Two-dimensional treatment of problems arising from mining tabular deposits in isotropic or transversely isotropic ground

Abstract

The analysis is restricted to geometries which do not alter appreciably when moving along their long axes. It is postulated (i) that the mining takes place in an inclined seam, (ii) that the depths of the excavations below surface are effectively infinite and (iii) that all three components of displacement are independent of the co-ordinate parallel with the long axis of the mining layout. Expressions for the displacement and stress components are given in terms of a single complex potential in both models. A general formula for the strain energy increase due to mining is also derived. The general form of the complex potential, required for the calculation of displacements and stresses, is introduced. This solution permits the discussion of problems involving an arbitrary number of panels with arbitrary spans. Finally, six particular examples of practical importance are examined in some detail.