The method of distributions for dispersive transport in porous media with uncertain hydraulic properties

Fickian dispersion is anomalous

(2015) John H. Cushman et al.   JOURNAL OF HYDROLOGY

Cumulative distribution function solutions of advection-reaction equations with uncertain parameters

(2014) F. Boso et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

First-order based cumulative distribution function for solute concentration in heterogeneous aquifers: Theoretical analysis and implications for human health risk assessment

(2014) F. P. J. de Barros et al.   WATER RESOURCES RESEARCH

Exact PDF equations and closure approximations for advective-reactive transport

(2013) D. Venturi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Comparison of Closures for Stochastic Advection-Diffusion Equations

(2013) K. D. Jarman et al.   SIAM-ASA Journal on Uncertainty Quantification

Assessment and management of risk in subsurface hydrology: A review and perspective

(2012) Daniel M. Tartakovsky   ADVANCES IN WATER RESOURCES

Concentration statistics for transport in heterogeneous media due to stochastic fluctuations of the center of mass velocity

(2011) Marco Dentz   ADVANCES IN WATER RESOURCES

On the local concentration probability density function of solutes reacting upon mixing

(2011) A. Bellin et al.   WATER RESOURCES RESEARCH

Probability density functions for passive scalars dispersed in random velocity fields

(2010) Marco Dentz et al.   GEOPHYSICAL RESEARCH LETTERS

Progress in probability density function methods for turbulent reacting flows

(2009) D.C. Haworth   PROGRESS IN ENERGY AND COMBUSTION SCIENCE

Probability density functions for advective-reactive transport with uncertain reaction rates

(2009) Daniel M. Tartakovsky et al.   WATER RESOURCES RESEARCH

Perspective on theories of non-Fickian transport in heterogeneous media

(2008) Shlomo P. Neuman et al.   ADVANCES IN WATER RESOURCES