Publication Details

Category Text Publication
Reference Category Journals
DOI 10.1103/PhysRevE.67.046306
Title (Primary) Numerical studies of the transport behavior of a passive solute in a two-dimensional incompressible random flow field
Author Dentz, M.; Kinzelbach, H.; Attinger, S.; Kinzelbach, W.
Source Titel Physical Review E
Year 2003
Department CHS
Volume 67
Issue 4
Page From 046306
Language englisch
Abstract We study the transport behavior of a passive scalar in a two-dimensional (2D) time-independent Gaussian random velocity field by efficient and highly accurate numerical simulations. The model under consideration has been used in order to gain basic understanding of transport processes in incompressible flow through heterogeneous porous media. The velocity field is derived from the linearized solution of the Darcy equation with a Gauss-distributed log-hydraulic conductivity. The transport of a passive scalar is studied by a high precision random-walk method, which allows for a systematic nonperturbative study of the ensemble and effective dispersion coefficients. The conclusive numerical results validate the range of applicability of the perturbation theory and the consistency of nonperturbative approaches to the transport problem in a random medium. Furthermore, we observe closed streamlines in incompressible 2D Gaussian random fields, which restricts the direct applicability of the simulation method for transport in heterogeneous porous media, and questions the results of similar studies that do not observe this phenomenon.
Persistent UFZ Identifier https://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=4782
Dentz, M., Kinzelbach, H., Attinger, S., Kinzelbach, W. (2003):
Numerical studies of the transport behavior of a passive solute in a two-dimensional incompressible random flow field
Phys. Rev. E 67 (4), 046306 10.1103/PhysRevE.67.046306