Stochastic modelling of groundwater flow and solute transport in aquifers

Yeh, Tian Chyi Jim

doi:10.1002/hyp.3360060402

Cited by 61 publications

(5 citation statements)

References 58 publications

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“…The kriging superposition approach (KSA) was used in this study 37,38 . The first step is based on the kriging method to estimate the parameters of each unknown point across the reservoir using the reservoir's accurate permeability data, which can be obtained by assuming that the number of sampling points i is n :

\begin{equation} \mathop \sum \limits_j {\lambda }_{0i}C\left( {{x}_i,{x}_i} \right) = C\left( {{x}_i,{x}_m} \right)\end{equation}

…”

Section: Methodsmentioning

confidence: 99%

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Reciprocal cross‐correlation analysis of two‐phase seepage processes and reservoir heterogeneities in CO₂ saline aquifer sequestration

Zhong,

Li,

et al. 2024

Greenhouse Gases

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When CO2 saline aquifer storage is carried out, the heterogeneity of reservoir rock is an important factor affecting CO2 transport, and the reservoir heterogeneity in numerical simulations is mainly manifested as the heterogeneity of the parameter field. Since the parameter distributions across the reservoir are not available with the existing probes, the stochastic finite element method is combined with a two‐phase flow model to establish an unconditional random field of permeability, and computations are performed using the Monte Carlo method. The permeability, CO2 maximum migration distance (Md) and CO2 sweep area (Sa) were analyzed for mutual correlation. The permeability correlation area affecting Md and Sa was obtained, and the changes in the correlation area under the coefficient of variation (Cv) and correlation length (λx) of the permeability field in the different reservoirs were analyzed. The kriging superposition approach (KSA) was subsequently used to estimate both the Md and Sa of the target reservoir by establishing conditional random fields based on the sampling parameters in regions with different correlations, resulting in errors of 0.66% for Md and 0.96% for Sa in the high correlation region and 4.86% and 3.12% for Md and Sa in the low correlation region, which suggested that the sampling results from the high correlation region were less biased in the estimation. Under limited sampling conditions, it is recommended that samples be collected in regions with high correlations to reduce the uncertainty of CO2 transport analysis due to unknown heterogeneity. © 2024 Society of Chemical Industry and John Wiley & Sons, Ltd.

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\begin{equation} \mathop \sum \limits_j {\lambda }_{0i}C\left( {{x}_i,{x}_i} \right) = C\left( {{x}_i,{x}_m} \right)\end{equation}

…”

Section: Methodsmentioning

confidence: 99%

“…The kriging superposition approach (KSA) was used in this study. 37,38 The first step is based on the kriging method to estimate the parameters of each unknown point across the reservoir using the reservoir's accurate permeability data, which can be obtained by assuming that the number of sampling points i is n:…”

Section: Conditional Random Fieldmentioning

confidence: 99%

Reciprocal cross‐correlation analysis of two‐phase seepage processes and reservoir heterogeneities in CO₂ saline aquifer sequestration

Zhong,

Li,

et al. 2024

Greenhouse Gases

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“…Second, limited knowledge of the hydrogeological parameter values, typically due to the limited availability of suitable observations (Jim Yeh, 1992;Li et al, 2003). Beyond, these uncertainties inevitably propagate throughout the model calculations, mainly reducing the reliability of the model output.…”

Section: Introductionmentioning

confidence: 99%

Ensemble modeling of the two-dimensional stochastic confined groundwater flow through the evolution of the hydraulic head's probability density function

Meza¹,

Kavvas²

2023

Preprint

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Groundwater storage in aquifers has become a vital water source due to water scarcity in recent years. However, aquifer systems are full of uncertainties, which inevitably propagate throughout the modeling computations, mainly reducing the reliability of the model output. This study develops a novel two-dimensional stochastic confined groundwater flow model. The proposed model is developed by linking the stochastic governing partial differential equations by means of their one-to-one correspondence to the nonlocal Lagrangian-Eulerian extension to the Fokker-Planck equation (LEFPE). In the form of the LEFPE, the resulting deterministic governing equation describes the spatio-temporal evolution of the probability density function of the state variables in the confined groundwater flow process by one single numerical realization instead of requiring thousands of simulations in the Monte Carlo approach. Consequently, the ensemble groundwater flow process's mean and standard deviation behavior can be modeled under uncertainty in the transmissivity field and recharge and/or pumping conditions. In addition, an appropriate numerical method for LEFPE's solution is subsequently devised. Then, its solution is presented, discussed, and illustrated through a numerical example, which is compared against the results obtained by means of the Monte Carlo simulations. Results suggest that the proposed model appropriately characterizes the ensemble behavior in confined groundwater systems under uncertainty in the transmissivity field.

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“…Accurate simulations are crucial for basin-scale groundwater sustainable management (e.g., Cao et al, 2013;F. Liu et al, 2018;Yeh, 1992), and they require comprehensive knowledge of aquifer heterogeneity, boundary condition, and initial condition (H.-J. Liu et al, 2009).…”

Section: Introductionmentioning

confidence: 99%

Potential of Hydraulic Tomography in Identifying Boundary Conditions of Groundwater Basins

Liu

Yeh

Wang

et al. 2020

Water Resources Research

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This study investigates the potential of hydraulic tomography (HT) in identifying the boundary conditions of groundwater basins using numerical experiments. The experiment mimics the scenario of groundwater exploitation reduction in a pilot area of groundwater overexploitation control in the North China Plain. In this study, we propose an approach that integrates the HT concept and readily available groundwater monitoring data to identify the constant head and impermeable boundaries by mapping anomalously high-and low-permeability zones from HT surveys in a large-scale domain that encompasses the true groundwater basin. The resulting boundaries and conditions were then used in inversion of steady-state and transient-state simultaneous pumping tests and HT surveys of heterogeneity within the groundwater basin. The inversion results demonstrated significant advantages of HT surveys over multiple simultaneous pumping tests to identify boundary conditions and heterogeneity in the groundwater basin. Moreover, steady HT inversion outperforms transient HT inversion in capturing the true boundary conditions, leading to the better T estimates from steady HT inversion than those from transient HT inversion. Additionally, the study shows that accurate geological zonation information can significantly improve HT parameter estimations.

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Stochastic modelling of groundwater flow and solute transport in aquifers

Cited by 61 publications

References 58 publications

Reciprocal cross‐correlation analysis of two‐phase seepage processes and reservoir heterogeneities in CO₂ saline aquifer sequestration

Reciprocal cross‐correlation analysis of two‐phase seepage processes and reservoir heterogeneities in CO₂ saline aquifer sequestration

Ensemble modeling of the two-dimensional stochastic confined groundwater flow through the evolution of the hydraulic head's probability density function

Potential of Hydraulic Tomography in Identifying Boundary Conditions of Groundwater Basins

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Stochastic modelling of groundwater flow and solute transport in aquifers

Cited by 61 publications

References 58 publications

Reciprocal cross‐correlation analysis of two‐phase seepage processes and reservoir heterogeneities in CO2 saline aquifer sequestration

Reciprocal cross‐correlation analysis of two‐phase seepage processes and reservoir heterogeneities in CO2 saline aquifer sequestration

Ensemble modeling of the two-dimensional stochastic confined groundwater flow through the evolution of the hydraulic head's probability density function

Potential of Hydraulic Tomography in Identifying Boundary Conditions of Groundwater Basins

Contact Info

Product

Resources

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Reciprocal cross‐correlation analysis of two‐phase seepage processes and reservoir heterogeneities in CO₂ saline aquifer sequestration

Reciprocal cross‐correlation analysis of two‐phase seepage processes and reservoir heterogeneities in CO₂ saline aquifer sequestration