scholarly journals Application of Meshless local Petrov-Galerkin approach for steady state groundwater flow modeling

2022 ◽  
Author(s):  
Ali Mohtashami ◽  
Seyed Arman Hashemi Monfared ◽  
Gholamreza Azizyan ◽  
Abolfazl Akbarpour
Keyword(s):  
Steady State ◽  
Numerical Methods ◽  
Groundwater Flow ◽  
Unconfined Aquifer ◽  
Real Field ◽  
Flow Modeling ◽  
Governing Equations ◽  
The Third ◽  
Mlpg Method ◽  
Good Agreement

Abstract The complicated behavior of groundwater system in an arid aquifer is generally studied by solving the governing equations using either analytical or numerical methods. In this regard, analytical methods are just for some aquifers with regular boundaries. Numerical methods used for this aim are finite difference (FDM) and finite element methods (FEM) which are engaged for some simple aquifers. Using them in the complex cases with irregular boundaries has some shortcomings, depended on meshes. In this study, meshless local Petrov-Galerkin (MLPG) method based on the moving kriging (MK) approximation function is used to simulate groundwater flow in steady state over three aquifers, two standard and a real field aquifer. Moving kriging function known as new function which reduces the uncertain parameter. For the first aquifer, a simple rectangular aquifer, MLPG-MK indicates good agreement with analytical solutions. In the second one, aquifer conditions get more complicated. However, MLPG-MK reveals results more accurate than FDM. RMSE for MLPG-MK and FDM is 0.066 and 0.322 m respectively. In the third aquifer, Birjand unconfined aquifer located in Iran is investigated. In this aquifer, there are 190 extraction wells. The geometry of the aquifer is irregular as well. With this challenging issues, MLPG-MK again shows satisfactory accuracy. As the RMSE for MLPG-MK and FDM are 0.483 m and 0.566 m. therefore, planning for this aquifer based on the MLPG-MK is closer to reality.

Modeling of Groundwater Flow and Contaminant Transport in Two-Dimensional Geometries in an Unconfined Aquifer

2014 ◽  
Vol 1010-1012 ◽  
pp. 1023-1027
Author(s):  
Fouad Dimane ◽  
Issam Hanafi ◽  
Abdelouahad El Himri ◽  
Khadija Haboubi ◽  
Francisco Mata Cabrera ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Steady State ◽  
Groundwater Flow ◽  
Contaminant Transport ◽  
Cross Section ◽  
Flow System ◽  
Unconfined Aquifer ◽  
Two Dimensional ◽  
Groundwater Flow System ◽  
Subsurface Fluid

Models of groundwater flow are widely used for a variety of purposes ranging from water supply studies to designing contaminant cleanup. In general, groundwater flow system can be divided into steady-state and transient. In the present work, we investigate the usefulness of finite element method in modelling of steady-state subsurface fluid flow and transient solute transport along a vertical cross section in an unconfined aquifer. Details are explained on numerical approximations leading to different numerical results. Extensions for pollutant transport are mentioned.

scholarly journals Groundwater flow modeling in the basaltic hard rock area of Maharashtra, India

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Chaitanya B. Pande ◽  
Kanak N. Moharir ◽  
Sudhir Kumar Singh ◽  
Ahmed Elbeltagi ◽  
Quoc Bao Pham ◽  
...  
Keyword(s):  
Steady State ◽  
Groundwater Flow ◽  
Field Survey ◽  
Hard Rock ◽  
Groundwater Resources ◽  
Flow Modeling ◽  
Fractured Aquifer ◽  
Demand And Supply ◽  
Observation Wells ◽  
Flow Head

AbstractThe ecological sustainable development and planning of groundwater resources is an excessive challenge for many countries currently facing water insufficiency. The main focus of this work was to determine the direction of groundwater flow, head value, and water level using the steady-state finite difference model (MODFLOW software) in basaltic formations in Maharashtra, India. The MODFLOW model was integrated with ground data using Geographic Information System (GIS) for sustainable groundwater resource management in the hard rock terrain. The MODFLOW-2005 model simulated the interaction between heads and time in 2014–18 by steady-state conditions. In this present study, four observation wells were selected. During the field survey, four observation wells have been monitored regularly as per the Central Groundwater Board guidelines. MODFLOW software has been conceptualized as a double-layered rigid and fractured aquifer area feast over 18,312 m × 11,265 m area. This research demonstrates that the integration of GIS, conventional fieldwork, and mathematical model can  support to understand groundwater demand and supply in a better way.

scholarly journals A Steady-State Model to Simulate Groundwater Flow in Unconfined Aquifer

2020 ◽  
Vol 10 (8) ◽  
pp. 2708 ◽  
Author(s):  
Mauro Pagnozzi ◽  
Gianluca Coletta ◽  
Guido Leone ◽  
Vittorio Catani ◽  
Libera Esposito ◽  
...  
Keyword(s):  
Steady State ◽  
Groundwater Flow ◽  
Travel Time ◽  
Unconfined Aquifer ◽  
Numerical Code ◽  
Generic Model ◽  
Saturated Zone ◽  
Borehole Data ◽  
Time Period ◽  
Spring Catchment

The hydraulic and hydrogeological features of the Caposele aquifer have been investigated by using a numerical groundwater flow model. In particular, groundwater flow simulations were performed for a multilayered, unconfined aquifer in steady-state conditions for different thicknesses of the aquifer’s saturated zone. The Caposele groundwater model was carried out starting from a generic model drained by a unique spring outlet in accordance with the geo-hydrological features of the study area. The conceptual model was built considering hydrogeological features of spring catchment, and was then implemented with the MODFLOW numerical code. A combined 2D-3D approach was adopted, and the model was calibrated on borehole data available for the time period 2012–2019. Different thicknesses of the aquifer were set, and a reliable relationship was found between the hydraulic head, saturated zone and hydraulic conductivity of the aquifer. Using the MODPATH package, the mean travel time (Darcian) of groundwater was computed for five different scenarios, corresponding to the model’s depths; the analysis that was performed shows that the travel time is higher for a greater and lower for a smaller thickness of the aquifer’s saturated zone, respectively. The Caposele aquifer model was zoned in different sectors, named flow pipe areas, that play different roles in groundwater recharge-discharge processes. A vector analysis was also carried out in order to highlight the ascendant flow near the spring zone.

Groundwater Processes and Modelling - Part 6

1998 ◽  
Author(s):  
D Armstrong ◽  
K Narayan
Keyword(s):  
Steady State ◽  
Groundwater Flow ◽  
Model Calibration ◽  
Numerical Models ◽  
Inverse Modelling ◽  
Governing Equations ◽  
Geological Materials ◽  
Recent Developments ◽  
Modelling Techniques ◽  
Calibration Tool

This booklet outlines the properties of geological materials which enable them to accept, store and transmit groundwater, together with a description of the principal types of aquifer which are commonly found to occur in the field. Sources of groundwater are described in order to provide an understanding of the hydrogeological modelling exercise. The governing equations for steady state and non-steady state (transient) groundwater flow, are presented together with a brief overview of a range of modelling techniques, including both analytical and numerical models, the use of diffuse recharge as a model calibration tool and recent developments in the field of inverse modelling are also discussed.

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