The simple model of Figure
1.3.2 illustrates the fundamental idea.
An object in this case, an iron ore deposit, has been magnetized with a magnetization M in the direction of the earth's field H. The magnetized body has its own magnetic field Hsec, which for this body has the roughly dipolar form shown by the dashed lines in the figure. These secondary fields add vectorally to the inducing (Earth's) field. Accurate measurements of the magnetic field along a profile over the body will reveal a characteristic pattern or anomaly caused by the body. For the illustration of Figure 1.3.2 a profile of the vertical component of the magnetic field is plotted above the figure. Instruments used to measure the magnetic field are called magnetometers. An important distinction between the magnetic and gravity methods is that magnetization depends on the inducing field so that the resulting field from an object depends, in a rather complex way, on how the induced field interacts with the inducing field to alter it and hence to change the magnetization. These are the so called demagnetization effects. For gravity the effect of a body is simply the Newtonian gravitational attraction of the point masses which make it up - the force of attraction has no effect on the density. It will be seen later that for most practical situations the magnetization of rocks is weak and a simple approximation does allow magnetic anomalies to be calculated in a manner equivalent to the linear summation used in gravity.
The magnetic and gravity
fields that have been described share a common mathematical property in
that they are curl free. This means that work functions, integrals of force
along paths in space are independent of the path. Such fields are defined
as conservative. Any curl free field can be derived from a potential,
,
via the gradient operation and so gravity and magnetic methods are called
potential field methods.