Simplified calibration of continuous-time random walk solute transport models

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Continuous-time random walk (CTRW) models of non-Fickian solute transport are defined by a temporal pdf and three parameters: a velocity-like constant, a dispersion-like constant and a “time constant”. Presently, to identify a model, all are jointly calibrated against solute breakthrough data. We show that without loss of generality the time constant can be set to unity and velocity-like and dispersion-like CTRW parameters can be set equal to well-defined classical counterparts, and thus physically pre-constrained. Thus only one entity, the pdf, requires empirical fitting during model calibration, rather than four. Our assertions are backed by numerical analysis.

Original languageAmerican English
Article number103521
JournalAdvances in Water Resources
StatePublished - 1 Mar 2020

All Science Journal Classification (ASJC) codes

  • Water Science and Technology


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