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Volume 5, Issue 5
Downscaling: A Complement to Homogenization

A. Trykozko, G. Brouwer & W. Zijl

Int. J. Numer. Anal. Mod., 5 (2008), pp. 157-170.

Published online: 2018-11

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  • Abstract

A groundwater flow model based on a specified hydraulic conductivity field in the modeling domain has a unique solution only if either the head or the normal flux component is specified on the boundary. On the other hand, specification of both head and flux as boundary conditions may be used to determine the conductivity field, or at least improve an initial estimate of it. The specified head and flux data may be obtained from measurements on the boundary, including the wells. We have presented a relatively simple, but instructive approach: the Double Constraint (DC) method. The method is exemplified in the context of upscaling and its inverse: downscaling. The DC method is not only instructive, but also easy to implement because it is based on existing groundwater modeling software. The exemplifications shown in this paper related to downscaling and demonstrate that the DC method has practical relevance.

  • Keywords

Double Constraint Method, Downscaling, Inverse problems, Conductivity

  • AMS Subject Headings

31B20, 35J25, 65C20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-5-157, author = {A. Trykozko, G. Brouwer and W. Zijl}, title = {Downscaling: A Complement to Homogenization}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2018}, volume = {5}, number = {5}, pages = {157--170}, abstract = {

A groundwater flow model based on a specified hydraulic conductivity field in the modeling domain has a unique solution only if either the head or the normal flux component is specified on the boundary. On the other hand, specification of both head and flux as boundary conditions may be used to determine the conductivity field, or at least improve an initial estimate of it. The specified head and flux data may be obtained from measurements on the boundary, including the wells. We have presented a relatively simple, but instructive approach: the Double Constraint (DC) method. The method is exemplified in the context of upscaling and its inverse: downscaling. The DC method is not only instructive, but also easy to implement because it is based on existing groundwater modeling software. The exemplifications shown in this paper related to downscaling and demonstrate that the DC method has practical relevance.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/846.html} }
TY - JOUR T1 - Downscaling: A Complement to Homogenization AU - A. Trykozko, G. Brouwer & W. Zijl JO - International Journal of Numerical Analysis and Modeling VL - 5 SP - 157 EP - 170 PY - 2018 DA - 2018/11 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/846.html KW - Double Constraint Method, Downscaling, Inverse problems, Conductivity AB -

A groundwater flow model based on a specified hydraulic conductivity field in the modeling domain has a unique solution only if either the head or the normal flux component is specified on the boundary. On the other hand, specification of both head and flux as boundary conditions may be used to determine the conductivity field, or at least improve an initial estimate of it. The specified head and flux data may be obtained from measurements on the boundary, including the wells. We have presented a relatively simple, but instructive approach: the Double Constraint (DC) method. The method is exemplified in the context of upscaling and its inverse: downscaling. The DC method is not only instructive, but also easy to implement because it is based on existing groundwater modeling software. The exemplifications shown in this paper related to downscaling and demonstrate that the DC method has practical relevance.

A. Trykozko, G. Brouwer and W. Zijl. (2018). Downscaling: A Complement to Homogenization. International Journal of Numerical Analysis and Modeling. 5 (5). 157-170. doi:
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