By Prabhakar S. Naidu and M.P. Mathew (Eds.)
While a few priceless info is hidden in the back of a mass of undesirable info we frequently lodge to details processing utilized in its large experience or particularly to sign processing whilst the important details is a waveform. In geophysical surveys, particularly in aeromagnetic and gravity surveys, from the measured box it is usually tough to assert a lot approximately anybody particular aim until it truly is just about the skin and good remoted from the remainder.
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Additional info for Analysis of Geophysical Potential Fields
12). 56) where S~u,v) is the spectrum (power spectrum) of the stochastic field f(x,y). The spectrum of a stochastic process is discussed further in Chapter 3. 1. Let ~p(x,y,z) be a random potential field in free space. 57) (2O where H(u,v,z) is selected so that ~o(x,y,z) satisfies Laplace's Eq. 1) and dO(u, v) is a random function. Substituting Eq. 57) into Eq. 12. (a) Non-intersecting and (b) intersecting sets of points in the Fourier plane. 58) Note that the +ve sign is not acceptable as it would lead to a non-decreasing potential as z --+ +oo.
4. 5. First consider the gravity effect of the left half layer. We shall apply the result previously derived for vertical prism. We need to introduce two modifications, namely, shift the origin from the midpoint of AB to B and evaluate the contribution of side AD, which is now at infinity. The contribution of the side DA becomes zero as the thickness of the layer goes to zero when the top surface AB and the bottom surface DC meet at infinity, Contribution of DA - H (1 - exp(JulH)) exp(lu](H + h) +jua)--+ O, lu[H H---~ 0 Thus, the effect of the semi-infinite layer is essentially due to side BC given by Eq.
Indeed, a very complex source model may be decomposed into many simple prisms and later linearly combined to form the closest approximation to the actual model. 5. Stochastic models I: r a n d o m interface The central theme in the current section and in the following section is that the potential fields are caused by stochastic sources of two types, namely, a random interface separating two homogeneous media; for example, sedimentary rocks overlying a granitic basement and a horizontal layer of finite thickness wherein the density or magnetization is varying randomly.
Analysis of Geophysical Potential Fields by Prabhakar S. Naidu and M.P. Mathew (Eds.)