Leading Edge Technology on Groundwater Flow

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Earth Sciences".

Deadline for manuscript submissions: closed (10 January 2022) | Viewed by 11181

Special Issue Editor

Special Issue Information

Dear Colleagues,

Fluid flow through porous materials is a complex phenomenon which generally covers a wide variety of engineering disciplines concerning theoretical research, fundamental studies, mathematical modeling, numerical simulations, and experimental investigations relating to any kind of current and emerging topics of groundwater flow.

In this Special Issue, we encourage submissions focusing on numerical methods, including meshless methods, conventional finite difference/element methods, and the radial basis function method for solving problems of groundwater flow.

We particularly welcome contributions that aim to seek to advance meshless methods for modeling groundwater flow. This Special Issue welcomes high-quality submissions of theory and/or simulation works which focus on both analytical and computational research, with an emphasis on contributions which increase the basic understanding of groundwater flow in porous materials and their application to engineering problems. This Special Issue is also open to review articles which describe the current state-of-the-art.

Potential topics include but are not limited to the following:

  1. Meshless methods (including boundary element methods, method of fundamental solutions, Trefftz method, general finite difference method, and radial basis function method) for modeling the behavior of groundwater flow;
  2. Offshore geophysical groundwater investigation or modeling;
  3. Coastal groundwater investigation or modeling;
  4. Inverse problems in groundwater flow;
  5. Parameter identification in groundwater flow;
  6. Analytical methods for solving problems of groundwater flow;
  7. Fluid flow and transfer in porous media;
  8. Applications of groundwater flow in engineering;
  9. Other topics on transport phenomena or heat and mass transfer in porous media.

Prof. Dr. Cheng-Yu Ku
Guest Editor

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Keywords

  • groundwater modeling
  • hydrogeology
  • meshless methods
  • numerical modeling
  • groundwater resources

Published Papers (6 papers)

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Research

21 pages, 12206 KiB  
Article
Solving Inverse Problems of Stationary Convection–Diffusion Equation Using the Radial Basis Function Method with Polyharmonic Polynomials
by Jing-En Xiao, Cheng-Yu Ku and Chih-Yu Liu
Appl. Sci. 2022, 12(9), 4294; https://doi.org/10.3390/app12094294 - 24 Apr 2022
Cited by 1 | Viewed by 1091
Abstract
In this article, the radial basis function method with polyharmonic polynomials for solving inverse problems of the stationary convection–diffusion equation is presented. We investigated the inverse problems in groundwater pollution problems for the multiply-connected domains containing a finite number of cavities. Using the [...] Read more.
In this article, the radial basis function method with polyharmonic polynomials for solving inverse problems of the stationary convection–diffusion equation is presented. We investigated the inverse problems in groundwater pollution problems for the multiply-connected domains containing a finite number of cavities. Using the given data on the part of the boundary with noises, we aim to recover the missing boundary observations, such as concentration on the remaining boundary or those of the cavities. Numerical solutions are approximated using polyharmonic polynomials instead of using the certain order of the polyharmonic radial basis function in the conventional polyharmonic spline at each source point. Additionally, highly accurate solutions can be obtained with the increase in the terms of the polyharmonic polynomials. Since the polyharmonic polynomials include only the radial functions. The proposed polyharmonic polynomials have the advantages of a simple mathematical expression, high precision, and easy implementation. The results depict that the proposed method could recover highly accurate solutions for inverse problems with cavities even with 5% noisy data. Moreover, the proposed method is meshless and collocation only such that we can solve the inverse problems with cavities with ease and efficiency. Full article
(This article belongs to the Special Issue Leading Edge Technology on Groundwater Flow)
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22 pages, 51733 KiB  
Article
Numerical Assessment of the Hybrid Approach for Simulating Three-Dimensional Flow and Advective Transport in Fractured Rocks
by Yun-Chen Yu, I-Hsien Lee, Chuen-Fa Ni, Yu-Hsiang Shen, Cong-Zhang Tong, Yuan-Chieh Wu and Emilie Lo
Appl. Sci. 2021, 11(22), 10792; https://doi.org/10.3390/app112210792 - 15 Nov 2021
Cited by 1 | Viewed by 1453
Abstract
This study presents a hybrid approach for simulating flow and advective transport dynamics in fractured rocks. The developed hybrid domain (HD) model uses the two-dimensional (2D) triangular mesh for fractures and tetrahedral mesh for the three-dimensional (3D) rock matrix in a simulation domain [...] Read more.
This study presents a hybrid approach for simulating flow and advective transport dynamics in fractured rocks. The developed hybrid domain (HD) model uses the two-dimensional (2D) triangular mesh for fractures and tetrahedral mesh for the three-dimensional (3D) rock matrix in a simulation domain and allows the system of equations to be solved simultaneously. This study also illustrates the HD model with two numerical cases that focus on the flow and advective transport between the fractures and rock matrix. The quantitative assessments are conducted by comparing the HD results with those obtained from the discrete fracture network (DFN) and equivalent continuum porous medium (ECPM) models. Results show that the HD model reproduces the head solutions obtained from the ECPM model in the simulation domain and heads from the DFN model in the fractures in the first case. The particle tracking results show that the mean particle velocity in the HD model can be 7.62 times higher than that obtained from the ECPM mode. In addition, the developed HD model enables detailed calculations of the fluxes at intersections between fractures and cylinder objects in the case and obtains relatively accurate flux along the intersections. The solutions are the key factors to evaluate the sources of contaminant released from the disposal facility. Full article
(This article belongs to the Special Issue Leading Edge Technology on Groundwater Flow)
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21 pages, 9215 KiB  
Article
Modeling Transient Flows in Heterogeneous Layered Porous Media Using the Space–Time Trefftz Method
by Cheng-Yu Ku, Li-Dan Hong, Chih-Yu Liu, Jing-En Xiao and Wei-Po Huang
Appl. Sci. 2021, 11(8), 3421; https://doi.org/10.3390/app11083421 - 11 Apr 2021
Cited by 7 | Viewed by 1347
Abstract
In this study, we developed a novel boundary-type meshless approach for dealing with two-dimensional transient flows in heterogeneous layered porous media. The novelty of the proposed method is that we derived the Trefftz space–time basis function for the two-dimensional diffusion equation in layered [...] Read more.
In this study, we developed a novel boundary-type meshless approach for dealing with two-dimensional transient flows in heterogeneous layered porous media. The novelty of the proposed method is that we derived the Trefftz space–time basis function for the two-dimensional diffusion equation in layered porous media in the space–time domain. The continuity conditions at the interface of the subdomains were satisfied in terms of the domain decomposition method. Numerical solutions were approximated based on the superposition principle utilizing the space–time basis functions of the governing equation. Using the space–time collocation scheme, the numerical solutions of the problem were solved with boundary and initial data assigned on the space–time boundaries, which combined spatial and temporal discretizations in the space–time manifold. Accordingly, the transient flows through the heterogeneous layered porous media in the space–time domain could be solved without using a time-marching scheme. Numerical examples and a convergence analysis were carried out to validate the accuracy and the stability of the method. The results illustrate that an excellent agreement with the analytical solution was obtained. Additionally, the proposed method was relatively simple because we only needed to deal with the boundary data, even for the problems in the heterogeneous layered porous media. Finally, when compared with the conventional time-marching scheme, highly accurate solutions were obtained and the error accumulation from the time-marching scheme was avoided. Full article
(This article belongs to the Special Issue Leading Edge Technology on Groundwater Flow)
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16 pages, 7292 KiB  
Article
Analysis of Flooding Adaptation and Groundwater Recharge After Adopting JW Ecological Technology in a Highly Developed Urbanization Area
by Kuo-Chen Ma, Mo-Hsiung Chuang and Tze-Yi Chan
Appl. Sci. 2021, 11(6), 2662; https://doi.org/10.3390/app11062662 - 16 Mar 2021
Cited by 3 | Viewed by 1863
Abstract
The relationship between Taiwan’s groundwater resources recharge strategy and flood disasters is significant. The adaptation strategies of traditional urbanization areas simulate the spatial distribution of permeable pavements under different rainfall intensities that affect surface runoff and infiltration. Since there are many parameters of [...] Read more.
The relationship between Taiwan’s groundwater resources recharge strategy and flood disasters is significant. The adaptation strategies of traditional urbanization areas simulate the spatial distribution of permeable pavements under different rainfall intensities that affect surface runoff and infiltration. Since there are many parameters of the Stormwater Management Model set in different low-impact development modules, this study refers to transform the inundation to groundwater recharge. In this study, we simulated the spatial distribution multi-advantages of the JW ecological technology under short-duration intense rainfall events. The results show that the application of JW ecological technology can effectively increase groundwater resources by 64.1% through infiltration and reduce economic losses by about NTD 1.25 million under the rainfall event of 112 mm/1 h. The infiltration replenishment amount was about 61%, which could reduce the economic loss of NTD 4.4 million under the rainfall event of 350 mm/6 h. Thus, applying JW ecological technology in a highly developed urbanization area can effectively reduce surface runoff and economic losses. At the same time, the issue of water resources was adapted by the groundwater recharge. Full article
(This article belongs to the Special Issue Leading Edge Technology on Groundwater Flow)
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25 pages, 6973 KiB  
Article
Numerical Modeling of Surface Water and Groundwater Interactions Induced by Complex Fluvial Landforms and Human Activities in the Pingtung Plain Groundwater Basin, Taiwan
by Quoc-Dung Tran, Chuen-Fa Ni, I-Hsien Lee, Minh-Hoang Truong and Chien-Jung Liu
Appl. Sci. 2020, 10(20), 7152; https://doi.org/10.3390/app10207152 - 14 Oct 2020
Cited by 5 | Viewed by 2769
Abstract
The landforms and human activities play important roles in quantifying surface water and groundwater interactions (SGIs) for water resources management. The study uses the groundwater and surface water flow (GSFLOW) model to quantify the dynamics of SGIs in the Pingtung Plain groundwater basin [...] Read more.
The landforms and human activities play important roles in quantifying surface water and groundwater interactions (SGIs) for water resources management. The study uses the groundwater and surface water flow (GSFLOW) model to quantify the dynamics of SGIs in the Pingtung Plain groundwater basin (PPGB) in southern Taiwan. Specifically, the study uses a physical-based numerical model to quantify the spatial and seasonal variations of water cycles influenced by complex fluvial landform conditions and human activities. Results of the model calibrations show good agreement with the data obtained from the available groundwater monitoring network and the selected stream stations. The basin-scale water budgets show highly nonuniform precipitation in the study area, and over 80% annual precipitation is from wet seasons in the PPGB. With high permeable surficial deposits in the PPGB, the year-averaged surface runoff and infiltration are approximately 57% and 40% of the total precipitation. The fluvial landforms with the high slope in the PPGB lead to 70% of annual surface runoff that becomes the streamflow, and the interflow dominates water interactions near streambeds. Results show that the interflow rate in the wet seasons is 200% more than that in the dry seasons. The net groundwater discharge to the streams is relatively small as compared to the interflow. Only 10% of the river flow is from the net groundwater discharge. In the PPGB, The pumping-induced variations of groundwater levels are insignificant as compared with the factor of the natural landforms. Because of the relatively small area of the proposed artificial lake, the contribution of the artificial lake on the local water budgets is insignificant, indicating the low impact of the artificial recharge lake on the surface water environment. Full article
(This article belongs to the Special Issue Leading Edge Technology on Groundwater Flow)
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14 pages, 749 KiB  
Article
Temporal Variability in the Response of a Linear Time-Invariant Catchment System to a Non-Stationary Inflow Concentration Field
by Ching-Min Chang, Kuo-Chen Ma and Mo-Hsiung Chuang
Appl. Sci. 2020, 10(15), 5356; https://doi.org/10.3390/app10155356 - 03 Aug 2020
Cited by 1 | Viewed by 1759
Abstract
Predicting the effects of changes in dissolved input concentration on the variability of discharge concentration at the outlet of the catchment is essential to improve our ability to address the problem of surface water quality. The goal of this study is therefore dedicated [...] Read more.
Predicting the effects of changes in dissolved input concentration on the variability of discharge concentration at the outlet of the catchment is essential to improve our ability to address the problem of surface water quality. The goal of this study is therefore dedicated to the stochastic quantification of temporal variability of concentration fields in outflow from a catchment system that exhibits linearity and time invariance. A convolution integral is used to determine the output of a linear time-invariant system from knowledge of the input and the transfer function. This work considers that the nonstationary input concentration time series of an inert solute to the catchment system can be characterized completely by the Langevin equation. The closed-form expressions for the variances of inflow and outflow concentrations at the catchment scale are derived using the Fourier–Stieltjes representation approach. The variance is viewed as an index of temporal variability. The closed-form expressions therefore allow to evaluate the impacts of the controlling parameters on the temporal variability of outflow concentration. Full article
(This article belongs to the Special Issue Leading Edge Technology on Groundwater Flow)
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