Research Article
Oct 1974
Invariant Imbedding and Unsteady Ground-Water Flow
Authors: Shin Chang and William W-G. Yeh, AM.ASCEAuthor Affiliations
Publication: Journal of the Hydraulics Division
Volume 100, Issue 10
Abstract
The invariant imbedding technique is used to find the unknown slope of the water table near the surface reservoir in a problem of unsteady ground-water flow into a surface reservoir in a large unconfined aquifer. The original nonlinear two-point boundary-value problem is transformed into an initial-value problem and an exact solution is obtained by the technique of quasilinearization. The invariant imbedding method involves no trial-and-error procedure and is easily programmed. This technique provides a useful tool in solving field problems and it becomes extremely powerful in solving a family of problems in which a set of unknown initial conditions are required to be determined from the corresponding given set of boundary conditions.
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Published In
Journal of the Hydraulics Division
Volume 100 • Issue 10 • October 1974
Pages: 1343 - 1352
Copyright
© 1974 American Society of Civil Engineers.
History
Published in print: Oct 1974
Published online: Feb 3, 2021
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Shin Chang
Postgraduate Research Engr., Engrg. Systems Dept., Univ. of California, Los Angeles, Calif
William W-G. Yeh, AM.ASCE
Assoc. Prof., Engrg. Systems Dept., Univ. of California, Los Angeles, Calif
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.