The Boussinesq equation describes the model for horizontal water flow in unconfined aquifers without precipitation, a topic that has been extensively studied in the literature. However, the parameters, as well as the initial and boundary conditions, are often assumed to be exact. In reality, these conditions may be incomplete or uncertain due to limited knowledge, insufficient information, or errors introduced by humans or machines. The fuzzy set theory has recently been successfully employed to model such uncertainties. This article investigates the analytical solution of the one-dimensional Boussinesq equation in a fuzzy environment. The objective of this research is to investigate the recharge and discharge of a semi-infinite unconfined aquifer adjacent to a lake. For the present investigation, uncertainties in terms of fuzzy are considered only for the involved initial and boundary conditions of the problem, whereas other parameters are considered as crisp or exact. The analysis employed the double parametric form of a fuzzy number alongside Laplace transform techniques. The obtained solutions were then compared with existing results in specific cases to validate their accuracy.
Skip Nav Destination
Article navigation
November 2024
Research Article|
November 08 2024
Double parametric based solution of fuzzy unconfined aquifer problem using Laplace transforms method
Special Collection:
Flow and Climate
Mrutyunjaya Sahoo
;
Mrutyunjaya Sahoo
a)
(Conceptualization, Investigation, Methodology, Software, Validation, Visualization, Writing – original draft)
1
Department of Mathematics, National Institute of Technology Rourkela
, Rourkela 769008, India
a)Author to whom correspondence should be addressed: [email protected]
Search for other works by this author on:
Diptiranjan Behera
;
Diptiranjan Behera
b)
(Conceptualization, Investigation, Methodology, Supervision, Validation, Visualization, Writing – original draft, Writing – review & editing)
2
Department of Mathematics, The University of the West Indies
, Mona Campus, Kingston, Jamaica
Search for other works by this author on:
S. Chakraverty
S. Chakraverty
c)
(Investigation, Supervision, Validation, Writing – review & editing)
1
Department of Mathematics, National Institute of Technology Rourkela
, Rourkela 769008, India
Search for other works by this author on:
a)Author to whom correspondence should be addressed: [email protected]
b)
Electronic mail: [email protected]
c)
Electronic mail: [email protected]
Physics of Fluids 36, 112109 (2024)
Article history
Received:
August 27 2024
Accepted:
October 23 2024
Citation
Mrutyunjaya Sahoo, Diptiranjan Behera, S. Chakraverty; Double parametric based solution of fuzzy unconfined aquifer problem using Laplace transforms method. Physics of Fluids 1 November 2024; 36 (11): 112109. https://doi.org/10.1063/5.0235448
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
51
Views
Citing articles via
On Oreology, the fracture and flow of “milk's favorite cookie®”
Crystal E. Owens, Max R. Fan (范瑞), et al.
Physics-informed neural networks for solving Reynolds-averaged Navier–Stokes equations
Hamidreza Eivazi, Mojtaba Tahani, et al.
Chinese Academy of Science Journal Ranking System (2015–2023)
Cruz Y. Li (李雨桐), 李雨桐, et al.
Related Content
A semi-analytical solution for transient confined-unconfined flow toward the partially penetrating well
Physics of Fluids (April 2024)
Modeling of hydrological drawdown caused by pumping for unconfined, confined, and half-confined aquifers
AIP Conference Proceedings (April 2015)
Groundwater hydrodynamics modeling based on water table deliniation in unconfined aquifer zone
AIP Conf. Proc. (October 2023)
Asymptotic method for flow in unconfined aquifers
Phys. Fluids (January 1980)
Aquifer characterization using the geoelectric method
AIP Conf. Proc. (August 2024)