Fractal Dimensions from Mercury Intrusion Capillary Tests

Angulo, Rafael F.; Alvarado, Vladimir; Gonzalez, H.

doi:10.2118/23695-ms

Cited by 59 publications

(48 citation statements)

References 17 publications

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“…where D P is pore volume fractal dimension, which can be deduced from the slope of the linear log-log plot of pore volume, V P , against injection pressure, P [21,22].…”

Section: Mercury Porosimetry and Fractal Dimensionmentioning

confidence: 99%

Fractal Characteristics of the Pore Network in Diatomites Using Mercury Porosimetry and Image Analysis

Stańczak¹,

Rembiś²,

Figarska-Warchoł³

et al. 2015

Springer Proceedings in Physics

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The complex pore space considerably affects the unique properties of diatomite and its significant potential for many industrial applications. The pore network in the diatomite from the Lower Miocene strata of the Skole nappe (the Jawornik deposit, SE Poland) has been investigated using a fractal approach. The fractal dimension of the pore-space volume was calculated using the Menger sponge as a model of a porous body and the mercury porosimetry data in a pore-throat diameter range between 10,000 and 10 nm. Based on the digital analyses of the twodimensional images from thin sections taken under a scanning electron microscope at the backscattered electron mode at different magnifications, the authors tried to quantify the pore spaces of the diatomites using the box counting method. The results derived from the analyses of the pore-throat diameter distribution using mercury porosimetry have revealed that the pore space of the diatomite has the bifractal structure in two separated ranges of the pore-throat diameters considerably smaller than the pore-throat sizes corresponding to threshold pressures. Assuming that the fractal dimensions identified for the ranges of the smaller pore-throat diameters characterize the overall pore-throat network in the Jawornik diatomite, we can set apart the distribution of the pore-throat volume (necks) and the pore volume from the distribution of the pore-space volume (pores and necks together).

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“…where D P is pore volume fractal dimension, which can be deduced from the slope of the linear log-log plot of pore volume, V P , against injection pressure, P [21,22].…”

Section: Mercury Porosimetry and Fractal Dimensionmentioning

confidence: 99%

Fractal Characteristics of the Pore Network in Diatomites Using Mercury Porosimetry and Image Analysis

Stańczak¹,

Rembiś²,

Figarska-Warchoł³

et al. 2015

Springer Proceedings in Physics

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“…The pore becomes less disperse, and the separation gets better as the data points move closer to the center of mean value. The rule has not been reported before (Angulo et al 1992;Shen et al 1995Shen et al , 1998Becker et al 1997;Perez and Chopra 1997;He and Hua 1998;Radlinski et al 1999;Perez and Miguel 2001;Libny et al 2001;Bijan 2003;Li 2004;Ma et al 2005;Han et al 2006;Li and Horne 2006;Sondergeld et al 2010;Sigal 2013).…”

Section: Fractal Model Of Microheterogeneitymentioning

confidence: 82%

“…After long-term water flooding in heavy oil reservoir, fractal dimensions of both large and small pores, variable coefficient, skewness, and characteristic function of pore structure decrease as the water cut increases. It indicates that the microheterogeneity of core decreases after long-term water flooding (Angulo et al 1992;Shen et al 1995Shen et al , 1998Becker et al 1997;Perez and Chopra 1997;He and Hua 1998;Radlinski et al 1999 Quantitative study on variation of microheterogeneity with 3D pore network model 3D pore network model is an important tool to study micropore structure and macroscopic seepage characteristics of reservoir. The network model is composed of throats and connected pore bodies.…”

Section: Fractal Model Of Microheterogeneitymentioning

confidence: 99%

“…Katz and Thompson (1985) firstly applied the fractal geometry theory in analysis of the structure of porous media, which showed that both pore space and interface in porous media have fractal structure. Angulo et al (1992), Becker et al (1997), Perez and Chopra (1997), Shen et al (1998), He and Hua (1998), Radlinski et al (1999), Miguel 2001, Li (2004), Li and Horne (2006), and Ma et al (2005), put forward various mathematical models of computing the fractal dimension of pore structure based on mercury-injection data with fractal theory and achieved a significant fruit.…”

Section: Introductionmentioning

confidence: 99%

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Study on microheterogeneity and seepage law of reservoir after long-term water flooding

Hua

Liu

Sun³

2017

J Petrol Explor Prod Technol

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In order to carry out research on variation of microheterogeneity in sandstone reservoir after long-term water flooding in the complex faulted oilfields, the cores are cut from typical wells of main oil layers of two blocks in the Jidong Oilfield, and the experiments of long-term water flooding are conducted. Based on the mercury-injection data at different water cut stages during water flooding and the digital core data reconstructed by X-ray CT scanning, the variation of microheterogeneity of reservoir at different water cut stages during long-term water flooding of core are quantitatively characterized through fractal dimension method and 3D pore network model, and the rule of oil-water seepage at different water cut stages is characterized. The study showed that the middle-high-permeability reservoir has a good fractal structure with fractal dimension between 2 and 3. The large pore has the less fractal dimension, and the better homogeneity and pore structure than the small one. After the cores are washed by long-term water flooding, and as the water cut increases, the fractal dimensions of large and small pore gradually decrease, mean and medium pore diameters increase, the relative sorting coefficient decreases, the distribution probability of throat radius of core generally increases, and the microheterogeneity of reservoir weakens. Moreover, the oil relative permeability curves are almost overlapped, and the water relative permeability curves result in a big difference. Under the same water saturation, as the water cut increases, the fractal dimension decreases, the water relative permeability increases, and the oil-water common seepage points shift to the left.

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“…Angulo and Ortiz (1992) found that the fractal dimension of pore volume scales is in the range 2.2 to 2.9. Krohn (1988) made a series of measurements on sandstone, shales and carbonates and found that the fractal dimension of sand stone is between 2.27 and 2.89.…”

Section: The Relative Permeability Modelmentioning

confidence: 99%

The Application of Fractal Dimension on Capillary Pressure Curve to Evaluate the Tight Sandstone

Guo¹,

Yao²,

Yan³

et al. 2017

JSM

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The rock of gas tight reservoir is more heterogeneous than that of conventional sandstone reservoir and is more prone to water-blockage because of the invasion of operation fluid. This paper presented a new approach for the analysis of the capillary pressure curve for tight gas reservoir. Herein, the saturation equation with fractal dimension proved the previous observation that the log-log plot of capillary pressure against water saturation is a straight line, which is quite different from the popular observation by Corey's correlation. How to transform the capillary pressure curve to relative permeability curve was also discussed with fractal dimension. The fractal dimension of capillary pressure, which is not only an indication of heterogeneity, can also reveal the potential water blocks in tight gas wells. If the rock has higher fractal dimension, being at the same water saturation, the capillary pressure will be higher and the relative permeability of water will be smaller, which means higher injection pressure is required to displace the trapped water in reservoir. It is suggested that for the tight gas pay zone with higher fractal dimension, more precautions should be taken to prevent the water trapping during drilling or stimulating operation.

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Fractal Dimensions from Mercury Intrusion Capillary Tests

Cited by 59 publications

References 17 publications

Fractal Characteristics of the Pore Network in Diatomites Using Mercury Porosimetry and Image Analysis

Fractal Characteristics of the Pore Network in Diatomites Using Mercury Porosimetry and Image Analysis

Study on microheterogeneity and seepage law of reservoir after long-term water flooding

The Application of Fractal Dimension on Capillary Pressure Curve to Evaluate the Tight Sandstone

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