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Daniel M. Tartakovsky
Researcher at Stanford University
Publications - 303
Citations - 6895
Daniel M. Tartakovsky is an academic researcher from Stanford University. The author has contributed to research in topics: Random field & Nonlinear system. The author has an hindex of 44, co-authored 280 publications receiving 5969 citations. Previous affiliations of Daniel M. Tartakovsky include University of California & Los Alamos National Laboratory.
Papers
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Perspective on theories of non-Fickian transport in heterogeneous media
TL;DR: In this paper, the authors focus on four approaches that give rise to nonlocal representations of advective and dispersive transport of nonreactive tracers in randomly heterogeneous porous or fractured continua.
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Numerical Methods for Differential Equations in Random Domains
TL;DR: This paper proposes a novel computational framework, which is based on using stochastic mappings to transform the original deterministic/stochastic problem in a random domain into a Stochastic Problem in a deterministic domain, and applies it to an elliptic problem in single- and double-connected random domains.
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Applicability regimes for macroscopic models of reactive transport in porous media.
TL;DR: This work uses multiple-scale expansions to upscale a pore-scale advection-diffusion equation with reactions entering through a boundary condition on the fluid-solid interface, and to establish sufficient conditions under which macroscopic advections-dispersion-reaction equations provide an accurate description of the pore.
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Assessment and management of risk in subsurface hydrology: A review and perspective
TL;DR: In this article, a review of recent advances in uncertainty quantification, probabilistic risk assessment (PRA), and decision-making under uncertainty is presented, with a brief discussion of ways to communicate results of uncertainty quantifications and risk assessment.
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On breakdown of macroscopic models of mixing-controlled heterogeneous reactions in porous media
TL;DR: In this article, the authors established sufficient conditions under which macroscopic reaction-diffusion equations (RDEs) provide an adequate averaged description of pore-scale processes.