Time-related capture zones for radial flow in two dimensional randomly heterogeneous media |
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Authors: | M Riva A Guadagnini F Ballio |
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Institution: | (1) Dipartimento di Ingegneria Idraulica, Ambientale e del Rilevamento, Politecnico di Milano, Piazza L. da Vinci, 32-20133, Milano, Italy Phone: (39) 02-2399 6263, Fax: (39) 02-2399 6298, e-mail: guadagni@idra5.iar.polimi.it, IT |
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Abstract: | We consider the effect of randomly heterogeneous hydraulic conductivity on the spatial location of time-related capture zones
(isochrones) for a non-reactive tracer in the steady-state radial flow field due to a pumping well in a confined aquifer.
A Monte Carlo (MC) procedure is used in conjunction with FFT-based spectral methods. The log hydraulic conductivity field
is assumed to be Gaussian and stationary, with isotropic exponential correlation. Various degrees of domain heterogeneity
are considered and stability and accuracy of the MC procedure is examined. The location of an isochrone becomes uncertain
due to heterogeneity, and it is strongly influenced by hydraulic conductivity variance. The probability that a particle released
at a point in the aquifer is pumped by the well within a given time is identified. We propose a new expression for the probabilistic
spatial distribution of isochrones, which is formally similar to the analytical solution for a uniform medium and takes into
account the effects of heterogeneity. |
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Keywords: | : Transport in porous media random media travel time well protection zones numerical methods probabilistic models |
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