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A method of solving three-dimensional problems of seam workings and geological faults

  • Rock Mechanics
  • Published:
Journal of Mining Science Aims and scope

Conclusions

1. HSIE in the form of (10) and quadrature equations (31)–(36) are convenient means of solving the problem involving systems of three-dimensional seam workings in the region of influence of geological faults.

2. Iteration procedures similar to Schwartz’s algorithm make it possible to use the method on conventional personal computers with an 8-Mb on-line memory. For adjacent seams, it is expedient to divide the workings into subworkings with dimensions exceeding by no more than 10 times the thickness of the interseam space. An accuracy sufficient for practice is ensured by four iterations.

3. The iteration procedure described in Section 4, which accounts for nonlinearity of deformation in faults, makes it possible to dispense with restructuring of the basic matrices. In cases of practical importance, it ensures sufficient accuracy for two iterations.

4. Analysis of the stress-strain state and risk of mine shocks around workings in the region of influence of faults requires the solution of problems in a three-dimensional statement. The method that we developed and the FAULT3D program [40] serve these purposes.

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Authors
  1. A. M. Lin’kov
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  2. V. V. Zubkov
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  3. M. A. Kheib
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Additional information

Branch of the Science of Machines Institute, Russian Academy of Sciences. All-Union Scientific Research Institute of Mine Surveying, Saint Petersburg. Translated from Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, No. 4, pp. 3–25, July–August, 1997.

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Lin’kov, A.M., Zubkov, V.V. & Kheib, M.A. A method of solving three-dimensional problems of seam workings and geological faults. J Min Sci 33, 295–315 (1997). https://doi.org/10.1007/BF02765847

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