Mathematical modeling of stress-strain state in rock mass during mining with backfill

The article presents a discussion of formulations and methods for solving problems on stress-strain state of surrounding rocks and solidifying backfill developed in the Institute of Mining. As shown, effective algorithms can be obtained with the use of a computational domain that conforms with the rock mass before the first and second mining. The process of driving and backfilling is modeled using the iteration procedures from the initial stress and strain methods. Convergence of the offered iteration procedures is confirmed. Solution of practical problems is exemplified. In the framework of the developed methods and algorithms, the author offers the ways of accounting for incomplete backfill with solidifying mixtures and for rheological properties of surrounding rocks and the backfill.