Darcy’s model with optimized permeability distribution for the simulation of Stokes flow and contaminant transport in karst aquifers

Jamal, Sarim; Awotunde, Abeeb A.

doi:10.1007/s10040-020-02124-y

Cited by 3 publications

(1 citation statement)

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“…Consequently, some approaches were developed to provide fairly accurate solutions while taking advantages of the computational inexpensiveness of the Darcy model. These include the sector modelling approach (Jamal and Awotunde 2018), the Darcy model with estimated permeability (DMEPD) approach (Youssef and Awotunde 2019), and the Darcy model with optimized permeability distribution (DMOPD) approach (Jamal and Awotunde 2020). The DMOPD approach works on the principle that the Darcy model can be made to mimic the velocity profile obtained using the Brinkman model by dividing the free-flow region into zones and then assigning different values of permeability to each zone.…”

Section: Introductionmentioning

confidence: 99%

Darcy model with optimized permeability distribution (DMOPD) approach for simulating two-phase flow in karst reservoirs

Jamal

Awotunde

2021

J Petrol Explor Prod Technol

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Darcy model fails to accurately model flow in karst reservoirs because the flow profiles in free-flow regions such as vugs, fractures and caves do not conform to Darcy’s law. Flows in karsts are often modelled using the Brinkman model. Recently, the DMOPD approach was introduced to reduce the complexity of modelling single-phase flow in Karst aquifers. Modelling two-phase flow using the Brinkman’s equation requires either a method of tracking the front or introducing the saturation component in the Brinkman’s equation. Both of these methods introduce further complexity to an already complex problem. We propose an alternative approach called the two-phase Darcy’s Model with optimized permeability distribution (TP-DMOPD) to model pressure and saturation distributions in karst reservoirs. The method is a modification to the DMOPD approach. Under the TP-DMOPD model, the caves are initially divided into zones and the permeability of each zone is estimated. During this stage of the TP-DMOPD model, the fluid inside the reservoir is assumed to be in a single-phase. Once the permeability distribution is obtained, the two-phase Darcy model is used to simulate flow in the reservoir. The example applications tested showed that the TP-DMOPD approach was able to model two-phase flow in karst reservoirs.

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Section: Introductionmentioning

confidence: 99%

Darcy model with optimized permeability distribution (DMOPD) approach for simulating two-phase flow in karst reservoirs

Jamal

Awotunde

2021

J Petrol Explor Prod Technol

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Management of Saltwater Intrusion in Coastal Karstic Aquifers under Geological Uncertainties Associated with Shapes and Locations of Cave Networks

Jamal

Awotunde

Patil

2022

J. Water Resour. Plann. Manage.

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Evaluation of Karst Spring Discharge Response Using Time-Scale-Based Methods for a Mediterranean Basin of Northern Algeria

Zerouali

Chettih

Alwetaishi

et al. 2021

Water

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Understanding of behavior, variability, and links between hydrological series is a key element for successful long-term water resources planning and management. In this study, various time-scale-based methods such as correlation and spectral analysis (CSA), cross wavelet (XWT), and wavelet coherence transform (WCT) were applied to assess the response of daily rainfall and karst spring discharge for the Sebaou River basin, which is located on Mediterranean basin in northern Algeria. The CSA revealed that the hydrogeological systems under study are characterized by various memory effect (small, poor, reduced, and extensive) with regularization times ranging from 5 to 50 day. XWT between rainfall and discharge time series indicates few marked disruptions in the spectra between the 1980s and 1990s corresponding to the dry period. The annual process is visible, dominant, and more amplified compared to the multi-annual fluctuations that characterize the 1-3- and 3–6-year modes, which explained the multi-annual regulation. The nonlinear relationship of the short-term components seems to be linked to the periods of storage (infiltration). Compared to the WCT components of 2–5, 26, and 52 weeks, there is a strong coherence for 102 weeks, which explains the long-term component, indicating a quasi-linearity of the rainfall-runoff relationship. According to the obtained results, the construction of more water resources structures is recommended to increase the water storage and improve the water supply due to the richness of the hydrographic network. On the other hand, the impacts of human activities on streamflow due to the looting of rocks and sands in the Sebaou River valleys have reached alarmingly high levels that require urgent intervention for the protection of water and ecological resources and their better rational use.

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Darcy’s model with optimized permeability distribution for the simulation of Stokes flow and contaminant transport in karst aquifers

Cited by 3 publications

References 50 publications

Darcy model with optimized permeability distribution (DMOPD) approach for simulating two-phase flow in karst reservoirs

Darcy model with optimized permeability distribution (DMOPD) approach for simulating two-phase flow in karst reservoirs

Management of Saltwater Intrusion in Coastal Karstic Aquifers under Geological Uncertainties Associated with Shapes and Locations of Cave Networks

Evaluation of Karst Spring Discharge Response Using Time-Scale-Based Methods for a Mediterranean Basin of Northern Algeria

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