| Peer-Reviewed

Study on Physical Dimensions of Some Expressions of Petrophysics

Received: 22 March 2023     Accepted: 23 April 2023     Published: 18 May 2023
Views:       Downloads:
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), 2023. Published by Science Publishing Group

Keywords

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

References
[1] Arns C. H. and Meleán, Y., 2009, Accurate Simulation of NMR Responses of Mono-Mineralic Carbonate Rocks using Xray-CT images, SPWLA 50th Annual Logging Symposium, Woodlands, Texas, June 21-24.
[2] Arns, C. H., Meleán, Y., Sheppard, A. P., andKnackstedt, M. A., 2008, A Comparison of Pore Structure Analysis by NMR and Xray-CT Techniques, C. H., SPWLA 49th Annual Logging Symposium, Australia, May 25-28.
[3] Cao Minh, C., Crary, S., Zielinski, L., Liu, C. B. and Jacobsen, S., 2012, 2D-NMR Appliction in Unconventional Reservoirs, SPE Canadian Unconventional Resources Conference, Canada, 30 October-01 November.
[4] Coates, G. R., Xiao, L., and Prammer, M. G., 1999, NMR Logging Principles and Applications, Halliburton Energy Services Houstom, United State of America, 59.
[5] D'Eurydice, M. N., 2011, Desenvolvimento de Metodologiaspara o estudo de MeiosPorososporRessonânciaMagnética Nuclear, Universidade Federal de São Carlos, São Paulo, Brazil.
[6] Doveton, J. H., 2014, Principles of Mathematical Petrophysics, Oxford University Press, 104.
[7] Glover, P. W. J., Zadjli, I. I. and Frew, K. A., 2006, Permeability Prediction from MICP and NMR Data using an Eletrokinetic Approach. Geophysics, 71 (4), F49-F60.
[8] Gonçalves, D. 1971, Física, 1, Brazil.
[9] Henry, A. O., Austin, A. and Curby, F. M., 1995, A Hydraulic (Flow) Unit Based Model for the Determination of Petrophysical Properties from NMR Relaxation Measurements, SPE Annual Technical Conference, Dallas, U.S.A., 22-25 October.
[10] Huntley, H. E., 1958, Dimensional Analysis, Macdonald & Co. Publishers, London.
[11] INMETRO, SistemaInternacional de Unidades (SI), 2007, Rio de Janeiro, Brazil.
[12] Kenyon, W. E., Day, P. I., Straley, C. and Willemsen, J. F., 1988, A Three-part Study of NMR Longitudinal Relaxation Proporties of Water Saturated Sandstones: SPE Formation Evaluation, 3, 622-636.
[13] Kolodzie, S., 1980, Analysis of Pore Throat Size and use of the Waxman-Smit Equation to Determine OOIP in Spindle Field, Annual Thechinical Conference and Exhibition, STE, 55, Dallas, Texas.
[14] Laranja, R. A. C., 2005, Mecânica dos Fluidos, 71-75, Brazil.
[15] Latour, L. L. et al., 1993, Time-Dependent Diffusion Coefficient of Fluids in Porous Media as a Probeof Surface-to-Volume Ration, Journal of Magnetic Resonance, Series A 101, 342-346.
[16] Nussenzveig M. andBlücher E., 1996, Curso de FísicaBásica - Mecânica, 1, Brazil.
[17] Oxford Instruments, 2009, Introduction to Rock Core Analisys, 6.
[18] Rios, E. H., 2005, Estimativa da Permeabilidade de RochasCarbonáticasporRessonânciaMagnética Nuclear: NovasAbordagens, ObservatórioNacional, Rio de Janeiro, Brazil.
[19] Rios, E. H., 2011, CaracterizaçãoPetrofísica de RochasReservatóriopor RMN: AbordagemClássica e ModelosMultivariados, ObservatórioNacional, Rio de Janeiro, Brazil.
[20] Robinson, M. A., Deans, H. A. and Bansal, B. U. S., 1992, Determination of Oil Core Flow Velocities and Porosities Using MRI, SPE Permian Basin Oil and Gas Recovery Conference, Midland, Texas, March 18-20.
[21] Schuab, F. B., Winter, A., Trevisan, O. V. and Bonzanini, L. A. F., 2015, NMR Log Interpretation in Bimodal Carbonate Rocks based on Core-to-Log Ibtegration, SPWLA 56th Annual Logging Symposium, July 18-22.
[22] Sears, F. W., 1947, Física, Magnetismo e Eletricidade, 2, Brazil.
[23] Seevers, D. O., 1966, A Nuclear Magnetic Method for Determining the Permeability of Sandstones, Paper L, Transactions, Annual SPWLA Symposium.
[24] Shedid, A. E., Djebbar, T. and Samuel, O. O., 1998, Enhanced Reeservoir Characterization Using NMR Core and Well-Log Derived Data, SPE Permian Basin Oil and Gas Recovery Conference, Midland, Texas, March 25-27.
[25] Silva, R. O., 2014, Utilização de RMN no Estudo de RochasReservatóriosSiliciclásticas, Universidade Federal de São Carlos, São Paulo, Brazil.
[26] Souza, A. A., 2012, Estudos de PropriedadesPetrofísicas de RochasSedimentaresporRessonânciaMagnética Nuclear, Universidade de São Carlos, São Paulo, Brazil.
[27] Souza, A., Carneiro, G., Zielinski, L., Polinski, R., Schwartz, L., Hürlimann, M. D., Boyd, A., Rios, E. H., Santos, B. C. C., Trevizan, W. A., Machado, V. F. and Rodrigo, B. V. A., 2013, Permeability Prediction Improvement using 2D NMR Diffusion-T2 Maps, SPWLA 54th AnnualLoggingSymposium, June 22-26.
[28] Spearing, M., Allen, T. and Mcaujay, G., 2001, Review of the Winland R35 Method for Pay Definition and its Application in Low Permeability Sands, Core Analysis (SCA), 63, 1-5.
[29] Tiab, D. and Donaldson, E. C., 2004, Theory and Practice of Measuring Reservoir Rock and Fluid Transport Properties, 85-104.
[30] Xiao, L., Lui, X. P., Zou, C. C., Hu, X. X., Mao, Z. Q., Shi, Y. J., Guo, H. P. and Li, G. R., 2014, Comparative Study of Model for Predicting Permeability from Nuclear Magnetic Ressonance (NMR) Logs in Two Chinese Tight Sandstone Reservoirs, ActaGeophysic, 62 (1), 116-141.
Cite This Article
  • 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

    Copy | Download

    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

    Copy | Download

    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

Author Information
  • Department of Quantum Electronics, State University of Rio de Janeiro, Rio de Janeiro, Brasil

  • Geophysics Coordination, National Observatory, Rio de Janeiro, Brasil

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

  • Sections