Dear Prabhakar

If I well understood the question, you affirm that the geophysical parameter Vs used for the evaluation of CRR (Cyclic Resistance Ratio) depend on deformation levels.

The Vs is the geo-mechanical parameter that characterizes the soil type when is un-perturbed and it is used, together the water-table level, for the CRR estimation. On the other hand, we can think that the Vs parameter changes during the different stages of the liquefaction process. At beginning of the process with initial load, the Vs value is almost similar to the value measured on un-perturbated soil (like that measured with geophysical techniques or other in-situ geotechnical techniques), after several load cycles the Vs value changes due to the compaction of the soil, (reduction of the mean porosity of the system), and the following increase of the water level; or due to consolidation and dilatation of soil, with the successive readjustment of the water level.

A great challenge of applied geophysics could be follow locally in-situ (with time-lapse monitoring techniques) the Vs variation in the subsoil during the stages from the preparation to liquefaction up to the parossistic liquefaction.

If you are interested, I advice you read our papers on

“geophysical characterization of liquefaction-prone areas” published in Soil Dynamics and Earthquake Engineering: https://doi.org/10.1016/j.soildyn.2018.10.001

“Micro electrical resistivity tomography for seismic liquefaction study” published in Journal of Applied Geophysics: https://doi.org/10.1016/j.jappgeo.2020.104124

May you find useful this paper on the topic :

"The adoption of deep neural network (DNN) to the prediction of soil

liquefaction based on shear wave velocity" Article The adoption of deep neural network (DNN) to the prediction ...

Maybe this article useful for your question:

https://doi.org/10.3390/geosciences8070242