We introduce figure repair technology based on partial differential equation into seismic data digital processing, and put forward seismic data repair technology based on diffusion filtering method. The technology diffuses undamaged area's data to data to be repaired using diffusion filtering method with a certain diffusion function. In each iteration, only the data to be repaired is updated, and undamaged area' s data is remained unchanged. Final iteration termination condition can be ensured by comparing difference with threshold before and after iterations. Two application examples of seismic data interpolation processing and seismic data local repair processing show that the technology can achieve the purpose of repairing seismic data. It recovers effectively lost seismic wave field information. Therefore, it can be used in practical seismic data digital processing.

From PM equation we derive muhi-dimensionay diffusion filtering equation discrete formula and its stable condition. We construct multi-scale decomposition and reconstruction method based on diffusion filtering, and provide two specific implementation plans. Application in practical seismic data shows that the method is reasonable and reliable. In the first plan 2D Fourier wave-number spectrum main energy is away from spectrum center with increase of scale, and residual signal acts at high wave numbers, which shows perfect application in random noise suppression. In the second plan 2D Fourier wave-number spectrum energy is close to spectrum center with increase of scale, and residual signal acts at low wave numbers, which shows perfect application in low-frequency reverse time migration noise suppression. The method computation is simple and easy to implement. It provides a multi-scale decomposition and reconstruction method for signal processing. It may has great application in seismic signal processing.

We present an equivalent dual elastic wave separation equation, which simulates particle-velocity, pressure, divergence and curl fields in pure P- and S- modes. The method is used in full elastic wave numerical simulations. We give complete derivations of explicit high-order staggered-grid finite difference discrete equations, together with stability condition, dispersion relation and perfectly matched layer (PML) absorbing boundary condition. Theoretical analysis and numerical simulations show that pare P-waves and S-waves in final numerical results are completely separated in the method. Effect of absorbing boundary is perfect. Storage and computing time requirements are greatly reduced compared with previous works.

Delaunay background grid,edge spring grid and linear spring grid are used to study computational domain grid movement on non-structural grid and structure grid for non-streamlined bridge section.It shows that the methods are effective as grid deformation within a normal vibration amplitude of the bridge section.Delaunay grid background method consumes the least time and the linear spring grid method obtains the highest quality.It also shows that with large amplitudes,structural grid is invalid easily and linear spring grid method ensures effectively.

An iterative method for unstructured dynamic-grid using springs based on LU-SGS (lower-upper symmetric Gauss-Seidel) is presented to reduce time of iterative in dynamic discontinuities simulation. Dynamic grid iterative time is as much as time of field itemtive as shock and flex-wall are numerical fitting by time-dependent Euler equations, because dynamic boundary is moving and whole unstructured grids are updated in every step of field iterative. A sparse matrix mapping grid topology based on spring strategy is presented. LU-SGS strategy is used in numerical simulation and dynamic grid is managed in order to solve the time choke point. Numerical results show that LU-SGS iterative method can be used to dynamic discontinuities fitting by implicit scheme. The presented method decreases more than 20% iterative time than classical SOR method.

In order to simulate the cooling of electronic devices by solid-liquid phase change materials (PCM) the problem on two-dimensional melting heat transfer in a rectangular enclosure with discrete heat sources on one of its vertical walls has been solved numerically.Effect of Stefan number on the solid-liquid interfacial shape and wall temperature varition along the height of the wall are also discussed.

In this paper, the model was designed the domain with 11 vertical levels and has been replaced cumulus parameterization with an explicit treatment of moist thermodynamics. The results show:(1) it is vast potential to design an explicit model for precipitation prediction.(2) Taking account of explicit scheme is improved in heign field. Surface pressure field and surface temperature.