A fractal model for gas slippage factor in porous media in the slip flow regime

Zheng, Qiang; Yu, Bo; Duan, Yonggang; Fang, Quantang

doi:10.1016/j.ces.2012.10.019

Cited by 92 publications

(29 citation statements)

References 31 publications

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“…According to the foregoing chapter, the pore throats size of reservoir stratum of gas reservoir is very small, and the slippage effect on gas penetration in reservoir stratum should be taken into consideration. Therefore, insert the apparent permeability proposed by Zheng et al 42 formula into Eq. (9), separate the variables and differentiate…”

Section: The Productivity Equation Ofmentioning

confidence: 99%

A Fractal Analysis for Net Present Value of Multi-Stage Hydraulic Fractured Horizontal Well

Zhang

Tan

et al. 2017

Fractals

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Because of the low permeability, multi-stage hydraulic fractured horizontal wells (MHFHWs) occupy a dominant position among production wells in tight gas reservoir. However, net present value (NPV) estimation method for MHFHW in tight gas reservoirs often ignores the effect of heterogeneity in microscopic pore structure. Apart from that, a new fractal model is presented for NPV of MHFHW, based on the fractal expressions of formation parameters. First, with the aid of apparent permeability model, a pseudo pressure expression considering both reservoir fractal features and slippage effect is derived, contributing to establish the productivity model. Secondly, economic assessment method is built based on the fractal productivity model, in order to obtain the NPV of MHFHW. Thirdly, the type curves are illustrated and the influences of different fractal parameters are discussed. The pore fractal dimensions D f and the capillary tortuosity fractal dimensions D T have significant effects on the NPV of an MHFHW. Finally, the proposed model in this paper provides a new methodology for analyzing and predicting the NPV of an MHFHW and may be conducive to a better understanding of the optimal design of MHFHW.

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Section: The Productivity Equation Ofmentioning

confidence: 99%

A Fractal Analysis for Net Present Value of Multi-Stage Hydraulic Fractured Horizontal Well

Zhang

Tan

et al. 2017

Fractals

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show abstract

“…The term D t is the fractal dimension for tortuosity which ranges from 1 to 2 (or 3) in two (or three) dimensions. The term L 0 is the straight length of capillary pathways along the flow direction, and A is the cross sectional area of a unit cell (Zheng et al, 2013).…”

Section: Fractal Gas Permeability Model Of Tight Porous Mediamentioning

confidence: 99%

“…There are some researchers who have investigated fractal permeability model of gas transport in tight reservoirs based on the fractal theory. Zheng et al (2013) developed a fractal permeability model of gas transport in slip flow regime (10 −3 < K n < 10 −1 ) based on fractal theory. The apparent gas permeability can be calculated by parameters with definite physical meaning:…”

Section: Fractal Gas Permeability Model Of Tight Porous Mediamentioning

confidence: 99%

Review on gas flow and recovery in unconventional porous rocks

Lin

Wang

Yuan

et al. 2017

Adv. Geo-Energ. Res.

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This study summarizes gas flow process in unconventional porous rocks, including the transportation in tight or shale reservoirs and the spontaneous imbibition happened in them. Fluids flow is greatly affected by the pore structure together with the pore size distribution of porous media. The MRI and BET measurement show peaks in pore throat radius ranging from 2 to 20 nm, whereas the diameter for methane and helium are 0.38 and 0.26 nm, respectively. Yet for different types of reservoir, distinct mechanisms should be utilized based on the flow regimes. Besides, experimental measurement techniques for conventional reservoirs are no long accurate enough for most of the unconventional reservoirs. New attempts have been implemented to obtain more valuable data for accurate reservoir prediction. By reviewing large numbers of articles, a clear and comprehensive map on the gas flow and recovery in unconventional reservoirs is made. Factors influencing the gas flow and recovery are investigated in detail for mathematical simulation process. Reservoir conditions and the sweep efficiency play an important role during gas production process. Besides, adsorbed gas contributes a lot to the total gas recovery. The overall investigations suggest that many parameters that influence the gas flow in unconventional porous rocks should be taken into consideration during the evaluation. Among them, permeability, adsorbed gas dynamics, stimulated reservoir volume as well as the unstimulated reservoir volume, and imbibition effect are the most important ones. This study provides valuable data and reasonable exploitations for characterizing gas flow and recovery in unconventional porous rocks.

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“…Therefore, the process of gas flow through tight sandstones has attracted attention in planning gas field development [1][2][3][4][5]. It has been proven that the mean free path of a gas molecule is on the same order of…”

mentioning

confidence: 99%

Theoretical Study of the Gas Slippage Effect in the Pore Space of Tight Sandstones in the Presence of a Water Phase

Lei

Dong

et al. 2015

Chem Technol Fuels Oils

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Compared with the pore throat radius in tight sandstones, the mean free path of a molecule can no longer be neglected. As a result, the gas slippage effect (the Klinkenberg effect) in tight sandstones is quite significant and must be taken into account. The goal of this work was to use an analytical expression to show the effect of pore space structural parameters and temperature on the gas slippage factor, taking into account water saturation in tight sandstones. The mathematical model including water saturation was derived from fractal theory. The calculations of the gas slippage factor (the Klinkenberg constant) using the proposed model agree well with experimental data presented in the literature. We have also studied the effect of pore space structural parameters and temperature on the gas slippage factor for different water saturation values. The gas slippage factor correlates with the tortuosity fractal dimension of the pore channels for high water saturation. This distinguishes the analytical model obtained from the single-phase model neglecting the effect of water saturation.Compared with the pore throat radius in tight sandstones, the mean free path of a molecule can no longer be negligible and so in tight sandstones, the gas slippage effect must be taken into account. Therefore, the process of gas flow through tight sandstones has attracted attention in planning gas field development [1][2][3][4][5]. It has been proven that the mean free path of a gas molecule is on the same order of

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A fractal model for gas slippage factor in porous media in the slip flow regime

Cited by 92 publications

References 31 publications

A Fractal Analysis for Net Present Value of Multi-Stage Hydraulic Fractured Horizontal Well

A Fractal Analysis for Net Present Value of Multi-Stage Hydraulic Fractured Horizontal Well

Review on gas flow and recovery in unconventional porous rocks

Theoretical Study of the Gas Slippage Effect in the Pore Space of Tight Sandstones in the Presence of a Water Phase

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