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Flowing Well-Time-Domain Solution and Inverse Problem Revisited
1APTIM Environmental & Decommissioning, 420 Exchange, Suite 150, Irvine, CA, 92602.
Ground Water
|December 14, 2020
Summary
A new analytical solution for groundwater flow to wells improves aquifer property estimation. Analyzing both flow rate and drawdown data simultaneously provides more accurate results than flow data alone.
Area of Science:
- Hydrogeology
- Aquifer Mechanics
- Mathematical Modeling
Background:
- Theis (1935) equation is a cornerstone for analyzing transient groundwater flow.
- Existing analytical solutions for flowing wells have limitations in computational efficiency and accuracy.
- Accurate estimation of aquifer properties is crucial for sustainable groundwater management.
Purpose of the Study:
- To derive a time-domain analytical solution for groundwater flow to a fully penetrating flowing well.
- To confirm the approximate solution by Mishra and Guyonnet (1992).
- To introduce a computationally effective alternative to existing solutions.
Main Methods:
- Utilized a substitution technique, similar to that used for the Theis (1935) equation.
- Developed an exponential integral-based flowing well function.
- Applied the derived solution to analyze field test data, including simultaneous fitting of flow and drawdown measurements.
Main Results:
- Confirmed the approximate solution by Mishra and Guyonnet (1992).
- The exponential integral-based flowing well function offers a computationally effective alternative.
- Simultaneous fitting of flow and drawdown data yielded more accurate and better-resolved aquifer property estimates compared to flow data alone.
Conclusions:
- The derived analytical solution provides a robust method for analyzing groundwater flow to wells.
- Simultaneous analysis of flow rate and drawdown significantly enhances the reliability of aquifer characterization.
- This approach offers practical benefits for hydrogeological investigations and groundwater resource assessment.
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