Mathematical modeling of two-dimensional unconfined flow in aquifers

Waghmare, R. V.; Kiwne, S. B.

doi:10.15740/has/as/12.1and2/1-10

Cited by 6 publications

(7 citation statements)

References 7 publications

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“…time that is the flow velocity and pressure are changing with time. For groundwater flow, the governing equation is the combination of Darcy's law and the principle of conservation of mass, thus, combining these two principles gives the general groundwater flow equation, which is a partial differential equation (Atangana and Botha, 2013), (Waghmare, 2016), (Wang and Zheng, 2015). Hence, the objective of this paper was to evaluate the mathematical modeling of transient and steady-state groundwater flow in a confined aquifer.…”

Section: Shittu M T; Usman M A; Ariyo S Omentioning

confidence: 99%

“…To develop models, it is helpful to first understand the general equation and how it is related to the underlying physical principles. The general equation has several different forms depending on whether the flow is saturated or unsaturated, two-dimensional or three-dimensional, isotropic or anisotropic, and transient or steady state (Waghmare, 2016). According Nkurunziza et al (2014), one needs hydrological inputs, hydraulic parameters, and initial and boundary conditions for the calculations in groundwater modeling.…”

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confidence: 99%

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Mathematical Modeling of Transient and Steady-State Groundwater Flow in a Confined Aquifer

Shittu,

Usman,

Ariyo

2024

jasem

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Groundwater flow problems can be expressed mathematically with the employ of partial differential equations and which could be solved analytically or numerically. The results obtained showed that the direction of flow of groundwater is from a region of higher hydraulic head to a lower hydraulic head, and that pumping groundwater from the well faster than it is recharged leads to dry wells. The numerical methods used for the analysis of Transient and steady-state groundwater flow produced efficient, effective and accurate solution and can be used for all real-life problems.

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Section: Shittu M T; Usman M A; Ariyo S Omentioning

confidence: 99%

mentioning

confidence: 99%

Mathematical Modeling of Transient and Steady-State Groundwater Flow in a Confined Aquifer

Shittu,

Usman,

Ariyo

2024

jasem

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“…Based on the above spectral characteristics of Cyanophyta pollutants in Chaohu Lake, decision-making tree algorithm is used to construct classifier and identify Cyanophyta pollutants in Chaohu Lake. As a machine learning algorithm, decision-making tree is a tree structure similar to flow chart [11]. In a decision-making tree, because the top node of the tree represents the root of the tree, it is called root node; containing all the data to be analyzed, the root node is a data set; branch nodes in the internal structure of the decision-making tree represent the best test for an attribute, and each branch represents the taxonomic structure; the tree structure also includes leaves, namely, leaf nodes that represent categories [12].…”

Section: Identification Of Cyanobacterial Pollutants Because This Pap...mentioning

confidence: 99%

Design of Computational Model for Cyanobacterial Pollutant Diffusion Change in Chaohu Lake of China Based on Large Data

Yao

2020

Discrete Dynamics in Nature and Society

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Cyanobacteria in Chaohu Lake multiply rapidly and diffuse in large quantities every summer, which has a serious impact on the normal life of the surrounding residents and the local economic development. Therefore, it is urgent to control the cyanobacterial pollutants in Chaohu Lake. In this context, in order to improve the scientificalness and feasibility of control measures, it is an important prerequisite and condition to grasp the change of cyanobacterial pollutant diffusion in Chaohu Lake. For this reason, a computational model for cyanobacterial pollutant diffusion in Chaohu Lake, China, was designed based on the relevant large data. The design of the model is divided into three parts: the first part builds an area calculation model to analyze the change of cyanobacterial pollutant diffusion area; the second part builds a concentration calculation model to analyze the change of cyanobacterial pollutant concentration; and the third part combines the previous two to build a diffusion change calculation model to analyze the rule of cyanobacterial pollutant diffusion change in Chaohu Lake. In order to verify the feasibility and validity of the model, simulation experiments were carried out. The results show that, under the large data related to cyanobacteria pollution in Chaohu Lake, China, from May to August 2017, the calculation model is used to calculate the cyanobacteria pollutant diffusion change. The data obtained are basically consistent with the actual situation, which proves the feasibility and validity of the model. This provides data support for the cyanobacteria pollution control in Chaohu Lake and improves the efficiency and effect of the control.

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“…Several findings on drinking water show that drinking water quality is a global concern, as contaminated and inadequate water sources, coupled with inadequate sanitation practices, contribute to various human diseases (Idris et al, 2019;Siddiqua et al, 2019;Waghmare & Kiwne, 2017;Marusic, 2013)…”

Section: Introductionmentioning

confidence: 99%

A Mathematical Model for Water Quality Assessment: Evidence-Based from Selected Boreholes in Federal University Dutse, Nigeria

Eguda,

Amoo,

Adamu

et al. 2023

USci

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The present study assessed the quality of water sampled from different boreholes on the campus of Federal University Dutse, Nigeria, using a mathematical modelling approach. A model for estimating water quality was developed based on physicochemical parameters such as pH, electrical conductivity, temperature, turbidity, and total hardness measured from each borehole. The correlation analysis of physicochemical data indicates a strong correlation of about 99% between the real-life data collected from six (6) different boreholes and the model’s predictions. From the results, the sensitivity analysis revealed that electrical conductivity plays the highest role in determining water quality, followed by total hardness, temperature has the third highest impact, followed by turbidity, the fourth, and pH has the least impact in determining water quality in the listed boreholes. Therefore, in any case of intervention, the water quality regulatory body should be sent regularly to the tertiary institutions in the state for routine check-ups.

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Mathematical modeling of two-dimensional unconfined flow in aquifers

Cited by 6 publications

References 7 publications

Mathematical Modeling of Transient and Steady-State Groundwater Flow in a Confined Aquifer

Mathematical Modeling of Transient and Steady-State Groundwater Flow in a Confined Aquifer

Design of Computational Model for Cyanobacterial Pollutant Diffusion Change in Chaohu Lake of China Based on Large Data

A Mathematical Model for Water Quality Assessment: Evidence-Based from Selected Boreholes in Federal University Dutse, Nigeria

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