Matlab implementation of Geertsma's equation (Geerstma, 1973) for subsidence and inflation of a reservoir in a homgeneous medium. In-line syntax is described in the comments. See the files for further documentation.
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'Geertsma_Checklist': runs a quick check on the functions.
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'Geertsma_Exact': calculates the vertical compaction on the line above and below a compacting disc
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'Geertsma_Example': runs a numerical example, with some plot suggestions.
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'Geertsma_Symbolic_ToolBox': modeling function, with detailed explanation. Use this if you have the symbolic toolbox installed
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'Geertsma_No_ToolBox': modeling function, with detailed explanation. Use this if you do not have the symbolic toolbox installed. Accuracy is slightly worse.
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Other functions are numerical implementations necessary in the absence of the Symbolic Toolbox.
Author:
Filipe Borges (filipe.borges.7@gmail.com),
Norwegian University of Science and Technology.
Updatde History:
- 14/11/2018: Added code to calculate Heuman Lambda Function (end of main code).
References:
Fjær, E., R. M. Holt, A. Raaen, R. Risnes, and P. Horsrud,
2008, Petroleum related rock mechanics: Elsevier, 53.
Geertsma, J., 1973, A basic theory of subsidence due to
reservoir compaction: the homogeneous case: Verhandelingen
Kon. Ned. Geol. Mijnbouwk. Gen, 28, 43-62.