Relevance of solutions to the Navier-Stokes equations for explaining groundwater flow in fractured karst aquifers

Masciopinto, Costantino; Palmiotta, Domenico

doi:10.1002/wrcr.20279

Cited by 15 publications

(13 citation statements)

References 27 publications

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“…Pumping and/or injection tests carried out into Bari wells, allowed the identification of the average aperture of all fractures of the set at each well position in order to determine the experimental variogram of spatial aperture covariance. Experiments on model calibrations and validations have been extensively reported by Masciopinto [14], Masciopinto et al [13,15], and Masciopinto and Palmiotta [16]. The flow solution given by the flow model yields the freshwater discharge along the top border of domain.…”

Section: Methodsmentioning

confidence: 99%

“…In Equation (9) u* is the intermediate velocity whose value is based on the viscous stress. Equation (8) is then used in a finite difference model (FDM) [16] in order to estimate the pressure of water via a separate numerical calculation. In particular, the conjugate gradient numerical method was applied to solve Equation (8) in order to calculate the water pressure by forcing the flow divergence to zero.…”

Section: Advancement Of Saline Front In a Fracture Using N-smentioning

confidence: 99%

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A New Method to Infer Advancement of Saline Front in Coastal Groundwater Systems by 3D: The Case of Bari (Southern Italy) Fractured Aquifer

Masciopinto¹,

Palmiotta²

2016

Computation

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Abstract:A new method to study 3D saline front advancement in coastal fractured aquifers has been presented. Field groundwater salinity was measured in boreholes of the Bari (Southern Italy) coastal aquifer with depth below water table. Then, the Ghyben-Herzberg freshwater/saltwater (50%) sharp interface and saline front position were determined by model simulations of the freshwater flow in groundwater. Afterward, the best-fit procedure between groundwater salinity measurements, at assigned water depth of 1.0 m in boreholes, and distances of each borehole from the modelled freshwater/saltwater saline front was used to convert each position (x, y) in groundwater to the water salinity concentration at depth of 1.0 m. Moreover, a second best-fit procedure was applied to the salinity measurements in boreholes with depth z. These results provided a grid file (x, y, z, salinity) suitable for plotting the actual Bari aquifer salinity by 3D maps. Subsequently, in order to assess effects of pumping on the saltwater-freshwater transition zone in the coastal aquifer, the Navier-Stokes (N-S) equations were applied to study transient density-driven flow and salt mass transport into freshwater of a single fracture. The rate of seawater/freshwater interface advancement given by the N-S solution was used to define the progression of saline front in Bari groundwater, starting from the actual salinity 3D map. The impact of pumping of 335 L¨s´1 during the transition period of 112.8 days was easily highlighted on 3D salinity maps of Bari aquifer.

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Section: Methodsmentioning

confidence: 99%

Section: Advancement Of Saline Front In a Fracture Using N-smentioning

confidence: 99%

A New Method to Infer Advancement of Saline Front in Coastal Groundwater Systems by 3D: The Case of Bari (Southern Italy) Fractured Aquifer

Masciopinto¹,

Palmiotta²

2016

Computation

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“…The fundamental concept in function approximation in SPH method is based on the theory of integral interpolants using kernel or weight functions. In recent years, complex and practical problems have been investigated using SPH method such as gravity currents [21], non-Newtonian flows [35], wave impact on a tall structure [8], landslide waves [3], wave interactions with porous media [36], simulation of solitary wave fissions over uneven bottoms [12], groundwater flow in fractured karst aquifers [19], modeling of wave-perforated breakwater interaction [20], Eulerian simulation of internal flows [33], fluid-elastic structure interactions [11].…”

Section: Introductionmentioning

confidence: 99%

Modified incompressible SPH method for simulating free surface problems using highly irregular multi-resolution particle configurations

Shobeyri

Ardakani

2019

J Braz. Soc. Mech. Sci. Eng.

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In this study, the conventional incompressible smoothed particle hydrodynamics (I-SPH) formulations are modified to be applicable for highly irregular multi-resolution particle distributions for simulation of transient free surface flows. The modifications are based on distinguishing between particle density calculated by interpolation functions in SPH method and fluid density as a physical quantity. I-SPH is a fully Lagrangian method having great potential in dealing with large deformations of the free surface. Flow domain is discretized into a set of moving particles, and each particle carries mass, velocity and pressure during simulation time. Variations in these field parameters can be determined by temporal discretization of Navier-Stokes equation followed by a spatial discretization using I-SPH method. In addition to this, three pressure gradient models are employed for simulation of free surface flows to examine efficiency of the models coupled with the modifications. Furthermore, a simple and efficient method to find free surface particles which is compatible with highly irregular multiresolution particle distributions is proposed. The modified approach is tested against different free surface problems using highly irregular particle configurations. The classic pressure gradient model employed in SPH method coupled with constant smoothing distance gives accurate results with lower computational times over highly irregular particle distributions. The method can be applied for adaptive refinement strategy to reduce computational times of transient free surface problems.

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“…Rooij et al, 2013). Use of Navier-Stokes equations has also been examined (Masciopinto and Palmiotta, 2013).…”

Section: Introductionmentioning

confidence: 99%

Measurement and prediction of karstic spring flow rates

Darivianakis

Katsifarakis²,

Vafeiadis³

2015

Global NEST Journal

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This paper deals with prediction of the response of karstic springs by means of artificial neural networks (ANNs). A feed-forward back propagation ANN with three layers has been developed, to predict flow rates of two karstic springs, located at Rouvas area, Crete, Greece, using rainfall data as input. While the number of neurons of the input and output layers was determined by choice of data and desired output respectively, the number of neurons of the hidden layer was decided by means of numerous tests. Data used in ANN training and testing include daily and monthly precipitation depths (from September, 2006 to December, 2010) and measured flow rates of the two springs (from April, 2007 to December, 2010. Results show that the trained artificial neural network performed well, although flow rate measurements were not very regular. Moreover, the possibility of estimating the flow rate of one spring, based on measurements of the other has been investigated. Again the ANN gave satisfactory results. All spring flow rate and rainfall measurements are presented as an appendix, to facilitate further scientific research in the area of ANN application to water resources management.

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Relevance of solutions to the Navier-Stokes equations for explaining groundwater flow in fractured karst aquifers

Cited by 15 publications

References 27 publications

A New Method to Infer Advancement of Saline Front in Coastal Groundwater Systems by 3D: The Case of Bari (Southern Italy) Fractured Aquifer

A New Method to Infer Advancement of Saline Front in Coastal Groundwater Systems by 3D: The Case of Bari (Southern Italy) Fractured Aquifer

Modified incompressible SPH method for simulating free surface problems using highly irregular multi-resolution particle configurations

Measurement and prediction of karstic spring flow rates

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