Gradient methods of gravity inversion

Aeeordiug t(j fonnula (G..12), w( have the following e.xpression for the complex inlensity of the gravity field  

U here. -I [j ] de iiotes the forward tnodi.-ling u )eratoi.  

Let us assuiiKt that. we. havir observed some gravity lic ld (iv Cf) on the luni /ontal axis, r (. — 0), and the domain P is located in the lower half-i lane. The problem is to (k termiiK tlu dcaisity p(C)- 

We int roduce a complex Ilillrei t space D of dat a (gravity field) with the metric 

The gravity inver.se probkun can be formulated as the minimization of the misfit functional  

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