Notes on a compressible extended Burgers model of rheology

SUMMARY Constitutive theory for viscoelasticity has broad application to solid mantle or ice deformations driven by tides, surface mass variations, and post-seismic flow. Geophysical models using higher order can better accommodate geodetic observations than lower-order theory, typically provided tensor versions of Maxwell, 4-parameter Burgers standard linear (Zener) rheology. We derive, the first time, a mathematical description compressible version extended material (EBM) model paradigm which distribution function relaxation spectra. The latter is often used parametrizing high temperature background transient responses in rock physics mechanics laboratory setting have demonstrated low frequency seismic wave attenuation. A new generalization this practical anelastic presented applied glacial isostatic adjustment momentum equations, thus providing useful guidance generating initial-value boundary problem-solving software quite general coding strategies. solutions vertical motion response suddenly imposed load reveal short-term transience substantial amplitude.