Analytical Solutions of First-order Displacement Discontinuity Elements in Poroelasticity | ||
| Journal of Mining and Environment | ||
| مقاله 14، دوره 14، شماره 2، تیر 2023، صفحه 601-618 اصل مقاله (1.49 M) | ||
| نوع مقاله: Original Research Paper | ||
| شناسه دیجیتال (DOI): 10.22044/jme.2023.12631.2296 | ||
| نویسندگان | ||
| Mohammadhossein Dehghani Firoozabadi1؛ Mohammad Fatehi Marji1؛ Abolfazl Abdollahipour* 2؛ Alireza Yarahamdi Bafghi1؛ Yousef Mirzaeian1 | ||
| 1Department of Mining and Metallurgical Engineering, Faculty of Engineering, Yazd University, Yazd, Iran | ||
| 2School of Mining Engineering, College of Engineering, University of Tehran, Tehran, Iran | ||
| چکیده | ||
| The presence of pores and cracks in porous and fractured rocks is mostly accompanied by fluid flow. Poroelasticity can be used for the accurate modeling of many rock structures in the petroleum industry. The approach of the stress to the value of the fracture stress and the effect of pore pressure on the deformation of rock are among the effects of fluid on the mechanical behavior of the medium. Due to the deformation-diffusion property of porous media, governing equations, strain-displacement, and stress-strain relationships can be changed to each other. In this study, constitutive equations and relationships necessary to investigate the behavior and reaction of rock in a porous environment are stated. Independent and time-dependent differential equations for an impulse and point fluid source are used to obtain the fundamental solutions. Influence functions are obtained by using the shape functions in the formulation of the fundamental solutions and integrating them. To check the validity and correctness of provided formulation, several examples are mentioned. In the first two examples, numerical application and analytical solution are used at different times and in undrained and drained conditions. In times 0 (undrained response of medium) and 4500 seconds (drained response of medium), there is good coordination and agreement between the numerical and analytical results. In the third example, using the numerical application, a crack propagation path in the wellbore wall is obtained, which is naturally in the direction of maximum horizontal stress. | ||
| کلیدواژهها | ||
| The DDM؛ Linear Elements؛ Poroelasticity؛ Time dependent response | ||
| مراجع | ||
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