wave field extrapolation 中文意思是什麼

wave field extrapolation 解釋
波場外推
  • wave : n 〈美海軍〉女志願軍人〈見 WAVES 條〉。n 1 波浪；碎浪； 〈the wave（s）〉 〈詩〉海。2 波動；波狀...
  • field : n 菲爾德〈姓氏〉。n 1 原野，曠野；（海、空、冰雪等的）茫茫一片。2 田地，牧場；割草場；〈pl 〉〈集...
  • extrapolation : 推演
  1. One is the non - orthogonal gabor - daubechies frame, or g - d frame, a complete set of discrete window fourier functions which are constructed by space - shifting and harmonically modulating a gaussian window. although a g - d frame is not an orthogonal basis, it bears considerable advantages for the study of physical problems, especially those related to the wave field extrapolation, due to the optimal localization properties of the gaussian window function under the heisenberg uncertainty principle

    其一為將高斯窗函數經平移和調制而構成的一組窗口富里葉框架（ gabor - daubechies框架，或g - d框架）基本函數，另一種為在富里葉分析和小波包理論基礎上發展起來的局部餘弦基函數。
  2. Advanced mathematical technologies, especially the newly developed wavelet transform and the frame theory, provide a solid foundation for such an effort. the ray - theory based beam - summation method, such as the complex source - generated beam and the gaussian beam methods, and the local phase - space domain ( beamlet domain ) wave field extrapolation methods employing windowed fourier transform ( wft ) or wavelet transform are proposed consequently

    基於射線理論的高頻漸近射束（復射束、高斯射束）疊加方法，以窗口富里葉變換（ wft ）以及小波變換為基礎的局部相位-空間域（小波束域）波場外推方法等相繼產生。
  3. In this thesis, we follow the idea of the beamlet - domain wave field extrapolation methods to construct localized propagators. through comparative study of signal decomposition efficiency using different representation schemes, we select two groups of basic functions with simple expressions and good localization properties for wave field decomposition, propagation and imaging

    本論文通過對wft 、小波基、小波包，以及相關的框架理論等的分析比較，選擇了兩組形式簡單，且具有適宜於波場外推特性的基本函數集合來進行波場分解、傳播及偏移成像問題的研究。
  4. This conversion is based on the analytic expression of sonic and elastic wave equation, and use the different wave field extrapolation, which is initially used in seismic migration and forward modeling. this paper introduces the easy and efficient finite - difference method to realize the conversion by comparing three different methods

    論文經過對三種常規波場延拓方法（ kirchhoff積分法、頻率波數域法和有限差分法）優缺點的比較，採用了簡單易用的有限差分方法來實現這種轉換。
  5. The paper concentrates on seismic wave - field forward modeling and migration for the fractured reservoir. it researches the wavefield extrapolation operator for lateral variation of velocity, design four theoretical models and seven practical models with fracture and cavity. base on the progenitor, in the frequency - wavenumber domain with the pspi wavefield extrapolation operator and arithmetic of forward modeling and migration that applied lateral variation of velocity which is strong, the paper obtains the result of numerical simulation and the wavefield characteristic by the way of the forward modeling and depth migration of poststack seismic wavefield

    本文圍繞縫洞儲層地震波場正演與偏移問題，研究了適用於橫向變速波場延拓運算元，建立了四個理論的縫洞模型和七個實際的縫洞模型，在總結、分析前人的研究成果的基礎上，利用適合橫向速度劇烈變化的相移加插值的波場延拓運算元，在頻率?波數域對上述的地質模型進行正演、偏移處理，最後得到了縫洞儲層地震波場的一些特徵。
  6. From 1920s up to now, various techniques and methods for wave field decomposition, propagation and migration / imaging have been well developed, such as the kirchhoff asymptotic method, frequency - wavenumber domain phase - shift and phase - shift - plus - interpolation methods, and the one - way wave equation based phase - screen and generalized screen methods, etc. wave field extrapolation in these methods is implemented based on the expansion of the wave field by sets of basic functions like spatial fourier harmonies, modes, and green ' s functions

    自上個世紀二十年代至今，波場分解、傳播與偏移成像技術經歷了將近一個世紀的發展，形成了多種不同的方法，如kirchhoff波動方程高頻近似解方法，頻率-波數域的相移（ phase - shift ）方法和相移-內插（ pspi ）方法，以及在混合域中基於單向波動方程的相位屏、廣義屏方法等。
  7. The other is the local cosine bases developed as a kind of orthogonal basis based on the fourier analysis and wavelet - packet theory. in this thesis, theoretical analysis and numerical applications are mainly focused on the beamlet - domain wave field extrapolation using g - d frame propagators. the whole thesis consists of six chapters

    通過對具體信號的分析，對不同變換方法的信號表示效率進行了對比，並總結了g - d框架及對其進行尺度擴展組成的gabor函數族在應用於波場相關的研究中時，優于其它正交分解方法的特性。
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