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Resistivity

Resistivity

When a voltage is applied to a conductor, an electrical field is generated, and charges in the conductor feel the force due to the electrical field. The current density that results depends on the electrical field and the properties of the material. In some materials, including metals at a given temperature, the current density is approximately proportional to the electrical field. In these cases, the current density can be modeled as:

Response Surface Methodology

Response Surface Methodology

Response Surface Methodology (RSM) is a collection of statistical and mathematical techniques used to develop, improve, and optimize processes. It is particularly valuable when many input variables or factors potentially influence a response variable.
The process of RSM involves several key steps:

Susceptibility, Permittivity and Dielectric Constant

Susceptibility, Permittivity and Dielectric Constant

When placed in an external electric field, a dielectric material gets polarized. The charge density in the dielectric material is given by the sum of the bound and free charge densities, while the total charge density can also be written in terms of the total electric field. The bound charge density can be measured in terms of polarization, leading to the relationship between electric displacement and polarization.

Electrical Conductivity

Electrical Conductivity

In perfect conductors, the electric field inside is always zero due to the abundance of free electrons, which nullify any field by flowing. As a result, any residual charge resides on the surface.
In a practical conductor, an applied electric field may be sustained, causing a flow of electrons, which produce a current. The differential form of the current, the current density, is related to the electric field.
More generally, it is related to the force per unit charge, which involves the...

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Related Experiment Video

Updated: Mar 1, 2026

Finite Element Modelling of a Cellular Electric Microenvironment

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

Scenario Evaluator for Electrical Resistivity Survey Pre-modeling Tool.

Neil Terry, Frederick D Day-Lewis¹, Judith L Robinson²

¹Office of Groundwater, Branch of Geophysics, U.S. Geological Survey, Storrs, CT 06269.

|May 26, 2017

Summary

Electrical resistivity imaging (ERI) limitations are often misunderstood. A new tool, SEER, helps users assess ERI survey viability and interpretability before field investigations.

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Area of Science:

Geophysics
Environmental Science
Hydrogeology
Geotechnical Engineering

Background:

Electrical resistivity imaging (ERI) is a valuable geophysical technique for environmental, water resource, and geotechnical applications.
Overinterpretation of ERI data can arise from a lack of understanding regarding technique limitations, such as depth penetration and resolution.
These limitations are site-specific and survey-design dependent, necessitating pre-field assessment.

Purpose of the Study:

To address the challenges of understanding ERI limitations by developing an accessible tool.
To enable users to evaluate the potential value and interpretability of ERI surveys for specific project goals.
To provide a resource for industry, teaching, and research professionals.

Main Methods:

The study introduces a novel spreadsheet-based tool named the Scenario Evaluator for Electrical Resistivity (SEER).
SEER features a graphical user interface for manipulating subsurface resistivity models.
The tool simulates how proposed ERI surveys would interpret these models, facilitating pre-field assessment.

Main Results:

SEER allows users to visualize the likely interpretation of ERI surveys based on user-defined resistivity models.
The tool provides instant feedback on the potential outcomes of ERI surveys.
It simplifies the complex process of ERI forward and inverse modeling.

Conclusions:

SEER enhances the practical application of ERI by demystifying its limitations.
The tool empowers users to make informed decisions about incorporating ERI into their projects.
SEER promotes more effective and realistic utilization of geophysical methods in various scientific and engineering fields.