Empirical Formula for Dynamic Biot Coefficient of Sandstone Samples from South-West of Poland
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. Unde...
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MDPI AG
2021-09-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/14/17/5514 |
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| author | Dariusz Knez Mohammad Ahmad Mahmoudi Zamani |
| author_facet | Dariusz Knez Mohammad Ahmad Mahmoudi Zamani |
| author_sort | Dariusz Knez |
| collection | DOAJ |
| description | 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. |
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| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T08:11:46Z |
| publishDate | 2021-09-01 |
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| spelling | doaj.art-8699a6dad5fb49de97852f1a90a2cc422023-11-22T10:35:49ZengMDPI AGEnergies1996-10732021-09-011417551410.3390/en14175514Empirical Formula for Dynamic Biot Coefficient of Sandstone Samples from South-West of PolandDariusz Knez0Mohammad Ahmad Mahmoudi Zamani1Department of Drilling and Geoengineering, Faculty of Drilling, Oil and Gas, AGH University of Science and Technology, 30-059 Krakow, PolandDepartment of Drilling and Geoengineering, Faculty of Drilling, Oil and Gas, AGH University of Science and Technology, 30-059 Krakow, PolandIn 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.https://www.mdpi.com/1996-1073/14/17/5514poroelasticitySkempton coefficientpore pressureacoustic velocity measurementconfining pressurebulk modulus |
| spellingShingle | Dariusz Knez Mohammad Ahmad Mahmoudi Zamani Empirical Formula for Dynamic Biot Coefficient of Sandstone Samples from South-West of Poland Energies poroelasticity Skempton coefficient pore pressure acoustic velocity measurement confining pressure bulk modulus |
| title | Empirical Formula for Dynamic Biot Coefficient of Sandstone Samples from South-West of Poland |
| title_full | Empirical Formula for Dynamic Biot Coefficient of Sandstone Samples from South-West of Poland |
| title_fullStr | Empirical Formula for Dynamic Biot Coefficient of Sandstone Samples from South-West of Poland |
| title_full_unstemmed | Empirical Formula for Dynamic Biot Coefficient of Sandstone Samples from South-West of Poland |
| title_short | Empirical Formula for Dynamic Biot Coefficient of Sandstone Samples from South-West of Poland |
| title_sort | empirical formula for dynamic biot coefficient of sandstone samples from south west of poland |
| topic | poroelasticity Skempton coefficient pore pressure acoustic velocity measurement confining pressure bulk modulus |
| url | https://www.mdpi.com/1996-1073/14/17/5514 |
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