Interrelationship between Resistivity Index, Capillary Pressure and Relative Permeability

Li, Kewen

doi:10.1007/s11242-011-9745-6

Cited by 25 publications

(10 citation statements)

References 25 publications

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“…This phenomenon can be explained by the fact that a decrease in porosity causes the decrease of pore size, leading to the increase of the capillary pressure for water phase. [30][31][32][33][34][35] permeability of unsaturated porous rocks predicted using our model agrees well with the experimental data [30][31][32][33][34] and model the results. 35 The validity of the proposed model for the water relative permeability of unsaturated porous rocks is thus verified.…”

Section: Fractal Methods and Calculationssupporting

confidence: 85%

A Fractal Model for Water Flow Through Unsaturated Porous Rocks

et al. 2018

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In this work, considering the effect of porosity, pore size, saturation of water and tortuosity fractal dimension, an analytical model for the capillary pressure and water relative permeability is derived in unsaturated porous rocks. Besides, the formulas of calculating the capillary pressure and water relative permeability are given by taking into account the fractal distribution of pore size and tortuosity of capillaries. It can be seen that the capillary pressure for water phase decreases with the increase of saturation in unsaturated porous rocks. It is found that the capillary pressure for water phase decreases as the tortuosity fractal dimension decreases. It is further seen that the capillary pressure for water phase increases with the decrease of porosity, and at low porosity, the capillary pressure increases sharply with the decrease of porosity. Besides, it can be observed that the water relative permeability increases with the increase of saturation in unsaturated porous rocks. This predicted the capillary pressure and water relative permeability of unsaturated porous rocks based on the proposed models which are in good agreement with the experimental data and model predictions reported in the literature. § Corresponding author. This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited. 1840015-1 B. Xiao et al.The proposed model improved the understanding of the physical mechanisms of water flow through unsaturated porous rocks.

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Section: Fractal Methods and Calculationssupporting

confidence: 85%

A Fractal Model for Water Flow Through Unsaturated Porous Rocks

et al. 2018

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“…This model has been used in many fields. In recent years, some scientists and engineers search to have a method to infer relative permeability from resistivity data (Li 2011). Li and Williams (2006) developed a correlation between resistivity and capillary pressure.…”

Section: Introductionmentioning

confidence: 99%

A New Correction Method for Oil–Water Relative Permeability Curve on the Basis of Resistivity and Water Saturation Relationship

Yang

Liu³

et al. 2015

Transp Porous Med

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Oil-water relative permeability curve constitutes important basic data in reservoir engineering. Given the influence of dead volume on experimental apparatus, the actual oil-water relative permeability curve cannot be obtained when the unsteady-state method is adopted to measure oil-water relative permeability. In this paper, on the basis of the analysis of the influence of dead volume on oil-water relative permeability, we summarize the conventional methods used to overcome dead volume and then propose the use of relationship theory between resistivity and water saturation to calibrate the oil-water relative permeability curve. This method mainly aims at to measure the resistance values at both ends of the core by using a resistance-measuring instrument. Meantime, the Archie formula is used to calibrate the relational expression of core resistivity and water saturation based on the steadystate experimental method. Therefore, the core of the actual cumulative oil production and the average water saturation can be calculated, and then oil-water relative permeability can be accurately computed without the influence of dead volume. By comparing the oil displacement process of dead volume calculated through two different methods (probability subtraction and resistivity methods), the crude oil in dead volume is found to be displaced at the beginning of the displacement. The oil-water relative permeability curve corrected through resistivity method can eliminate the influence of dead volume and iterative error in calculation, and is consistent with the law of the actual development of oilfield, which has certain theoretical and practical application values.

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“…These models vary in sensitivity with respect to variations in minimum saturation and degree of sorting (Brooks & Corey 1966;Corey 1954). Different studies (Ahmed 2000;Honarpour et al 1986;Li 2010;Naar & Henderson 1961) are available in the literature to describe relative permeability curve behavior by using these correlations and recently an in-depth sensitivity analysis of Brooks and Corey model (Brooks & Corey 1966) and Pirson correlation (Pirson 1958) was studied and analyzed by Zahoor in 2011 (Zahoor 2011), using the in-house developed software, namely; Kr Estimator. In this paper, the study is further extended and broadened by including more relative permeability models, which are used for generating relative permeability data, based on the information, such as type of fluids present in the reservoir, formation type, undergoing displacement processes and saturation variations.…”

Section: Introductionmentioning

confidence: 99%