the incorporation of different poroelastic equations would affect the measured rock matrix bulk modulus in the laboratory. To do this, three experimental methods were used to measure the matrix bulk modulus, K s , of seven sandstone specimens taken from the Świętokrzyskie mine in Poland. Those experimental methods were based on the different governing equations in poroelasticty theory. The matrix bulk modulus has a substantial impact on the rock strength against external stresses. Moreover, the rock bulk modulus depends directly on two components: the pore fluid bulk modulus and matrix bulk modulus. The second one is more important as it is much higher than the first one. In this study, the accuracy of those three methods in the measurement of the matrix bulk modulus was evaluated. For this purpose, an acoustic wave propagation apparatus was used to perform the required tests. For each method, an empirical correlation was extracted between the matrix bulk modulus and the applied hydrostatic stress. In all the experiments, an exponential correlation was observed between the matrix bulk modulus and the hydrostatic stress applied on the rock. Furthermore, it was found that the incorporation of the dry bulk modulus in the calculations led to an underestimation of the matrix bulk modulus. In addition, as the hydrostatic stress was raised, the matrix bulk modulus also increased. The applied methodology can be deployed to determine the matrix bulk modulus in coupled rock-fluid problems such as reservoir depletion, hydraulic fracturing, oil recovery enhancement, underground gas storage and land subsidence.

Suggested Citation

  • 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.
  • Handle: RePEc:gam:jeners:v:16:y:2023:i:4:p:1769-:d:1064185
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    References listed on IDEAS

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    1. Andrzej Nowakowski, 2021. "The Influence of Rate of Change in Confining and Pore Pressure on Values of the Modulus of Compressibility of the Rock Skeleton and Biot’s Coefficient," Energies, MDPI, vol. 14(11), pages 1-18, May.
    2. 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.
    3. Decheng Zhang & Ranjith Pathegama Gamage & Mandadige Samintha Anne Perera & Chengpeng Zhang & Wanniarachchillage Ayal Maneth Wanniarachchi, 2017. "Influence of Water Saturation on the Mechanical Behaviour of Low-Permeability Reservoir Rocks," Energies, MDPI, vol. 10(2), pages 1-19, February.
    4. Dariusz Knez & Mitra Khalilidermani, 2021. "A Review of Different Aspects of Off-Earth Drilling," Energies, MDPI, vol. 14(21), pages 1-18, November.
    5. 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.
    6. 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.
    7. 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.
    8. Mitra Khalilidermani & Dariusz Knez, 2022. "A Survey of Application of Mechanical Specific Energy in Petroleum and Space Drilling," Energies, MDPI, vol. 15(9), pages 1-25, April.
    9. Mitra Khalilidermani & Dariusz Knez & Mohammad Ahmad Mahmoudi Zamani, 2021. "Empirical Correlations between the Hydraulic Properties Obtained from the Geoelectrical Methods and Water Well Data of Arak Aquifer," Energies, MDPI, vol. 14(17), pages 1-19, August.
    10. 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.
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    1. Mitra Khalilidermani & Dariusz Knez, 2024. "Shear Wave Velocity Applications in Geomechanics with Focus on Risk Assessment in Carbon Capture and Storage Projects," Energies, MDPI, vol. 17(7), pages 1-27, March.
    2. 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.
    3. Mitra Khalilidermani & Dariusz Knez, 2023. "A Survey on the Shortcomings of the Current Rate of Penetration Predictive Models in Petroleum Engineering," Energies, MDPI, vol. 16(11), pages 1-23, May.
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