By clustering the Thomeer parameters of each MICP data, different rock types can be distinguished. The clustering method used here is the K -means clustering technique. K -means clustering aims to partition the input observations into different clusters in which each observation belongs to the cluster with the nearest mean, and the center of
Thomeer (1960) used three parameters (the extrapolated displacement pressure P d, the percent bulk volume occupied by mercury at infinite capillary pressure B ∞ and the pore geometrical factor G) hyperbola function to fit the MICP curve, thus the derivative of Thomeer hyperbola was used as PSD function.
The details in position and shape of the hyperbola are determined by the three Thomeer parameters: P d, which is the “minimum entry pressure” or “threshold pressure”, related to the largest connected pore throat diameter; G is the “pore geometrical factor” related to the range of pore throat diameters and B v ∞, which is the “fractional bulk volume occupied” by mercury at P c =∞. The Expectation-Maximization algorithm for Gaussian mixture model was utilized to obtain three controlling parameters for the calculation of Thomeer parameters, namely the extrapolated displacement pressure, the percent bulk volume occupied by mercury at infinite capillary pressure and the pore geometrical factor. Exploratory data analysis for Thomeer-parameters: Rock type: N: Minimum: Maximum: Arithmetic average: Median: Std. Dev. Thomeer-porosity: 15: 0.22: 0.25: 0.22: 0.22: 0.01: G-factor (-) 1: 15: 0.18: 0.32: 0.22: 0.22: 0.04: p d (bar) 15: 0.29: 0.45: 0.41: 0.42: 0.04: Thomeer-porosity (S b∞) 6: 0.18: 0.21: 0.19: 0.19: 0.01: G-factor (-) 2: 6: 0.11: 0.23: 0.27: 0.18: 0.04: p d (bar) 6: 0.76: 1.12: 0.93: 0.93: 0.13: Thomeer-porosity (S b∞) 3: 0.18: 0.19 Thomeer (1960) presented a mathematical model to describe capillary pressure curves using three parameters. He also proposed, graphically, a relationship between air permeability and the introduced parameters.
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The Expectation-Maximization algorithm for Gaussian mixture model was utilized to obtain three controlling parameters for the calculation of Thomeer parameters, namely the extrapolated displacement pressure, the percent bulk volume occupied by mercury at infinite capillary pressure and the pore geometrical factor. The details in position and shape of the hyperbola are determined by the three Thomeer parameters: P d, which is the “minimum entry pressure” or “threshold pressure”, related to the largest connected pore throat diameter; G is the “pore geometrical factor” related to the range of pore throat diameters and B v ∞, which is the “fractional bulk volume occupied” by mercury at P c =∞. Exploratory data analysis for Thomeer-parameters: Rock type: N: Minimum: Maximum: Arithmetic average: Median: Std. Dev. Thomeer-porosity: 15: 0.22: 0.25: 0.22: 0.22: 0.01: G-factor (-) 1: 15: 0.18: 0.32: 0.22: 0.22: 0.04: p d (bar) 15: 0.29: 0.45: 0.41: 0.42: 0.04: Thomeer-porosity (S b∞) 6: 0.18: 0.21: 0.19: 0.19: 0.01: G-factor (-) 2: 6: 0.11: 0.23: 0.27: 0.18: 0.04: p d (bar) 6: 0.76: 1.12: 0.93: 0.93: 0.13: Thomeer-porosity (S b∞) 3: 0.18: 0.19 In 1960, Thomeer showed that each capillary pressure curve using mercury injection method can be described using three pore-network parameters. Thomeer (1960) proposed the following model: (1) S b S b ∞ = e − F g / log (P c P d) where, S b is the bulk volume (in percentage) occupied by mercury, S b ∞ is the bulk volume (in percentage) occupied by mercury at infinite capillary pressure or the total interconnected pore volume, F g is a parameter that defines the capillary pressure curve Thomeer (1960) presented a mathematical model to describe capillary pressure curves using three parameters. He also proposed, graphically, a relationship between air permeability and the introduced parameters.
Using soft computing techniques to predict corrected air permeability using Thomeer parameters, air porosity and grain density Author: Nooruddin, Hasan A., Anifowose, Fatai, Abdulraheem, Abdulazeez Source: Computers & geosciences 2014 v.64 pp. 72-80 ISSN: 0098-3004 Subject:
Pore structure characterization and permeability estimation with a modified multimodal Thomeer pore size distribution function for carbonate reservoirs Thomeer also evaluated both the significance and accuracy of determination of these parameters. Values were determined from capillary-pressure curves on 144 parameters. Values were determined from capillary-pressure curves on 144 diverse rock samples and correlated with air permeabilities measured on the same samples.
24 May 2018 distribution, calculate the pore structure parameters of the reservoir, the T2 distributions and the Thomeer parameters of the MICP curves.
Dispersion plot of Bv all vs. porosity from standard porosimetry measurements, Φ hp, showed distinctly the difference in the porosity values (Fig. 8). Bv all means sum of MIP effective porosity in … This study has suggested that Gaussian error distributions are a better alternative than Thomeer hyperbolas for alluvial fan conglomerates, but future investigations are needed. Moreover, investigations of the Thomeer parameters were performed and the analysis showed: high correlation between the Thomeer parameter equivalent to largest pore-throat radius and permeability measured by CCA. Our reference data is a clastic core analysis database. The core analysis database being queried has porosity and permeability as well as the Thomeer-based Capillary Pressure parameters, BVi, Pdi and Gi used with each pore system i.
Chapter 2 provides a short introduction to the
Thomeer permeability model is given by: (2.7) where, and are Thomeer parameters defined previously in Equation 2.2. Thomeer used 279 rock samples in which 165 are sandstones and 114 are carbonates. He used uncorrected air permeability measurements ranging from less than 0.1 mD to more than 2000 mD. Thomeer Parameters and Petrophysical Rock Types: A Thomeer hyperbola is fit to the HPMI data by optimizing on the Thomeer Parameters G1, Pd1 and BV1 for the first pore system and G2, Pd2 and BV2 for the second. The following image relates the Thomeer hyperbola (dashed black line) to the Capillary Pressure Curve (solid red line). Petrophysical rock types (PRTs) can be defined as objects in the three dimensional space defined by Thomeer pore system parameters. Classifications in the Thomeer parameter space must also be accompanied by relationships to convenient well bore measurements (commonly well logs) and geologic parameters to create economic value in the petroleum business.
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Dekker, E. (2012). Burden of colonoscopy compared to The Gambian studies were conducted in two different ecological settings and at Nieuwenhuis RF, Ossewaarde JM, Götz HM, Dees J, Thio HB, Thomeer MG et Each nucleus and cell was submitted to morphometric parameter Martin F Bach ⋅ Egbert A J F Lakke ⋅ Enrico Marani ⋅ Raph T W M Thomeer. 1439 Thomeer MG, Gerestein C, Spronk S, van Doorn HC, van der Ham E, Hunink Singh N, Arif S. Histopathologic parameters of prognosis in cervical cancer--a The Thomeer function has three parameters: Threshold pressure Pct Pore geometric factor G Mercury saturation at infinite capillary pressure SHg∞ Thomeer (1960) used three parameters (the extrapolated displacement pressure P d, the percent bulk volume occupied by mercury at infinite capillary pressure B ∞ and the pore geometrical factor G) hyperbola function to fit the MICP curve, thus the derivative of Thomeer hyperbola was used as PSD function. Thomeer parameter, P d, when plotted on a logarithmic axis [Log (P d) domain] showed the most significant variation, and it was considered the controlling parameter for classification.
av H Falconer — Thomeer MG, Gerestein C, Spronk S, van Doorn HC, van der Ham E, Singh N, Arif S. Histopathologic parameters of prognosis in cervical
Oberdörster, G. (1996) Significance of particle parameters in the evaluation of exposure-dose-response relationships of inhaled particles. Wijkerslooth,R., de Haan, M., Stoop, E., Bossuyt, P., Thomeer, M., Essink-Bot, M-L…. Dekker, E. (2012). Burden of colonoscopy compared to
The Gambian studies were conducted in two different ecological settings and at Nieuwenhuis RF, Ossewaarde JM, Götz HM, Dees J, Thio HB, Thomeer MG et
Each nucleus and cell was submitted to morphometric parameter Martin F Bach ⋅ Egbert A J F Lakke ⋅ Enrico Marani ⋅ Raph T W M Thomeer.
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Parameters of a Thomeer capillary pressure fitting curve are derived and used for analyzing rocks with unimodal or multimodal pore size distributions. An apparatus and method for determining a property of an earth formation using a radial basis function derived from a catalog of rock samples.
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Parameters of a Thomeer capillary pressure fitting curve are derived and used for analyzing rocks with unimodal or multimodal pore size distributions. An apparatus and method for determining a property of an earth formation using a radial basis function derived from a catalog of rock samples. Parameters of a Thomeer capillary pressure fitting
The Thomeer permeability can be computed for all samples with MICP Thomeer parameters. Thomeer gave no instructions as to the contribution to permeability from a multiple-pore system.