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Class Note for BSysE 595 at WSU 24

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This 5 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at Washington State University taught by a professor in Fall. Since its upload, it has received 19 views.

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Date Created: 02/06/15
Fickian Model Geostatistical Approach and Tracer Tests 1 A Fickian Model In modeling use of a hydrodynamic dispersion coefficient consisting of mechanical dispersion and diffusion DL D Dn ocva Dn implies a Fickian behavior J D x The model physically describes diffusion but not mechanical dispersion The justification is a practical one because the net effect of both processes is to cause C to be distributed normally Statistics of the normal distribution are related to the dispersion coefficient by DL 10131014 DL longitudinal dispersion coefficient 0L population std dev t time v pore velocity x distance from source DT 1015 DT transverse dispersion coefficient 0T population std dev Spacetime statistics interchanging is given by oi vzof 1016 DL 1017 Eq 1017 enables calculation of dispersion coefficient for a breakthrough curve eg 201 84 t16 40t 977 423 t84 t16 breakthrough times corresponding to CC0 of 084 and 016 respect accounting for 68 of mass t9 t23 breakthrough times corresponding to CC0 of 0977 and 0023 respect accounting for 954 mass 2 A Geostatistical Model of Dispersion Geostat analysis aims at representing spatial heterogeneity by a few stat parameters Three commonly used parameters mean variance and correlation length scale Correlation length A a measure of the spatial persistence of zones of similar properties 3 Lag some constant separation interval Issue ofK vs Y an Estimating mean 17 and variance S12 1 n 2 1 n YZZ Yi SYZZZ IQ Dz t1 i1 Autocovariance function 1 quot Cyan Z2 my worm Y1 1025 i1 When h 0 CYh S Autocorrelation function ph or rYh ph exp ht 1024 Cyh S A the separation at which ph e 391 037 rY0 Estimation of dispersiVity 1026 L asymptotic longitudinal dispersiVity 0 variance of Y an 7 flow factor 3 Tracer Tests Help to understand advection and dispersion Common tracers Naturally occurring ions Br l Cl l Environmental isotopes 3H 180 Food dyes Contaminants entering ground water 5

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