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The Double Constraint Inversion Methodology pp 35–55Cite as

The Pointwise Double Constraint Methodology

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Abstract

This chapter deals with the basic elements of the double constraint methodology (DCM). Since the DCM is an imaging method, while most parameter estimation methods are calibration methods, the difference is introduced in Sect. 3.1 and worked out in much greater depths in Sect. 3.9. Section 3.2 introduces the DCM in its most simple, intuitive form. To avoid presentation of three times the same equation for the three conductivity components in anisotropic media, we introduce the “voxel notation” in Sect. 3.3. Sections 3.4 and 3.5 present the theoretical justifications for the “intuitive DCM” presented in Sect. 3.2, while Sect. 3.6 discusses convergence and termination of the iterations. Section 3.7 presents some different approaches to handling anisotropy. Since the DCM is based on two models—the flux model and the head model—the rules for posing the correct boundary conditions for the two models are dealt with in Sect. 3.8.

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Authors and Affiliations

  1. Hydrology and Hydraulic Engineering, Vrije Universiteit Brussel, Brussels, Belgium

    Wouter Zijl & Florimond De Smedt

  2. Department of Civil Engineering, Minia University, Minia, Egypt

    Mustafa El-Rawy

  3. National Centre for Groundwater Research and Training, College of Science and Engineering, Flinders University, Adelaide, SA, Australia

    Okke Batelaan

Authors
  1. Wouter Zijl
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  2. Florimond De Smedt
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  3. Mustafa El-Rawy
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  4. Okke Batelaan
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Correspondence to Wouter Zijl .

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Zijl, W., De Smedt, F., El-Rawy, M., Batelaan, O. (2018). The Pointwise Double Constraint Methodology. In: The Double Constraint Inversion Methodology. SpringerBriefs in Applied Sciences and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-71342-7_3

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