Study on Physical Dimensions of Some Expressions of Petrophysics

José Carlos Xavier da Silva; Giovanni Chaves Stael; Camila Ferreira Augusto Fernandes

doi:doi:10.11648/j.earth.20231202.12

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Study on Physical Dimensions of Some Expressions of Petrophysics

José Carlos Xavier da Silva, Giovanni Chaves Stael, Camila Ferreira Augusto Fernandes

Published in Earth Sciences (Volume 12, Issue 2)

Received: 22 March 2023 Accepted: 23 April 2023 Published: 18 May 2023

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Abstract

This study arose during the survey of a large number of works aiming to prepare a permeability model that presented a better accuracy than those consecrated in the literature for different types of reservoir rocks in the petrophysical area. The methodology used was to appreciate the mathematical expressions replacing physical quantities by their dimensions in the LMT system. After replacing length by L, mass by M and time by T, we compare the first members of the equations with the second to verify the homogeneity of the magnitudes involved in each mathematical formula. When these expressions are tested with experimental data, were identified formulas that did not show equilibrium in dimensions of their magnitudes, where it was observed that the permeability values found did not exhibit units of squared length. It has been used the phase spatial encoding in the Nuclear Magnetic Resonance Tool with experimental data of porosity, irreducible fluid volume, free fluid volume and transverse relaxation time. This distortion led us to conclude that the equations did not present their homogeneous physical dimensions, motivating a deep study in the identification of expressions used in the permeability calculation, in sandstone and carbonate rocks, with no equilibrium in their dimensional equations in any unit system. This review aims to identify the constants used in the equations equilibrium suggesting modifications that can be obtained through pre-established relationships to increase the reliability of the equations previously used.

Published in	Earth Sciences (Volume 12, Issue 2)
DOI	10.11648/j.earth.20231202.12
Page(s)	47-52
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Porosity, Permeability, Dimension, Equilibrium Equation, Nuclear Magnetic Resonance, Phase Enconding

References

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APA Style

José Carlos Xavier da Silva, Giovanni Chaves Stael, Camila Ferreira Augusto Fernandes. (2023). Study on Physical Dimensions of Some Expressions of Petrophysics. Earth Sciences, 12(2), 47-52. https://doi.org/10.11648/j.earth.20231202.12

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ACS Style

José Carlos Xavier da Silva; Giovanni Chaves Stael; Camila Ferreira Augusto Fernandes. Study on Physical Dimensions of Some Expressions of Petrophysics. Earth Sci. 2023, 12(2), 47-52. doi: 10.11648/j.earth.20231202.12

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AMA Style

José Carlos Xavier da Silva, Giovanni Chaves Stael, Camila Ferreira Augusto Fernandes. Study on Physical Dimensions of Some Expressions of Petrophysics. Earth Sci. 2023;12(2):47-52. doi: 10.11648/j.earth.20231202.12

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@article{10.11648/j.earth.20231202.12,
  author = {José Carlos Xavier da Silva and Giovanni Chaves Stael and Camila Ferreira Augusto Fernandes},
  title = {Study on Physical Dimensions of Some Expressions of Petrophysics},
  journal = {Earth Sciences},
  volume = {12},
  number = {2},
  pages = {47-52},
  doi = {10.11648/j.earth.20231202.12},
  url = {https://doi.org/10.11648/j.earth.20231202.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.earth.20231202.12},
  abstract = {This study arose during the survey of a large number of works aiming to prepare a permeability model that presented a better accuracy than those consecrated in the literature for different types of reservoir rocks in the petrophysical area. The methodology used was to appreciate the mathematical expressions replacing physical quantities by their dimensions in the LMT system. After replacing length by L, mass by M and time by T, we compare the first members of the equations with the second to verify the homogeneity of the magnitudes involved in each mathematical formula. When these expressions are tested with experimental data, were identified formulas that did not show equilibrium in dimensions of their magnitudes, where it was observed that the permeability values found did not exhibit units of squared length. It has been used the phase spatial encoding in the Nuclear Magnetic Resonance Tool with experimental data of porosity, irreducible fluid volume, free fluid volume and transverse relaxation time. This distortion led us to conclude that the equations did not present their homogeneous physical dimensions, motivating a deep study in the identification of expressions used in the permeability calculation, in sandstone and carbonate rocks, with no equilibrium in their dimensional equations in any unit system. This review aims to identify the constants used in the equations equilibrium suggesting modifications that can be obtained through pre-established relationships to increase the reliability of the equations previously used.},
 year = {2023}
}

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TY  - JOUR
T1  - Study on Physical Dimensions of Some Expressions of Petrophysics
AU  - José Carlos Xavier da Silva
AU  - Giovanni Chaves Stael
AU  - Camila Ferreira Augusto Fernandes
Y1  - 2023/05/18
PY  - 2023
N1  - https://doi.org/10.11648/j.earth.20231202.12
DO  - 10.11648/j.earth.20231202.12
T2  - Earth Sciences
JF  - Earth Sciences
JO  - Earth Sciences
SP  - 47
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PB  - Science Publishing Group
SN  - 2328-5982
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AB  - This study arose during the survey of a large number of works aiming to prepare a permeability model that presented a better accuracy than those consecrated in the literature for different types of reservoir rocks in the petrophysical area. The methodology used was to appreciate the mathematical expressions replacing physical quantities by their dimensions in the LMT system. After replacing length by L, mass by M and time by T, we compare the first members of the equations with the second to verify the homogeneity of the magnitudes involved in each mathematical formula. When these expressions are tested with experimental data, were identified formulas that did not show equilibrium in dimensions of their magnitudes, where it was observed that the permeability values found did not exhibit units of squared length. It has been used the phase spatial encoding in the Nuclear Magnetic Resonance Tool with experimental data of porosity, irreducible fluid volume, free fluid volume and transverse relaxation time. This distortion led us to conclude that the equations did not present their homogeneous physical dimensions, motivating a deep study in the identification of expressions used in the permeability calculation, in sandstone and carbonate rocks, with no equilibrium in their dimensional equations in any unit system. This review aims to identify the constants used in the equations equilibrium suggesting modifications that can be obtained through pre-established relationships to increase the reliability of the equations previously used.
VL  - 12
IS  - 2
ER  -

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Author Information

José Carlos Xavier da Silva

Department of Quantum Electronics, State University of Rio de Janeiro, Rio de Janeiro, Brasil
Giovanni Chaves Stael

Geophysics Coordination, National Observatory, Rio de Janeiro, Brasil
Camila Ferreira Augusto Fernandes

Department of Geoenvironmental Analysis, Fluminense Federal University, Niterói, Brasil

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Plain Text BibTeX RIS

APA Style

José Carlos Xavier da Silva, Giovanni Chaves Stael, Camila Ferreira Augusto Fernandes. (2023). Study on Physical Dimensions of Some Expressions of Petrophysics. Earth Sciences, 12(2), 47-52. https://doi.org/10.11648/j.earth.20231202.12

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ACS Style

José Carlos Xavier da Silva; Giovanni Chaves Stael; Camila Ferreira Augusto Fernandes. Study on Physical Dimensions of Some Expressions of Petrophysics. Earth Sci. 2023, 12(2), 47-52. doi: 10.11648/j.earth.20231202.12

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AMA Style

José Carlos Xavier da Silva, Giovanni Chaves Stael, Camila Ferreira Augusto Fernandes. Study on Physical Dimensions of Some Expressions of Petrophysics. Earth Sci. 2023;12(2):47-52. doi: 10.11648/j.earth.20231202.12

Copy | Download

@article{10.11648/j.earth.20231202.12,
  author = {José Carlos Xavier da Silva and Giovanni Chaves Stael and Camila Ferreira Augusto Fernandes},
  title = {Study on Physical Dimensions of Some Expressions of Petrophysics},
  journal = {Earth Sciences},
  volume = {12},
  number = {2},
  pages = {47-52},
  doi = {10.11648/j.earth.20231202.12},
  url = {https://doi.org/10.11648/j.earth.20231202.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.earth.20231202.12},
  abstract = {This study arose during the survey of a large number of works aiming to prepare a permeability model that presented a better accuracy than those consecrated in the literature for different types of reservoir rocks in the petrophysical area. The methodology used was to appreciate the mathematical expressions replacing physical quantities by their dimensions in the LMT system. After replacing length by L, mass by M and time by T, we compare the first members of the equations with the second to verify the homogeneity of the magnitudes involved in each mathematical formula. When these expressions are tested with experimental data, were identified formulas that did not show equilibrium in dimensions of their magnitudes, where it was observed that the permeability values found did not exhibit units of squared length. It has been used the phase spatial encoding in the Nuclear Magnetic Resonance Tool with experimental data of porosity, irreducible fluid volume, free fluid volume and transverse relaxation time. This distortion led us to conclude that the equations did not present their homogeneous physical dimensions, motivating a deep study in the identification of expressions used in the permeability calculation, in sandstone and carbonate rocks, with no equilibrium in their dimensional equations in any unit system. This review aims to identify the constants used in the equations equilibrium suggesting modifications that can be obtained through pre-established relationships to increase the reliability of the equations previously used.},
 year = {2023}
}

Copy | Download

TY  - JOUR
T1  - Study on Physical Dimensions of Some Expressions of Petrophysics
AU  - José Carlos Xavier da Silva
AU  - Giovanni Chaves Stael
AU  - Camila Ferreira Augusto Fernandes
Y1  - 2023/05/18
PY  - 2023
N1  - https://doi.org/10.11648/j.earth.20231202.12
DO  - 10.11648/j.earth.20231202.12
T2  - Earth Sciences
JF  - Earth Sciences
JO  - Earth Sciences
SP  - 47
EP  - 52
PB  - Science Publishing Group
SN  - 2328-5982
UR  - https://doi.org/10.11648/j.earth.20231202.12
AB  - This study arose during the survey of a large number of works aiming to prepare a permeability model that presented a better accuracy than those consecrated in the literature for different types of reservoir rocks in the petrophysical area. The methodology used was to appreciate the mathematical expressions replacing physical quantities by their dimensions in the LMT system. After replacing length by L, mass by M and time by T, we compare the first members of the equations with the second to verify the homogeneity of the magnitudes involved in each mathematical formula. When these expressions are tested with experimental data, were identified formulas that did not show equilibrium in dimensions of their magnitudes, where it was observed that the permeability values found did not exhibit units of squared length. It has been used the phase spatial encoding in the Nuclear Magnetic Resonance Tool with experimental data of porosity, irreducible fluid volume, free fluid volume and transverse relaxation time. This distortion led us to conclude that the equations did not present their homogeneous physical dimensions, motivating a deep study in the identification of expressions used in the permeability calculation, in sandstone and carbonate rocks, with no equilibrium in their dimensional equations in any unit system. This review aims to identify the constants used in the equations equilibrium suggesting modifications that can be obtained through pre-established relationships to increase the reliability of the equations previously used.
VL  - 12
IS  - 2
ER  -

Copy | Download