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A mathematical model for analyzing the ground deformation due to a creeping movement across a strike slip fault

  • Subhash Chandra MondalEmail author
  • Suma Debsarma
  • Sanjay Sen
Original Paper
  • 7 Downloads

Abstract

A long, surface breaking, strike slip fault inclined to the vertical is taken to be situated in a linearly viscoelastic half space of Maxwell type representing the lithosphere–asthenosphere system. Tectonic forces due to mantle convection and other related phenomena are supposed to be acting on the system. Under the action of these forces stresses accumulate in the region and fault undergoes a creeping movement when the accumulated stress exceeds the frictional and cohesive forces across the fault. In this paper the creep velocity is supposed to be decelerating in nature. A numerical technique based on finite difference scheme with discontinuity has been developed to solve the related boundary value problem numerically. The resulting scheme is solved with the help of suitable MATLAB code and the nature of stress, strain in the region is shown graphically.

Keywords

Linearly viscoelastic medium Strike slip fault Reducing creep velocity Discontinuous elliptic boundary value problem Finite difference scheme with discontinuity 

Mathematics Subject Classification

86A15 86-08 

Notes

Acknowledgements

Authors are thankful to the reviewers for their valuable suggestions and comments for improvement our article. One of the authors (Subhash Chandra Mondal) thanks to the Library section of Calcutta Mathematical Society for giving privilege to access some beneficial books and journals related to our research work and also to computer laboratory section of the Department of Applied Mathematics, University of Calcutta, for cooperation with our lab-work.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Subhash Chandra Mondal
    • 1
    Email author
  • Suma Debsarma
    • 2
  • Sanjay Sen
    • 2
  1. 1.Umeschandra College (2nd Campus)KolkataIndia
  2. 2.Department of Applied MathematicsUniversity of CalcuttaKolkataIndia

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