AUTHOR=Barajas-Solano David A. , Alexander Francis J. , Anghel Marian , Tartakovsky Daniel M. 

TITLE=Efficient gHMC Reconstruction of Contaminant Release History

JOURNAL=Frontiers in Environmental Science

VOLUME=7

YEAR=2019

URL=https://www.frontiersin.org/journals/environmental-science/articles/10.3389/fenvs.2019.00149

DOI=10.3389/fenvs.2019.00149

ISSN=2296-665X

ABSTRACT=<p>We present a generalized hybrid Monte Carlo (gHMC) method for fast, statistically optimal reconstruction of release histories of reactive contaminants. The approach is applicable to large-scale, strongly nonlinear systems with parametric uncertainties and data corrupted by measurement errors. The use of discrete adjoint equations facilitates numerical implementation of gHMC without putting any restrictions on the degree of nonlinearity of advection-dispersion-reaction equations that are used to describe contaminant transport in the subsurface. To demonstrate the salient features of the proposed algorithm, we identify the spatial extent of a distributed source of contamination from concentration measurements of a reactive solute.</p>