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Finite difference model of a four-electrode conductivity measurement system Cover

Finite difference model of a four-electrode conductivity measurement system

Journal of Electrical Bioimpedance
Volume 7 (2016): Issue 1 (January 2016)
By: Noel D. Montgomery and  Jack L. Lancaster  
Open Access
|May 2016

Figures & Tables

Figure 1

Electrode configuration of a 4EM system.
Electrode configuration of a 4EM system.

Figure 2

Orientation, conductivity, and potential of each face of a cube.
Orientation, conductivity, and potential of each face of a cube.

Figure 3

Top right had corner of finite difference matrix. C is the multiplier of the unknown potential at each adjacent face.
Top right had corner of finite difference matrix. C is the multiplier of the unknown potential at each adjacent face.

Figure 4

Convergence plot for an isotropic infinite space.
Convergence plot for an isotropic infinite space.

Figure 5

Convergence plot for an anisotropic infinite space, transverse direction
Convergence plot for an anisotropic infinite space, transverse direction

Figure 6

Convergence diagram for an anisotropic infinite space, longitudinal direction
Convergence diagram for an anisotropic infinite space, longitudinal direction

Figure 7

Potential on the surface and at depth in an isotropic infinite halfspace
Potential on the surface and at depth in an isotropic infinite halfspace

Figure 8

Potential on the surface and at depth in an anisotropic infinite halfspace, transverse direction
Potential on the surface and at depth in an anisotropic infinite halfspace, transverse direction

Figure 9

Potential on the surface and at depth in an anisotropic infinite halfspace, longitudinal direction
Potential on the surface and at depth in an anisotropic infinite halfspace, longitudinal direction

Figure 10

Geometries for analysis of 4EM system response. Top figure: infinite space. Central figure: infinite halfspace with probes on surface. Bottom figure: layer inclusion in infinite space.
Geometries for analysis of 4EM system response. Top figure: infinite space. Central figure: infinite halfspace with probes on surface. Bottom figure: layer inclusion in infinite space.

Figure 11

Predicted response of the 4EM system at depths from 3 to 7 mm
Predicted response of the 4EM system at depths from 3 to 7 mm

Figure 12

Probe with 5 degree positioning error
Probe with 5 degree positioning error

Figure 13

Effect of 5 degree positioning error on 4EM system response
Effect of 5 degree positioning error on 4EM system response
DOI: https://doi.org/10.5617/jeb.2641 | Journal eISSN: 1891-5469
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Language: English
Page range: 6 - 12
Submitted on: Dec 29, 2015
Published on: May 27, 2016
Published by: University of Oslo
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Keywords:
Conductivity measurement,
current,
voltage,
electrodes
Related subjects:
Engineering,
Bioengineering and biomedical engineering,
Biomedical electronics,
Life sciences,
Biophysics,
Medicine,
Biomedical engineering,
Physics,
Spectroscopy and metrology

© 2016 Noel D. Montgomery, Jack L. Lancaster, published by University of Oslo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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