Equations 30, 43 and 44 lead to the following Dix-type inversion formula
(48)
where
and
with
denote the coefficients for the reflections from the top and bottom of the
-th layer respectively, and
denotes the interval coefficient in the
-th layer.
is vertical one-way traveltime with the similar notation rules. We can convert equation 48 to a familiar form (Dix, 1955) by expressing it in terms of interval moveout velocity
and
as follows:
(49)
Equation 49 is a scalar form of the tensor equation 30 for the special case of aligned orthorhombic layers.
Theory of interval traveltime parameter estimation in layered anisotropic media