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The Physical Environment

Seeing through the Surface

Geophysical Methods Lecture

Top | Introduction | Resistivityproperty | Rock Resistivity | Measuring Resistivity | Case Study


This lecture looks at applications of geophysicsin environmental studies. The Main objective is
to alert you to the possibilities of using geophysical data in problem-solving.

General Scheme

Simple Textbooks


What is it?

Geophysics is

"The use of observations of physical phenomena to infer the structure of the Earth."

Geophysics observes

the effects of differences in physical properties of rocks of different kinds.

Why do it?

Geophysics uses

Measurements made at, or near, the surface (or in boreholes)

Geophysics produces

Models showing physical property distributions below the surface

These distributions are interpreted in terms of other information about the soil or rock.


A simple example

Magnetic Field Mapover Steel Drum


Rock Property Examples are shown in the graphic.

Physical Fields corresponding to these properties are listed inthe next graphic.


By measuring these physical fields,Geophysics allows "remote sensing" of rocks below the surface.

Fields are usually measured at the Earth's surface, but give rise to a third-dimensionalview.


Anomalies

In this lecture, we look only at ElectricalMethods, relating to a later section in the subject, on Groundwater. Electricalmethods can give an image response over all of the subsurface, showing structuressuch as layers and changes in water properties.

But there's more
Seismic, Magnetic and Gravity fieldmeasurements can also be directly applicable, but will be described someother time! (For further introductory information, see the Website for therecently-withdrawn subject Geophysicsand Remote Sensing.)


Electrical Methods

Top | Introduction | Resistivityproperty | Rock Resistivity | Measuring Resistivity | Case Study

Electrical properties


Soils and rocks show differences inelectrical resistivity, due mainly to their porosity and saturatingfluids.

Fluids are especially important, since these carry the electrical current.

Ohm's Law and Resistance


See the graphicfor a reminder about the definition of the Resistance of an object.

 

Property of Matter?

How does Ohm's Law apply to current flowingwithin an extensive body such as the Earth?

To start, take samples of rock, and make "resistors" from them.What determines the Resitance of those resistors?

The next graphicshows how experiments lead to the definition of the property "Resistivity",which is a basic physical property of materials.

Resistivity

 Summarising the observations suggeststhat a single parameter is needed to define the dependence on the materialfrom which the resistor is made. The relationship becomes  

Resistivity, a Property of Matter

For extended volumes (e.g. soil, rock,water) the "resistor" model is inappropriate

Resistivity is the material property. (Conductivity - the inverse - is alsoused.)

Matter Resistivities


Units of resistivity are Ohm.m

The range is extremely wide!

Fluid Resistivities


Resistivity of groundwater dependson salinity, temperature

For Salinity S in g/l
Temperature 20 C
Resistivity in ohm.m is given by:
 

Note that the Resistivity of hydrocarbonfluids is generally very high - they are good insulators.

Top | Introduction | Resistivityproperty | Rock Resistivity | Measuring Resistivity | Case Study


Rock resistivities

The next graphicshows some general rock resistivities for orientation purposes. Note thatthe near-surface materials such as alluvium are in general less resistivethan "solid" rocks.

Real Rocks

Generally, rocks and soils in situare:

Archie's Law

This is based on observations of saturatedsediments.

It is observational, and empirical, butit is

Consistent with theory that current flowsthrough fluid, not "rock"

Why this form?

Distinguishing between earth materials

Distinguishing between earth materials

Top | Introduction | Resistivityproperty | Rock Resistivity | Measuring Resistivity | Case Study


Measuring Earth Resistivity Distributions:
Using four electrodes on the surface

With four electrodes, we can measure voltage difference set up by known currents. These measurements are inverted to resistivity values. Usually, the electrodes are set up in one of a number of geometrically-simple Resistivity layouts.


 For example, for four electrodes in line, equally spaced (distance a) [Wenner Array], it's easy to show that

 

 So measuring resistivity is "easy"

This technique is generally known as"Galvanic Resistivity".

Surface electrical mapping.

Array size and response to layers:

Top | Introduction | Resistivityproperty | Rock Resistivity | Measuring Resistivity | Case Study


Landfill study Dataexample

This shows the result of one such "depthsounding", with the interpretation on the right of the graphic. Thebackground to this experiment was as follows:

Landfill study