Permeability of fractal porous media by Monte Carlo simulations

Yu, Bo; Zou, Mingqing; Feng, Yongjin

doi:10.1016/j.ijheatmasstransfer.2005.02.008

Cited by 118 publications

(65 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The method allows the generation of many possible models. In the present work, the method suggested by Yu et al (2005) is applied to the Ankleshwar sandstone reservoir, where micro-pores are formed by pore-filling material (clays) or exist as intra-granular pores (Krohn, 1988a). The permeability contribution by these micro-pores is negligible (Yu and Lee, 2000;Nimmo, 2004;Loucks, 2005).…”

Section: Monte Carlo Simulations For Prediction Of Permeabilitymentioning

confidence: 98%

“…Based on these fractal scaling laws, Yu et al (2005) obtained probability expressions for pore diameter and permeability in terms of pore diameter as given below:…”

Section: Fractal Description Of Pore Structuresmentioning

confidence: 99%

“…However, if a porous medium is a multiscale or scale-dependent fractal medium, analytical expression may not give accurate results. To overcome this issue, Yu et al (2005) proposed the Monte Carlo technique to simulate the permeability of fractal porous media. Yu and Li (2004) derived analytical expressions of the fractal dimensions for wetting and non-wetting phases for unsaturated porous media.…”

Section: Introductionmentioning

confidence: 99%

“…Analytical expressions for relative permeabilities of wetting and non-wetting phases are presented by Xu et al (2013b). The innovative work presented by Yu et al (2005) assumed a model in which a porous medium consists of a set/bundle of parallel and tortuous capillaries with uniform diameter and obtained probability model for pore diameter and permeability. The probability model comprehends the fractal nature of pore size distribution and tortuous capillaries.…”

Section: Introductionmentioning

confidence: 99%

“…The overall approach consists of simulating random pore size distribution to calculate flow rate from the Hagen-Poiseuille equation (Denn, 1980) and then, by using Darcy's law (Darcy, 1856), an expression for permeability is obtained. This fractal-based method was applied to estimate the permeability of a sintered copper bi-dispersed porous medium to solve a heat transport problem (Yu et al, 2005).…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Estimation of permeability of a sandstone reservoir by a fractal and Monte Carlo simulation approach: a case study

Vadapalli

Srivastava

Vedanti

et al. 2014

Nonlin. Processes Geophys.

View full text Add to dashboard Cite

Abstract. Permeability of a hydrocarbon reservoir is usually estimated from core samples in the laboratory or from well test data provided by the industry. However, such data is very sparse and as such it takes longer to generate that. Thus, estimation of permeability directly from available porosity logs could be an alternative and far easier approach. In this paper, a method of permeability estimation is proposed for a sandstone reservoir, which considers fractal behavior of pore size distribution and tortuosity of capillary pathways to perform Monte Carlo simulations. In this method, we consider a reservoir to be a mono-dispersed medium to avoid effects of micro-porosity. The method is applied to porosity logs obtained from Ankleshwar oil field, situated in the Cambay basin, India, to calculate permeability distribution in a well.Computed permeability values are in good agreement with the observed permeability obtained from well test data. We also studied variation of permeability with different parameters such as tortuosity fractal dimension (D t ), grain size (r) and minimum particle size (d 0 ), and found that permeability is highly dependent upon the grain size. This method will be extremely useful for permeability estimation, if the average grain size of the reservoir rock is known.

show abstract

Section: Monte Carlo Simulations For Prediction Of Permeabilitymentioning

confidence: 98%

“…Based on these fractal scaling laws, Yu et al (2005) obtained probability expressions for pore diameter and permeability in terms of pore diameter as given below:…”

Section: Fractal Description Of Pore Structuresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Estimation of permeability of a sandstone reservoir by a fractal and Monte Carlo simulation approach: a case study

Vadapalli

Srivastava

Vedanti

et al. 2014

Nonlin. Processes Geophys.

View full text Add to dashboard Cite

show abstract

Determination of the effective thermal conductivity of gas diffusion layers in polymer electrolyte membrane fuel cells: a comprehensive fractal approach

Nikooee

Karimi

2011

Int. J. Energy Res.

View full text Add to dashboard Cite

SUMMARYAccurate determination of the effective thermal conductivity of gas diffusion layers used in polymer electrolyte membrane fuel cells is very critical for efficient thermal and water management. In this paper, effective thermal conductivity of a diffusion medium material with and without polytetrafluoroethylene (PTFE) was estimated using a fractal approach. Fractal dimensions were obtained using the measured pore size distributions of the samples. The predicted through-plane thermal conductivities were in good agreement with the experimentally measured data. It was demonstrated that such a fractal technique can be employed, with slight modifications, to estimate in-plane thermal conductivity. Besides, application of a random multifractal simulation to obtain the required tortuous fractal dimension is introduced, which can be helpful in the absence of scanning electron microscopy images. It was shown that the tortuous fractal dimension obtained is in good agreement with the reported value in the literature. Finally, variation of the tortuous fractal dimensions with PTFE contents was also determined, which is of practical importance when estimating thermal conductivity of diffusion media with different amount of PTFE contents.

show abstract