Jyoti Vanikar - Academia.edu (original) (raw)
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Papers by Jyoti Vanikar
Journal of Engineering Research and Reports, 2021
Surface-groundwater interaction is a research area of significant importance for its central role... more Surface-groundwater interaction is a research area of significant importance for its central role in wastewater treatment, irrigation, drainage, flood control, erosion and sediment control. Mathematical models are often used for the estimation of surface-groundwater interactions under the variety of hydrological conditions. Due to cost effectiveness and ability to accommodate variations in aquifer parameters, mathematical models have gained immense importance in the past few decades. The objective of this review paper is to portray the contribution of the hydrologist towards the growing area of surface-ground water interaction from all over the world who proposed, analyzed, executed and validated the developed Mathematical models. To begin with, we briefly introduce the main mathematical equations that govern the flow of groundwater in unconfined and confined aquifer systems. The development of stream-aquifer models is presented in a chronological order to provide a clear understand...
Current Overview on Science and Technology Research Vol. 9, Nov 16, 2022
Journal of Engineering Research and Reports, 2021
Surface-groundwater interaction is a research area of significant importance for its central role... more Surface-groundwater interaction is a research area of significant importance for its central role in wastewater treatment, irrigation, drainage, flood control, erosion and sediment control. Mathematical models are often used for the estimation of surface-groundwater interactions under the variety of hydrological conditions. Due to cost effectiveness and ability to accommodate variations in aquifer parameters, mathematical models have gained immense importance in the past few decades. The objective of this review paper is to portray the contribution of the hydrologist towards the growing area of surface-ground water interaction from all over the world who proposed, analyzed, executed and validated the developed Mathematical models. To begin with, we briefly introduce the main mathematical equations that govern the flow of groundwater in unconfined and confined aquifer systems. The development of stream-aquifer models is presented in a chronological order to provide a clear understand...
International Journal of Future Generation Communication and Networking, 2020
This paper develops a mathematical model simulating time varying groundwater flow in an unconfine... more This paper develops a mathematical model simulating time varying groundwater flow in an unconfined aquifer overlying a sloping impervious bed. The aquifer is contacted with two streams, one of which has a constant water level and the other stream is rising form an initial level to a final level by a known exponentially function of time. The aquifer is also receiving vertical recharge at a constant rate. The flow is simulated by a nonlinear Boussinesq equation and its approximate analytical solution is obtained using Laplace transform method. Closed form analytical expressions are derived for hydraulic head distribution in the aquifer and flow rate at the stream-aquifer interface. The results derived in the study are illustrated with a numerical example.
This paper develops a mathematical model simulating time varying groundwater flow in an unconfine... more This paper develops a mathematical model simulating time varying groundwater flow in an unconfined aquifer overlying a sloping impervious bed. The aquifer is contacted with two streams, one of which has a constant water level and the other stream is rising form an initial level to a final level by a known exponentially function of time. The aquifer is also receiving vertical recharge at a constant rate. The flow is simulated by a nonlinear Boussinesq equation and its approximate analytical solution is obtained using Laplace transform method. Closed form analytical expressions are derived for hydraulic head distribution in the aquifer and flow rate at the stream-aquifer interface. The results derived in the study are illustrated with a numerical example.
Journal of Engineering Research and Reports, 2021
Surface-groundwater interaction is a research area of significant importance for its central role... more Surface-groundwater interaction is a research area of significant importance for its central role in wastewater treatment, irrigation, drainage, flood control, erosion and sediment control. Mathematical models are often used for the estimation of surface-groundwater interactions under the variety of hydrological conditions. Due to cost effectiveness and ability to accommodate variations in aquifer parameters, mathematical models have gained immense importance in the past few decades. The objective of this review paper is to portray the contribution of the hydrologist towards the growing area of surface-ground water interaction from all over the world who proposed, analyzed, executed and validated the developed Mathematical models. To begin with, we briefly introduce the main mathematical equations that govern the flow of groundwater in unconfined and confined aquifer systems. The development of stream-aquifer models is presented in a chronological order to provide a clear understand...
Current Overview on Science and Technology Research Vol. 9, Nov 16, 2022
Journal of Engineering Research and Reports, 2021
Surface-groundwater interaction is a research area of significant importance for its central role... more Surface-groundwater interaction is a research area of significant importance for its central role in wastewater treatment, irrigation, drainage, flood control, erosion and sediment control. Mathematical models are often used for the estimation of surface-groundwater interactions under the variety of hydrological conditions. Due to cost effectiveness and ability to accommodate variations in aquifer parameters, mathematical models have gained immense importance in the past few decades. The objective of this review paper is to portray the contribution of the hydrologist towards the growing area of surface-ground water interaction from all over the world who proposed, analyzed, executed and validated the developed Mathematical models. To begin with, we briefly introduce the main mathematical equations that govern the flow of groundwater in unconfined and confined aquifer systems. The development of stream-aquifer models is presented in a chronological order to provide a clear understand...
International Journal of Future Generation Communication and Networking, 2020
This paper develops a mathematical model simulating time varying groundwater flow in an unconfine... more This paper develops a mathematical model simulating time varying groundwater flow in an unconfined aquifer overlying a sloping impervious bed. The aquifer is contacted with two streams, one of which has a constant water level and the other stream is rising form an initial level to a final level by a known exponentially function of time. The aquifer is also receiving vertical recharge at a constant rate. The flow is simulated by a nonlinear Boussinesq equation and its approximate analytical solution is obtained using Laplace transform method. Closed form analytical expressions are derived for hydraulic head distribution in the aquifer and flow rate at the stream-aquifer interface. The results derived in the study are illustrated with a numerical example.
This paper develops a mathematical model simulating time varying groundwater flow in an unconfine... more This paper develops a mathematical model simulating time varying groundwater flow in an unconfined aquifer overlying a sloping impervious bed. The aquifer is contacted with two streams, one of which has a constant water level and the other stream is rising form an initial level to a final level by a known exponentially function of time. The aquifer is also receiving vertical recharge at a constant rate. The flow is simulated by a nonlinear Boussinesq equation and its approximate analytical solution is obtained using Laplace transform method. Closed form analytical expressions are derived for hydraulic head distribution in the aquifer and flow rate at the stream-aquifer interface. The results derived in the study are illustrated with a numerical example.