Stochastic groundwater flow models in confined and leaky aquifers

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dc.contributor.advisorAtangana, Abdon
dc.contributor.authorAmakali, Sarti Rautia
dc.date.accessioned2019-12-05T10:30:00Z
dc.date.available2019-12-05T10:30:00Z
dc.date.issued2019-06
dc.description.abstractThis dissertation proposes an application of stochastic modeling of groundwater flow in confined and leaky aquifers. We are estimating that aquifer parameters such as transmissivity, storativity and leakage factor vary, not constant, in space at different period especially in heterogeneous environment. Heterogeneous environment are known to be complex because of their uncertainty. Uncertainty referred in modeling includes errors in dataset, which might be bias or variance (under fitting/over fitting), low or not enough data, or unbalanced data, which all affect the model produced if not captured with appropriate model technique. The groundwater flow equation for confined and leaky aquifers derived by the latest version Atangana and Ramotsho, as well asAtangana and Mathobo, which all include scaling matrix of the soil, are considered and further modified to a new scheme of stochastic models for confined and leaky aquifer. We tried to achieve the capture statistical setting of aquifer parameters using the concept of stochastic modeling technique. The aquifer parameters are replaced by distribution for instance, Gaussian or normal distribution.Due to the complexity of the modified models, it is almost impossible to obtain the exact solution by using analytical solution, thus we opt to numerical analysis, in particular the Newton method used to derive the numerical solutions of the modified models. Detailed analysis of stability and convergences, we used method are presented for both models. Numerical simulations are depicted for different distributions.en_ZA
dc.identifier.urihttp://hdl.handle.net/11660/10373
dc.language.isoenen_ZA
dc.publisherUniversity of the Free Stateen_ZA
dc.rights.holderUniversity of the Free Stateen_ZA
dc.subjectDissertation (M.Sc. (Geohydrology))--University of the Free State, 2019en_ZA
dc.subjectArithmetic meanen_ZA
dc.subjectComplex environmenten_ZA
dc.subjectConfined aquiferen_ZA
dc.subjectCrank Nicholsonen_ZA
dc.subjectDeterministicen_ZA
dc.subjectDiscretizationen_ZA
dc.subjectDistributionen_ZA
dc.subjectFirst order derivativeen_ZA
dc.subjectGeometric meanen_ZA
dc.subjectGroundwater flow modelen_ZA
dc.subjectHarmonic meanen_ZA
dc.subjectHeterogeneityen_ZA
dc.subjectLeakageen_ZA
dc.subjectLeaky aquiferen_ZA
dc.subjectNewton methoden_ZA
dc.subjectNumerical simulationen_ZA
dc.subjectSecond order derivativeen_ZA
dc.subjectStabilityen_ZA
dc.subjectStatisticen_ZA
dc.subjectSteady state flowen_ZA
dc.subjectStochastic modelen_ZA
dc.subjectStorativityen_ZA
dc.subjectTransmissivityen_ZA
dc.subjectUnsteady state flowen_ZA
dc.titleStochastic groundwater flow models in confined and leaky aquifersen_ZA
dc.typeDissertationen_ZA
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Masters Degrees (Institute for Groundwater Studies (IGS))