Connecting the grain-shearing mechanism of wave propagation in marine sediments to fractional order wave equations.

  title={Connecting the grain-shearing mechanism of wave propagation in marine sediments to fractional order wave equations.},
  author={Vikas Pandey and Sverre Holm},
  journal={The Journal of the Acoustical Society of America},
  volume={140 6},
  • Vikas PandeyS. Holm
  • Published 8 December 2016
  • Mathematics
  • The Journal of the Acoustical Society of America
The characteristic time-dependent viscosity of the intergranular pore-fluid in Buckingham's grain-shearing (GS) model [Buckingham, J. Acoust. Soc. Am. 108, 2796-2815 (2000)] is identified as the property of rheopecty. The property corresponds to a rare type of a non-Newtonian fluid in rheology which has largely remained unexplored. The material impulse response function from the GS model is found to be similar to the power-law memory kernel which is inherent in the framework of fractional… 

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