Analytical Solution for the Steady Seepage Field of a Circular Cofferdam in Nonhomogeneous Layered Soil
Publication: Journal of Hydraulic Engineering
Volume 150, Issue 6
Abstract
The analytical solution of the steady-state seepage field of a circular cofferdam in nonhomogeneous layered soil of finite depth is derived, including the head function, exit hydraulic gradient formula, and seepage flow formula. The head function is obtained by dividing the circular cofferdam seepage field into regions and then using the separated variable method combined with the Sturm–Liouville theory, and the unknown coefficients in the head function are determined by constructing a system of equations through the integral transformation of the Bessel function. Based on the head function, an analytical equation is also given for the exit hydraulic gradient and seepage flow. The accuracy of the proposed analytical solution is verified by a comparison with numerical results as well as with the results of other methods. The proposed analytical solution is a display analytical solution without singularities and can be used as an effective tool for the analysis of circular cofferdam seepage problems.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
We thank AJE (china.aje.com) for its linguistic assistance during the preparation of this manuscript.
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Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 150 • Issue 6 • November 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Apr 26, 2023
Accepted: May 16, 2024
Published online: Jul 26, 2024
Published in print: Nov 1, 2024
Discussion open until: Dec 26, 2024
ASCE Technical Topics:
- Chemical properties
- Chemistry
- Coasts, oceans, ports, and waterways engineering
- Cofferdams
- Engineering mechanics
- Environmental engineering
- Geomechanics
- Geotechnical engineering
- Head (fluid mechanics)
- Homogeneity
- Hydraulic engineering
- Hydraulic gradients
- Hydraulic properties
- Hydraulic structures
- Hydraulics
- Layered soils
- Material mechanics
- Material properties
- Materials engineering
- Ports and harbors
- Seepage
- Soil analysis
- Soil mechanics
- Soil properties
- Soils (by type)
- Structural engineering
- Structures (by type)
- Water and water resources
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