Application of Continuous Time Random Walks to Transport in Porous Media
نویسندگان
چکیده
منابع مشابه
Flow intermittency, dispersion, and correlated continuous time random walks in porous media.
We study the intermittency of fluid velocities in porous media and its relation to anomalous dispersion. Lagrangian velocities measured at equidistant points along streamlines are shown to form a spatial Markov process. As a consequence of this remarkable property, the dispersion of fluid particles can be described by a continuous time random walk with correlated temporal increments. This new d...
متن کاملTime Domain Random Walks for Hydrodynamic Transport in Heterogeneous Media
We derive a general formulation of the time domain random walk (TDRW) approach to model the hydrodynamic transport of inert solutes in complex geometries and heterogeneous media. We demonstrate its formal equivalence with the discretized advection-dispersion equation and show that the TDRW is equivalent to a continuous time random walk (CTRW) characterized by space-dependent transition times an...
متن کاملContinuous Time Random Walks for Non-Local Radial Solute Transport
This paper derives and analyzes continuous time random walk (CTRW) models in radial flow geometries for the quantification of non-local solute transport induced by heterogeneous flow distributions and by mobile-immobile mass transfer processes. To this end we derive a general CTRW framework in radial coordinates starting from the random walk equations for radial particle positions and times. Th...
متن کاملOracle Continuous Time Random Walks
Abstract. In a continuous time random walk (CTRW), a random waiting time precedes each random jump. The CTRW model is useful in physics, to model diffusing particles. Its scaling limit is a time-changed process, whose densities solve an anomalous diffusion equation. Some applications require the anticipating version, an oracle continuous time random walk (OCTRW), where the next jump after any g...
متن کاملEvanescent continuous-time random walks.
We study how an evanescence process affects the number of distinct sites visited by a continuous-time random walker in one dimension. We distinguish two very different cases, namely, when evanescence can only occur concurrently with a jump, and when evanescence can occur at any time. The first is characteristic of trapping processes on a lattice, whereas the second is associated with spontaneou...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of Physical Chemistry B
سال: 2000
ISSN: 1520-6106,1520-5207
DOI: 10.1021/jp002470l