Hydraulic fracture propagation: analytical solutions versus Lattice simulations | ||
| Journal of Mining and Environment | ||
| مقاله 13، دوره 10، شماره 2، تیر 2019، صفحه 451-464 اصل مقاله (3.44 M) | ||
| نوع مقاله: Case Study | ||
| شناسه دیجیتال (DOI): 10.22044/jme.2019.7726.1638 | ||
| نویسندگان | ||
| E. Bakhshi1؛ V. Rasouli2؛ A. Ghorbani* 1؛ M. Fatehi Marji1 | ||
| 1Department of Mining and Metallurgical Engineering, Yazd University, Yazd, Iran | ||
| 2Department of Petroleum Engineering, University of North Dakota, USA | ||
| چکیده | ||
| In this work, we used a grain-based numerical model based on the concept of lattice. The modelling was done to simulate the lab experiments carried out on the mortar samples. Also the analytical solutions corresponding to the viscosity-dominated regime were used to estimate the fracture length and width, and the results obtained were compared with the numerical simulations. As the analytical solutions are proposed for a penny-shaped fracture with no presence of any obstacle such as natural interfaces, in this work, we presented the results of lattice simulations for hydraulic fracturing in the cement sample, similar to the lab, but with no natural fractures, and compared the results obtained with analytical solutions. The results indicated that in the case of a continuous medium, the analytical solutions may present a reasonable estimation of the fracture geometry. Also the viscosity-dominated leak-off model showed a better match between the analytical solutions and the numerical simulation results, confirmed by observing fluid loss into the sample in the lab post-experiment. In the case of assuming leak-off, the results indicated that the fracture width and length would reduce. However, it should be noted that in real cases, rock formations exhibit fractures and inhomogeneity at different scales so that the applications of the analytical solutions are limited. | ||
| کلیدواژهها | ||
| Hydraulic Fracturing Propagation؛ Lattice؛ Numerical Simulations؛ Analytical Solutions | ||
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آمار تعداد مشاهده مقاله: 716 تعداد دریافت فایل اصل مقاله: 984 |
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