Alternative relationships to enhance the applicability of nonlinear filtration models in porous media

Banerjee, Ashes; Jagupilla, Sarath Chandra K.; Pasupuleti, Srinivas; Annavarapu, Chandra Sekhara Rao

doi:10.1007/s11600-022-00950-0

Cited by 3 publications

(1 citation statement)

References 63 publications

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“…Ashes Banerjee et.al [26] found Coefficients of polynomial model were observed to be independent of the range of flow velocity, whereas the Power law coefficients are extremely sensitive to the data. Ashes Banerjee et.al [27] created a working model that can be used to predict flow in porous media under a variety of packing, fluid, and flow conditions.…”

Section: Literature Reviewmentioning

confidence: 99%

Resistance and Regime Relationship In Flow Through Porous Media Considering the Effects of Porosity, Wall and Tortuosity

Anjali,

Jyothy,

Kumar

2024

Preprint

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A reliable relationship between Resistance coefficient (λ) and Reynolds number (Re) which are primarily functions of characteristic length and characteristic velocity, proved to be a probable solution for many problems related to porous media flow. Due to intricate and tortuous structure of porous media, defining characteristic length and characteristic velocity is very complicate and hence expressed in terms of influencing parameters. This paper presents results of an experimental study on relationship between λ and Re with a special emphasis on characteristic length and characteristic velocity. Experimentation is carried out using a specially fabricated permeameter with water as fluid medium and seven sizes of coarse gravel, five sizes of river sand and three sizes of glass spheres as porous media. To make the findings more reliable, the expressions relating λ and Re are subjected to porosity, tortuosity and wall effect corrections.

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Section: Literature Reviewmentioning

confidence: 99%

Resistance and Regime Relationship In Flow Through Porous Media Considering the Effects of Porosity, Wall and Tortuosity

Anjali,

Jyothy,

Kumar

2024

Preprint

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Application of Artificial Intelligence and Machine Learning Technique for Nonlinear Flow Modelling Applicable in Petroleum Exploration and in Porous Media Flow

Banerjee,

Asha Rani

2024

Innovations in Sustainable Technologies and Computing

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Sediment size effects on non-Darcy flow: insights from Izbash equation and Forchheimer inertial coefficient analysis

Singh,

Camulli,

Bradley

2024

Hydrogeol J

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The transition from Darcy to non-Darcy flow regimes was investigated using column experiments. This revealed key relationships between sediment characteristics and critical thresholds for the onset of the non-Darcy flow regime, as well as inertial flow parameters. An exponential dependence of the critical Reynolds number (Rec) on hydraulic conductivity (K) and a linear dependence on sediment size (d50) was found. The analysis revealed a potentially universal relationship between the critical hydraulic gradient (Ic) and K, with a power-law exponent of –3/2, consistent with previous investigations. Additionally, Ic was found to be inversely proportional to the power law of the square root of d50. Novel relationships are derived for estimating the Izbash equation inertial exponent (n) and the Forchheimer inertial coefficient ($$\beta$$ β ) based on sediment characteristics. The exponent (n) was found to decrease with d50 and increase with K, following power-law relationships. A new equation is proposed, capable of predicting $$\beta$$ β with slightly improved accuracy, outperforming numerous and previously proposed empirical equations. Additionally, these data validate the works of Ergun and Irmay as an alternative for $$\beta$$ β estimation using porosity and sediment size. As the attainment of statistical significance in multiparameter curve fitting can be trivial, it has led to the proliferation of empirical equations for estimating β. This study highlights the limitations of existing empirical methods in determining β and emphasizes the necessity for a universal approach to predict this critical parameter, which will facilitate broader adoption of the Forchheimer equation.

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Alternative relationships to enhance the applicability of nonlinear filtration models in porous media

Cited by 3 publications

References 63 publications

Resistance and Regime Relationship In Flow Through Porous Media Considering the Effects of Porosity, Wall and Tortuosity

Resistance and Regime Relationship In Flow Through Porous Media Considering the Effects of Porosity, Wall and Tortuosity

Application of Artificial Intelligence and Machine Learning Technique for Nonlinear Flow Modelling Applicable in Petroleum Exploration and in Porous Media Flow

Sediment size effects on non-Darcy flow: insights from Izbash equation and Forchheimer inertial coefficient analysis

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