We also discuss a less-documented but important issue in hydrology: how to treat the upstream boundary in analysing the lateral movement of tracer in an aquifer when the tracer is injected as a pulse. It is shown that the use of an infinite domain, as commonly assumed in literature, leads...
Advectionis mechanical transport of solutes along with the bulk flux of the water. It is driven by the gradient in the total mechanical energy of the solution, just as thewater fluxis driven. For most circumstances, this means the gradient in gravitation potential energy. Advective fluxes are ...
Home > Section > Chapter Philip, J.R. Irrigation Science 8(2): 101-114 1987 ISSN/ISBN:0342-7188 10.1007/bf00259475 001523381 Full-Text Article emailed within 0-6 h Buy Now for$19.90 Payments are secure & encrypted Summary
Fractional calculus is a very important branch of mathematical analysis. This branch is basically interested in investigating the properties of derivatives and integrals of non-integer orders (called fractional derivatives and integrals). Fractional ordinary differential equations (FODEs) and fractional parti...
Home > Section > Chapter Philip, J.R. Irrigation Science 8(2): 101-114 1987 ISSN/ISBN:0342-7188 10.1007/bf00259475 001523381 Full-Text Article emailed within 0-6 h Buy Now for$19.90 Payments are secure & encrypted Summary
Centimeter-scale flows, for example those driven by high-frequency waves (King et al., 2009) or current-ripple interactions (Huettel et al., 1996), are not always included in the broad definition of SGD (Moore, 2010), but these processes clearly cause water and solutes to migrate across ...
In the study of numerical approximation of the variable fractional order partial differential equation, it is worth mentioning that the Coimbra variable fractional derivative definition (3) is seldom used as the variable fractional order derivative. The structure of the remainder of this paper is as ...
Fractional advection–dispersion equations are used in groundwater hydrology to model the transport of passive tracers carried by fluid flow in a porous medium. In this paper we develop practical numerical methods to solve one dimensional fractional advection–dispersion equations with variable coefficients...