one-way wave equation 中文意思是什麼
one-way wave equation
解釋
單向波動方程-
In the thesis, the fundamental formula of ffd method derives from the square root that is approximated by a continued fraction expansion in the one - way wave equation. optimizations of the parameters of the finite - difference operator improve the validity of the method
本論文用連分式近似單程波波動方程中的平方根導出ffd演算法的基本公式，並對ffd演算法中的有限差分運算元進行了系數優化，進一步提高了計算的有效性。 -
Comprehensively discuss the issues in application, adaptive condition and performance, propose a fast arithmetic of forward modeling and depth migration in common shot gathers with one - way acoustic wave equation based on vrselrf, and verify the arithmetic by numerical simulation. concisely discuss the cause of the creation of evanescence and the problem of lateral amplitude discontinuity result from it. fourthly, use the reflectivity model, computed to describe the fracture model, with the formula of computation reflectivity based on elastic - acoustic approximation, and the wavelet model computed by the method, wavelet creation with fourier transform, we proposed, in conjunction with vrselrf wavefield extrapolation operator
第三，將頻率波數域穩定的變參考慢度rytov近似廣義屏波場延拓運算元（ vrselrf ）應用於疊前與疊后正演模擬、疊前與疊后深度偏移，對演算法應用中應注意的問題、適用范圍、性能等作了較為全面的論述；提出了基於vrselrf的單程聲波方程共炮記錄正演模擬和深度偏移快速演算法，並通過數值模擬試驗對演算法進行了驗證；簡要地討論了倏逝波的產生原因及其帶來的橫向振幅不連續性問題。 -
Author, starts from the one - way wave equation of wavefield extrapolation, research the relationship and transform condition of wavefield extrapolation operators, and propose the steady variational reference slowness rytov approximation general screen wavefield extrapolation operator ( vrselrf ) which can adapt severe lateral velocity variations, in frequency - wavenumber domain, and the improved wavefield extrapolation scheme, also give the method to improve the computation efficiency. the achievement establishes the theoretic basis of the whole research
首先，從波場延拓的單程波方程出發，系統地研究了頻率波數域的波場延拓運算元之間的相互關系和轉換條件並在此基礎上提出了能適應劇烈橫向變速的頻率波數域穩定的變參考慢度rytov近似廣義屏波場延拓運算元（ vrselrf ）和部分波場延拓改進方案及提高運算效率的措施，為整個研究打下理論基礎。 -
The seismic modeling algorithm includes in two key steps in which one is for calculating effective elastic parameters in a fractured and caved media by using elastic wave equation, the other is for wave extrapolating by using acoustic one - way wave equation based on an equivalent geology model consisting of those effective parameters
地震正演方法包含兩個關鍵步驟，一是利用彈性波動方程計算含縫洞介質的有效彈性參數，另一步驟是根據有效彈性參數構成的等效地質模型，用單程聲學波動方程進行波場延拓。 -
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。 -
Firstly, the paper starts from the one - way wave equation of wavefield extrapolation, research the relationship and transform condition of wavefield extrapolation operators, and improves on the wavefield extrapolation operator and so heightens the operation efficiency, and chooses the pspi that fits to the lateral variation of velocity to resolve the wave - equation, which lay a foundation of the theoretic study
首先，從波場延拓的單程波方程出發，研究了頻率?波數域的波場延拓運算元之間的相互關系和轉換條件，並在此基礎上改進了波場延拓方案和提高了運算效率，選擇了適合於縱橫向速度劇烈變化的pspi方法求解波動方程，為整個研究打下了理論基礎。 -
Different from the scattering theory used in the derivation of conventional generalized screen propagator, in this paper, a high order formula of generalized screen propagator for one - way wave equation is proposed by using the asymptotic expansion of single - square - root operator
摘要不同於常規廣義屏傳播運算元的推導中使用散射理論，本文利用單平方根運算元的漸近展開，推導出了單程波方程廣義屏傳播運算元的高階表達式。
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