By Vedat Batu
Over contemporary years, vital contributions related to fixing a number of aquifer difficulties were offered in several papers and reviews. The scattered and wide-ranging nature of this knowledge has made discovering ideas and most sensible practices tricky. entire and self-contained, utilized circulation and Solute shipping Modeling in Aquifers compiles the scattered literature at the subject right into a single-source reference of the main up to date details within the box. in response to Dr. Batu's two decades of useful adventure tackling aquifer difficulties in a myriad of settings, the ebook addresses primarily all at the moment utilized aquifer circulate and contaminant shipping recommendations, combines conception with useful functions, covers either analytical and numerical strategies, and contains options to actual international contaminant shipping modeling situations. Batu ways the topic from the working towards consultant's standpoint and elucidates the problems genuine global pros have confronted in fixing aquifer move and infection difficulties. the writer simplifies the required theoretical history up to attainable and gives all derivational information of the theoretical heritage as labored examples. He makes use of this system to discover how the derivations have been generated in case you want to know whereas permitting others to simply pass them and nonetheless gain and study from the sensible functions of the mathematical techniques. Containing fifty one tables and 323 figures, the booklet covers either the breadth and the intensity of presently utilized aquifer circulation and contaminant shipping modeling recommendations.
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Additional resources for Applied Flow and Solute Transport Modeling in Aquifers: Fundamental Principles and Analytical and Numerical Methods
1 One-Dimensional Solute Transport Equation with Sorption and Desorption Definition of Sorption and Desorption and their Incorporation into the One-Dimensional Equation The one-dimensional convective–dispersive solute transport equation for homogeneous media, as given by Eq. qxd 5/21/2005 5:55 PM Page 23 Fundamental Principles of Solute Transport in Aquifers 23 where G (M/L3/T) is a source–sink term that represents the rate at which the dissolved species is removed from solution. In other words, G represents the mass of solute per unit volume of solution per unit time.
This can also be visualized as a Darcy experiment device. In Figure 2-4a, the mean flow directions are shown in the sense of Darcy velocity. In Figure 2-4b, the path lines of individual fluid particles around the grains of a porous medium, which is filled by water, are shown. Due to the irregular shapes of grains and pores, local fluid velocities inside individual pores deviate from the average pore velocity. Such velocity variations cause the solute to be transported downgradient at different rates, thus leading to a mixing process that is macroscopically similar to mixing caused by the diffusive transport.
Qxd 5/21/2005 5:55 PM Page 13 Fundamental Principles of Solute Transport in Aquifers or, in the limiting case, ⌬C/⌬s becomes dC/ds, and hence dC Fsdif ϭϪD* ᎏ ds 13 (2-20) which is called Fick’s first law. Fick’s Modified First Law for Porous Media By modifying Fick’s first law (Eq. [2-20]), in the presence of the solid phase, the diffusion flux in a saturated porous medium becomes (see Figure 2-3) dC (2-21) Fsdif ϭϪϕe D* ᎏ ds where e is the effective porosity of the medium. For unsaturated porous media flow case, e ϭ , where is the water content.
Applied Flow and Solute Transport Modeling in Aquifers: Fundamental Principles and Analytical and Numerical Methods by Vedat Batu