scholarly journals Numerical solution of steady-state groundwater flow and solute transport problems: Discontinuous Galerkin based methods compared to the Streamline Diffusion approach

2015 ◽  
Vol 294 ◽  
pp. 331-358 ◽  
Author(s):  
A.Q.T. Ngo ◽  
P. Bastian ◽  
O. Ippisch
Keyword(s):  
Steady State ◽  
Groundwater Flow ◽  
Solute Transport ◽  
Numerical Solution ◽  
Discontinuous Galerkin ◽  
Streamline Diffusion ◽  
Transport Problems

Predicting Groundwater Flow and Solute Transport in the Heterogeneous Aquifer Sandbox Using Different Parameter Estimation Methods

2021 ◽  
Author(s):  
Liqun Jiang ◽  
Ronglin Sun ◽  
Xing Liang
Keyword(s):  
Steady State ◽  
Groundwater Flow ◽  
Solute Transport ◽  
Transport Process ◽  
Homogeneous Model ◽  
Estimation Methods ◽  
Aquifer Heterogeneity ◽  
Heterogeneous Aquifer ◽  
Tracer Distribution ◽  
Parameter Estimation Methods

<p>Protection and management of groundwater resources demand high-resolution distributions of hydraulic parameters (e.g., hydraulic conductivity (K) and specific storage (Ss)) of aquifers. In the past, these parameters were obtained by traditional analytical solutions (e.g., Theis (1935) or Cooper and Jacob (1946)). However, traditional methods assume the aquifer to be homogeneous and yield the equivalent parameter, which are averages over a large volume and are insufficient for predicting groundwater flow and solute transport process (Butler & Liu, 1993). For obtaining the aquifer heterogeneity, some scholars have used kriging (e.g., Illman et al., 2010) and hydraulic tomography (HT) (e.g., Yeh & Liu, 2000; Zhu & Yeh, 2005) to describe the K distribution.</p><p>In this study, the laboratory heterogeneous aquifer sandbox is used to investigate the effect of different hydraulic parameter estimation methods on predicting groundwater flow and solute transport process. Conventional equivalent homogeneous model, kriging and HT are used to characterize the heterogeneity of sandbox aquifer. A number of the steady-state head data are collected from a series of single-hole pumping tests in the lab sandbox, and are then used to estimate the K fields of the sandbox aquifer by the steady-state inverse modeling in HT survey which was conducted using the SimSLE algorithm (Simultaneous SLE, Xiang et al., 2009), a built-in function of the software package of VSAFT2. The 40 K core samples from the sandbox aquifer are collected by the Darcy experiments, and are then used to obtain K fields through kriging which was conducted using the software package of Surfer 13. The role of prior information on improving HT survey is then discussed. The K estimates by different methods are used to predict the process of steady-state groundwater flow and solute transport, and evaluate the merits and demerits of different methods, investigate the effect of aquifer heterogeneity on groundwater flow and solute transport.</p><p>According to lab sandbox experiments results, we concluded that compared with kriging, HT can get higher precision to characterize the aquifer heterogeneity and predict the process of groundwater flow and solute transport. The 40 K fields from the K core samples are used as priori information of HT survey can promote the accuracy of K estimates. The conventional equivalent homogeneous model cannot accurately predict the process of groundwater flow and solute transport in heterogeneous aquifer. The enhancement of aquifer heterogeneity will lead to the enhancement of the spatial variability of tracer distribution and migration path, and the dominant channel directly determines the migration path and tracer distribution.</p>

Analytical solution for monovalent-divalent ion exchange transport in groundwater

1999 ◽  
Vol 36 (6) ◽  
pp. 1197-1201 ◽  
Author(s):  
Yee-Chung Jin ◽  
Songlin Ye
Keyword(s):  
Ion Exchange ◽  
Analytical Solution ◽  
Groundwater Flow ◽  
Coordinate System ◽  
Solute Transport ◽  
Numerical Solution ◽  
Approximate Analytical Solution ◽  
Initial Conditions ◽  
Direct Integration ◽  
Advection Velocity

An approximate analytical solution is derived for solute transport with monovalent-divalent ion exchange in saturated, steady, groundwater flow. The analytical solution is obtained by simplifying the complicated heterovalent ion exchange. Using a coordinate system that moves at the average solute advection velocity, a solution is obtained by direct integration with given boundary and initial conditions. The results agree well with a numerical solution using the original isotherm. The analytical solution presented is similar to that of monovalent-monovalent exchange, which suggests that a simple ion exchange model may be assumed for approximation.

scholarly journals An incomplete factorization technique for fast numerical solution of steady-state groundwater flow problems

2005 ◽  
Vol 44 (3) ◽  
pp. 275-282
Author(s):  
V. Sabinin
Keyword(s):  
Steady State ◽  
Groundwater Flow ◽  
Numerical Solution ◽  
Incomplete Factorization ◽  
Flow Problems ◽  
Factorization Technique

Se presenta una técnica nueva iterativa para resolver ecuaciones de diferencias finitas en problemas estables de hidrodinámica subterránea.

New Finite Volume–Multiscale Finite-Element Model for Solving Solute Transport Problems in Porous Media

2021 ◽  
Vol 26 (3) ◽  
pp. 04021002
Author(s):  
Yifan Xie ◽  
Zhenze Xie ◽  
Jichun Wu ◽  
Yong Chang ◽  
Chunhong Xie ◽  
...  
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Finite Element Model ◽  
Solute Transport ◽  
Finite Volume ◽  
Element Model ◽  
Multiscale Finite Element ◽  
Transport Problems

Effect of Viscous Dissipation on MHD Williamson Nanofluid Flow in a Porous Medium

2019 ◽  
Vol 8 (3) ◽  
pp. 5795-5802 ◽  
Keyword(s):  
Porous Medium ◽  
Steady State ◽  
Numerical Solution ◽  
Viscous Dissipation ◽  
Flow Problem ◽  
Numerical Study ◽  
Steady State Flow ◽  
Nanofluid Flow ◽  
Shooting Technique ◽  
Order Four

The main objective of this paper is to focus on a numerical study of viscous dissipation effect on the steady state flow of MHD Williamson nanofluid. A mathematical modeled which resembles the physical flow problem has been developed. By using an appropriate transformation, we converted the system of dimensional PDEs (nonlinear) into coupled dimensionless ODEs. The numerical solution of these modeled ordinary differential equations (ODEs) is achieved by utilizing shooting technique together with Adams-Bashforth Moulton method of order four. Finally, the results of discussed for different parameters through graphs and tables.

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