Abstract
Most of the earthquake faults in North-East India, China, mid Atlantic-ridge, the Pacific seismic belt and Japan are found to be predominantly dip-slip in nature. In the present paper a dip-slip fault is taken situated in an elastic layer over a viscoelastic half space representing the lithosphere-asthenosphere system. A movement of the dip-slip nature across the fault occurs when the accumulated stress due to various tectonic reasons e.g. mantle convection etc., exceeds the local friction and cohesive forces across the fault. The movement is assumed to be slipping in nature, expressions for displacements, stresses and strains are obtained by solving associated boundary value problem with the help of integral transformation and Green’s function method and a suitable numerical methods is used for computation. A detailed study of these expressions may give some ideas about the nature of stress accumulation in the system, which in turn will be helpful in formulating an earthquake prediction programme.
Highlights
It is the observational fact that while some faults are strike slip in nature, there are faults (e.g., Sierra Nevada/Owens valley: Basin and Range faults, Rocky Mountains, Himalayas, Atlantic fault of central Greece—a steeply dipping fault with dip 60, 80) where the surface level changes during the motion i.e. the faults are dip-slip in nature.A pioneering work involving static ground deformation in elastic media was initiated by [1,2]
For vertical dip-slip fault the nature is the same with less numerical values, which is explained by Figure 2
If there were a second fault situated in the region where stress get released due to the movement across the first fault, the possibility of a movement across the second fault would likes to be deferred further
Summary
It is the observational fact that while some faults are strike slip (finite or infinite in length) in nature, there are faults (e.g., Sierra Nevada/Owens valley: Basin and Range faults, Rocky Mountains, Himalayas, Atlantic fault of central Greece—a steeply dipping fault with dip 60, 80 (deg)) where the surface level changes during the motion i.e. the faults are dip-slip in nature. [3] did a wonderful work in analyzing the displacement, stress and strain for dip-slip movement. The work of [33] can be mentioned in these connections In most of these works the medium were taken to be elastic and/or viscoelastic, but a layered model with elastic layer(s) over elastic or viscoelastic half space will be a more realistic one for lithosphere-asthenosphere system. K. DEBNATH displacements, stresses and strains in the system are obtained both before and after the fault movement using appropriate mathematical technique involving integral transformation and Green’s function. Numerical computational works have been carried out with suitable values of the model parameters and the nature of the stress and strain accumulation in the medium have been investigated
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