the use of stokes boundary values problems for the determination of the geoid requires that gravity anomalies (as boundary values) are known on geoid (as boundary). while, the gravity observations are measured on the earth's surface, to obtain boundary data, the surface gravity anomalies does are downward from the terrain onto geoid. for downward continuation (dwc) of surface gravity anoma...

In this study, the swing-up of a double inverted pendulum is controlled by nonlinear model predictive control (NMPC). The fast computation algorithm called C/GMRES (continuation/generalized minimal residual) is applied to solve a nonlinear two-point boundary value problem over a receding horizon in real time. The goal is to swing-up and stabilize two pendulums from the downward to upright posit...

Downward continuation is a key technique for processing and interpreting gravity anomalies, as it has major role in reducing values to horizontal planes identifying small shallow sources. However, can be unstable inaccurate, particularly when depth increases. While the Milne Adams–Bashforth methods based on numerical solutions of mean-value theorem have partly addressed these problems, more acc...

Wave field continuation transforms seismic record section data directly into velocity-depth space, simultaneously providing an estimate of model nonuniqueness. This inversion, previously used for reflection and refraction data, converts readily to spherical earth problems through simple adjustments in each of the two linear transformations: the slant stack and downward continuation. Because the...

The paper describes a method of gravity data inversion, which is based on parallel algorithms. choice the density model initial approximation and set solution sought guarantees stability We offer new upward downward continuation algorithm for separating effects shallow deep sources. Using separated field layers, distribution restored in form 3D grid. use iterative algorithms restoration values ...

The comparison of subsalt images obtained by common-azimuth migration and singlearrival Kirchhoff migration demonstrates the potential of wave-equation migration when the velocity model causes complex multipathing. Subsalt reflectors are better imaged and the typical Kirchhoff artifacts caused by severe multipathing disappear. A detailed analysis of common-azimuth images indicates that the resu...

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Reflections and refractions from wide-angle, densely sampled, multi channel streamer data are transformed automatically to the slowness-depth domain using a downward continuation algorithm. The method may be used to rapidly obtain velocity functions for use in pre-stack depth migration processes. Incorporation of the reflection data has the potential to produce velocity images in complex geolog...