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Matrix form of quasi-analytical approximation

The modified conductivity matrix and vector play an important role of quasi-linear inversion, which we will discuss in the next chapter. 9.4-8 Matrix form of quasi-analytical approximation in the method [Pg.280]

Finally, the quasi-analytical approximations (9.90) and (9.91) of the anomalous electric and magnetic fields in discrete form can be written as  [Pg.280]

We use the following notations in the last formulae. The vectors eg and hg represent the discrete quasi-analytical approximations of the anomalous electric and magnetic fields at the observation points. Vector I is a V x 1 column vector whose elements are all unity. The N xl column vector g ( r) represents the function 5f(r) (equation (9.88)) at the center of each cell  [Pg.280]

Direct calculations show that vector g(cr) can be expressed by matrix multiplication  [Pg.280]

Let us introduce a notation d for an electric or magnetic vector of the anomalous part of tiic observed data. This vector contains the components of tlic anomalous electric and/or magnetic fields at the receivers. The discrete forward modeling problem for the electromagnetic field based on the QA approximation can be expressed by the following matrix operations  [Pg.281]




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