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Revisit of well function approximation and an easy graphical curve matching technique for Theis' solution
1Geosystem Exploration and Petroleum Geoengineering Program, School of Civil Engineering, Asian Institute of Technology, AIT P.O. Box 4, Klong Luang, Pathumthani 12120, Thailand. hgiao@ait.ac.th
Ground Water
|May 30, 2003
Summary
This study reviews approximations of Theis' solution for groundwater hydrology. A graphical curve-matching technique is proposed to simplify numerical evaluation of the exponential integral, aiding hydrogeologists.
Area of Science:
- Hydrogeology
- Numerical Methods
- Computational Science
Background:
- Theis' solution is a fundamental analytical method for analyzing transient groundwater flow.
- Accurate evaluation of the exponential integral is crucial for applying Theis' solution.
- Existing methods for evaluating the exponential integral can be complex.
Purpose of the Study:
- To review and compare approximations of Theis' solution.
- To present a simplified graphical method for Theis' curve matching.
- To facilitate the numerical evaluation of the exponential integral.
Main Methods:
- Review of existing approximations for Theis' solution.
- Numerical evaluation of the exponential integral using a FORTRAN code.
- Development and application of a graphical curve-matching technique.
Main Results:
- Comparison of various approximations against numerical results.
- Demonstration of the effectiveness of the proposed graphical technique.
- The graphical method simplifies the application of Theis' solution.
Conclusions:
- The proposed graphical technique offers a practical and accessible approach to Theis' curve matching.
- This method enhances the ease of applying Theis' solution in hydrogeological studies.
- Numerical evaluation combined with graphical methods provides robust solutions for transient flow problems.
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