Free Boundaries in Rock Mechanics
Free Boundaries in Rock Mechanics
by Anvarbek Meirmanov and Oleg V. Galtsev
English | 2017 | ISBN: 3110544903 | 222 Pages | PDF | 2.2 MB
by Anvarbek Meirmanov and Oleg V. Galtsev
English | 2017 | ISBN: 3110544903 | 222 Pages | PDF | 2.2 MB
This monograph is concerned with free-boundary problems of partial differential equations arising in the physical sciences and in engineering. The existence and uniqueness of solutions to the Hele-Shaw problem are derived and techniques to deal with the Muskat problem are discussed. Based on these, mathematical models for the dynamics of cracks in underground rocks and in-situ leaching are developed.
Contents:
1. Introduction
2. The Hele-Shaw problem
3. A joint motion of two immiscible viscous fluids
4. Mathematical models of in-situ leaching
5. Dynamics of cracks in rocks
6. Elements of continuum mechanics