Preprint
Article

Theoretical Analysis of Three-Dimensional Seepage through the Fracture with Surrounding Rock Deformation

Altmetrics

Downloads

265

Views

147

Comments

0

Submitted:

24 September 2020

Posted:

25 September 2020

You are already at the latest version

Alerts
Abstract
The formation of rock fractures in nature has a certain relationship with water seepage. In order to analyze the shape of rock fracture, we propose a rock deformation theoretical model in three-dimensional space considering with the condition of seepage water pressure, and establish the mass conservation equation, seepage equation, surrounding rock displacement equation, so as to deduce the rock deformation control equation under seepage pressure action. The numerical analysis of the nonlinear quadratic partial differential equation obtains the fracture deformation distribution in the example, and verifies with the calculated fracture morphology. And we further use this principle to analyze the fracture morphology in nature and prove the rationality of the theory.
Keywords: 
Subject: Environmental and Earth Sciences  -   Atmospheric Science and Meteorology
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
Prerpints.org logo

Preprints.org is a free preprint server supported by MDPI in Basel, Switzerland.

Subscribe

© 2024 MDPI (Basel, Switzerland) unless otherwise stated