This chapter deals with the basic equation governing groundwater flow. In Sect. 2.1, the equations are presented in their full four-dimensional form (three spatial dimensions + time) with emphasis on the parameters. Section 2.2 introduces Calderón’s approach to determination of the spatially heterogeneous hydraulic conductivity field. To avoid negative hydraulic conductivities in the double constraint methodology (DCM), this approach is based on the square root of the hydraulic conductivity (sqrt-conductivity α). Section 2.3 introduces Stefanescu’s α-center method for parameter estimation, while Sect. 2.4 analyzes Calderón’s approach in more depth using inspiration from Stefanesco’s method. Although this chapter sets the scene for the real subject matter of this book—the double constraint methodology (DCM)—its reading may be skipped by readers who want to go directly to the DCM treated in Chap. 3.
|Title of host publication||The Double Constraint Inversion Methodology|
|Subtitle of host publication||Equations and Applications in Forward and Inverse Modeling of Groundwater Flow|
|Editors||Wouter Zijl, Florimond De Smedt, Mustafa El-Rawy, Okke Batelaan|
|Number of pages||19|
|Publication status||Published - 2018|
|Name||SpringerBriefs in Applied Sciences and Technology|
©The Author(s) 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations,recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed.
- Calderon's conjecture
- smoothed conductivity fields
- stefanescu's alpha centers
- uncorrelated conductivity fields