In seismic exploration, regularized migration inversion of seismic data usually requires solving a weighted least-squares problem with constrains. It is well known that directly solving this problem using some decomposition techniques is very time-consuming, which makes it less possible for practical use. For iterative methods, previous research is mainly on solving the inverse model in a full ...

The Tweedie family of distributions is a family of exponential dispersion models with power variance functions V (μ) = μp for p 6∈ (0, 1). These distributions do not generally have density functions that can be written in closed form. However, they have simple moment generating functions, so the densities can be evaluated numerically by Fourier inversion of the characteristic functions. This pa...

S U M M A R Y Gravity inversion allows us to constrain the interior mass distribution of a planetary body using the observed shape, rotation and gravity. Traditionally, techniques developed for gravity inversion can be divided into Monte Carlo methods, matrix inversion methods and spectral methods. Here we employ both matrix inversion and Monte Carlo in order to explore the space of exact solut...

'N a recent paper' the question has been raised as ~ to whether the weak interactions are invariant under a space inversion. It was also pointed out there that similar to the situation for space inversion there exists at present no experimental proof that weak interactions are invariant under charge conjugation. Consequently the absolute invariance under charge conjugation is also an open quest...

In this article, we have effectively used the Numerical Inversion of Laplace transform to study the time-dependent thin film flow of a second grade fluid flowing down an inclined plane through a porous medium. The solution to the governing equation is obtained by using the standard Laplace transform. However, to transform the obtained solutions from Laplace space back to the original space, we ...

APPROACH Consider the simulated SW06 scenario with a “true” bottom consisting of 3 sediment layers (to­ taling 22m in depth extent – a medium thickness) where all three sediment layers are each defined by a linear sound-speed profile (and constant densities) all over a half-space (constant sound-speed and density) as seen in Fig. 1. For the inversion processing we shall (as in earlier work) ass...