Study on the detection of groundwater boundary based on the Trefftz method

Yan Su, Bin Huang, Lingjun Yang, Xiaohe Lai (), Chuan Lin, Xiudong Xie and Lidan Hong
Additional contact information
Yan Su: Fuzhou University
Bin Huang: Fuzhou University
Lingjun Yang: Fuzhou University
Xiaohe Lai: Fuzhou University
Chuan Lin: Fuzhou University
Xiudong Xie: Fuzhou University
Lidan Hong: Fujian University of Technology

Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, 2024, vol. 120, issue 8, No 43, 8057-8085

Abstract: Abstract Detecting water head is crucial in groundwater utilization, and requires quick and accurate solutions. This study employs a method combining the collocation Trefftz method (CTM) and the fictitious time integration method (FTIM) for groundwater head detection and restoration. The Laplace equation is solved using CTM, and the Trefftz basis function is linearly combined to fit the exact solution while adding characteristics length for numerical stability. The FTIM solves the nonlinear algebraic equations system for water head detection. Numerical examples quantify the method's accuracy, and boundary restoration results are compared with the Picard successive approximation method, showcasing FTIM's advantages in convergence steps and precision. The solution comparison under irregular boundary conditions further verifies the proposed method's efficacy (MAE ≤ 10–15). The CTM–FTIM calculated water level boundary aligns with the actual boundary, and its noise immunity is verified using real observation well data (MAE ≤ 10–2, Itertimes ≤ 5000). The CTM–FTIM method eliminates meshing needs for quick solutions in irregular regions, accurately determining water levels in the study domain using few known boundary points, solving infinite domain groundwater head detection.

Keywords: Fictitious time integration method; Groundwater head detection recovery; Noise immunity; Observation well data; Trefftz method (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11069-024-06534-z Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:nathaz:v:120:y:2024:i:8:d:10.1007_s11069-024-06534-z

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/11069

DOI: 10.1007/s11069-024-06534-z

Access Statistics for this article

Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards is currently edited by Thomas Glade, Tad S. Murty and Vladimír Schenk

More articles in Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards from Springer, International Society for the Prevention and Mitigation of Natural Hazards
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().