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  • 1
    Electronic Resource
    Electronic Resource
    Discrete stability of the Differential System Method evaluated with geostatistical techniques (1998)
    Springer
    Stochastic environmental research and risk assessment 12 (1998), S. 191-204 
    Details
    ISSN: 1436-3259
    Keywords: Keywords: groundwater flow ; inverse problems ; stability ; geostatistical interpolation ; kriging.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Energy, Environment Protection, Nuclear Power Engineering , Geography , Geosciences
    Notes: Abstract The Differential System Method (DSM) permits identification of the physical parameters of finite-difference groundwater flow models in a confined aquifer when piezometric head and source terms are known at each point of the finite-difference lattice for at least two independent flow situations for which the hydraulic gradients are not parallel. Since piezometric head data are usually few and sparse, interpolation of the measured data onto a regular grid can be performed with geostatistical techniques. We apply kriging to the sparse data of a synthetic aquifer to evaluate the stability of the DSM with respect to uncorrelated measurement errors and interpolation errors. The numerical results show that the DSM is stable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004770050017
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A new algorithm for representing transport in porous media in one dimension, including convection, dispersion, and interaction with the immobile phase with first-order kinetics (1993)
    Springer
    Mathematical geology 25 (1993), S. 689-712 
    Details
    ISSN: 1573-8868
    Keywords: mass transfer ; convection-dispersion ; exchange ; random walk
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract The model uses, in one-dimensional flow, the random-walk method on particles and integrates them into a discretized representation of space which eliminates the individual management of each particle. The method of computing allows a simulation of mass transfer in adsorbing media by dissociating the roles of convection, dispersion, and the exchange occurring between the mobile and immobile phases. This gives the parameters that have to be fitted, such as the dispersivity or the exchange rate, a meaning which is closer to their physical reality than that defined by global models (e.g., apparent dispersivity without considering exchange between phases). The model was tested first on analytical solutions and also on data from laboratory experiments on a double porosity chalk column and showed that, with the same limited set of parameters, it could fit concentration/time restitutions at different distances from the injection point. Because of its structure, the algorithm can easily be modified so as to simulate distributed injections and transfers in a regime of variable flow rates.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00893174
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    Paper (German National Licenses)
    Fulltext
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