Two-dimensional models of gravity and magnetic fields

In some practical situations we can assume that the density, p(r), or magnetization, I(r), of the rocks does not change in one horizontal direction, say in the y direction. In this case p r) and I(r) are the functions of two variables, x and z  

Note that the y - components of gravity and magnetic fields vanish, and the X- and 2 - components arc determined by calculating an elementary integral along the, // axis  

Substituting expression (6.10) back into formulae (6.8) and (6.9). we find 

2 Integral representations of potential litrlds based on the theory ol funclions of a complex v ariable 

Integral representations in forward modeling of gravity and magnetic fields 

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