Theoretical relationship between elastic wave velocity and electrical resistivity

Jong-Sub Lee, Hyung Koo Yoon

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Elastic wave velocity and electrical resistivity have been commonly applied to estimate stratum structures and obtain subsurface soil design parameters. Both elastic wave velocity and electrical resistivity are related to the void ratio; the objective of this study is therefore to suggest a theoretical relationship between the two physical parameters. Gassmann theory and Archie's equation are applied to propose a new theoretical equation, which relates the compressional wave velocity to shear wave velocity and electrical resistivity. The piezo disk element (PDE) and bender element (BE) are used to measure the compressional and shear wave velocities, respectively. In addition, the electrical resistivity is obtained by using the electrical resistivity probe (ERP). The elastic wave velocity and electrical resistivity are recorded in several types of soils including sand, silty sand, silty clay, silt, and clay-sand mixture. The appropriate input parameters are determined based on the error norm in order to increase the reliability of the proposed relationship. The predicted compressional wave velocities from the shear wave velocity and electrical resistivity are similar to the measured compressional velocities. This study demonstrates that the new theoretical relationship may be effectively used to predict the unknown geophysical property from the measured values.

Original languageEnglish
Pages (from-to)51-61
Number of pages11
JournalJournal of Applied Geophysics
Volume116
DOIs
Publication statusPublished - 2015 May 1

Fingerprint

elastic wave
elastic waves
wave velocity
electrical resistivity
S-wave
sands
S waves
sand
clays
silty clay
void ratio
soils
silt
soil
probe
strata
norms
clay

Keywords

  • Bulk modulus
  • Elastic wave velocity
  • Electrical resistivity
  • Porosity

ASJC Scopus subject areas

  • Geophysics

Cite this

Theoretical relationship between elastic wave velocity and electrical resistivity. / Lee, Jong-Sub; Yoon, Hyung Koo.

In: Journal of Applied Geophysics, Vol. 116, 01.05.2015, p. 51-61.

Research output: Contribution to journalArticle

@article{fb05da22d7e54953b2809fcfccfda9f0,
title = "Theoretical relationship between elastic wave velocity and electrical resistivity",
abstract = "Elastic wave velocity and electrical resistivity have been commonly applied to estimate stratum structures and obtain subsurface soil design parameters. Both elastic wave velocity and electrical resistivity are related to the void ratio; the objective of this study is therefore to suggest a theoretical relationship between the two physical parameters. Gassmann theory and Archie's equation are applied to propose a new theoretical equation, which relates the compressional wave velocity to shear wave velocity and electrical resistivity. The piezo disk element (PDE) and bender element (BE) are used to measure the compressional and shear wave velocities, respectively. In addition, the electrical resistivity is obtained by using the electrical resistivity probe (ERP). The elastic wave velocity and electrical resistivity are recorded in several types of soils including sand, silty sand, silty clay, silt, and clay-sand mixture. The appropriate input parameters are determined based on the error norm in order to increase the reliability of the proposed relationship. The predicted compressional wave velocities from the shear wave velocity and electrical resistivity are similar to the measured compressional velocities. This study demonstrates that the new theoretical relationship may be effectively used to predict the unknown geophysical property from the measured values.",
keywords = "Bulk modulus, Elastic wave velocity, Electrical resistivity, Porosity",
author = "Jong-Sub Lee and Yoon, {Hyung Koo}",
year = "2015",
month = "5",
day = "1",
doi = "10.1016/j.jappgeo.2015.02.025",
language = "English",
volume = "116",
pages = "51--61",
journal = "Journal of Applied Geophysics",
issn = "0926-9851",
publisher = "Elsevier",

}

TY - JOUR

T1 - Theoretical relationship between elastic wave velocity and electrical resistivity

AU - Lee, Jong-Sub

AU - Yoon, Hyung Koo

PY - 2015/5/1

Y1 - 2015/5/1

N2 - Elastic wave velocity and electrical resistivity have been commonly applied to estimate stratum structures and obtain subsurface soil design parameters. Both elastic wave velocity and electrical resistivity are related to the void ratio; the objective of this study is therefore to suggest a theoretical relationship between the two physical parameters. Gassmann theory and Archie's equation are applied to propose a new theoretical equation, which relates the compressional wave velocity to shear wave velocity and electrical resistivity. The piezo disk element (PDE) and bender element (BE) are used to measure the compressional and shear wave velocities, respectively. In addition, the electrical resistivity is obtained by using the electrical resistivity probe (ERP). The elastic wave velocity and electrical resistivity are recorded in several types of soils including sand, silty sand, silty clay, silt, and clay-sand mixture. The appropriate input parameters are determined based on the error norm in order to increase the reliability of the proposed relationship. The predicted compressional wave velocities from the shear wave velocity and electrical resistivity are similar to the measured compressional velocities. This study demonstrates that the new theoretical relationship may be effectively used to predict the unknown geophysical property from the measured values.

AB - Elastic wave velocity and electrical resistivity have been commonly applied to estimate stratum structures and obtain subsurface soil design parameters. Both elastic wave velocity and electrical resistivity are related to the void ratio; the objective of this study is therefore to suggest a theoretical relationship between the two physical parameters. Gassmann theory and Archie's equation are applied to propose a new theoretical equation, which relates the compressional wave velocity to shear wave velocity and electrical resistivity. The piezo disk element (PDE) and bender element (BE) are used to measure the compressional and shear wave velocities, respectively. In addition, the electrical resistivity is obtained by using the electrical resistivity probe (ERP). The elastic wave velocity and electrical resistivity are recorded in several types of soils including sand, silty sand, silty clay, silt, and clay-sand mixture. The appropriate input parameters are determined based on the error norm in order to increase the reliability of the proposed relationship. The predicted compressional wave velocities from the shear wave velocity and electrical resistivity are similar to the measured compressional velocities. This study demonstrates that the new theoretical relationship may be effectively used to predict the unknown geophysical property from the measured values.

KW - Bulk modulus

KW - Elastic wave velocity

KW - Electrical resistivity

KW - Porosity

UR - http://www.scopus.com/inward/record.url?scp=84923865322&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84923865322&partnerID=8YFLogxK

U2 - 10.1016/j.jappgeo.2015.02.025

DO - 10.1016/j.jappgeo.2015.02.025

M3 - Article

AN - SCOPUS:84923865322

VL - 116

SP - 51

EP - 61

JO - Journal of Applied Geophysics

JF - Journal of Applied Geophysics

SN - 0926-9851

ER -