The representation theorem (equation 1.1) (Maruyama, 1963; Burridge and Knopoff, 1964; Haskell, 1964) relates slip on the fault to ground displacement at an arbitrary point in the field and can be deceptively simple as follows:  

Suppose one has a particular location

On the other hand the description of the source, that is, slip

The Green’s functions can be computed for 3D structures (no topography) using fourth‐order finite‐difference code that includes frequency independent Q (Liu and Archuleta, 2004; Liu and Archuleta, 2006). However, the computational expense for large distances limits the maximum frequency...

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