Prestack migration is performed by reverse - time migration method based on maxwell ' s equations using time - domain finite - difference method 疊前偏移用時間域有限差分求解麥克斯韋方程組的逆時偏移方法實現(xiàn)。
Compared with the conventional finite - difference method on the fixed grid - size rectangular grids , the new method can be more cost - effective in complex models . numerical tests for both seismic modeling and reverse - time migration are performed on various theoretical models and a physical experiment 用該剖分方法得到的網(wǎng)格在各速度層內(nèi)的空間步長是不同的,而全區(qū)域上的時間步長卻近于恒定,因此在復(fù)雜模型上,本文方法的計算效率要高于傳統(tǒng)的矩形網(wǎng)格差分方法。
Prestack migration method , based on wave motion equation , is also developed for receiver function , and compared with ray method . both p - to - s conversion wave and direct p phase contained in receiver function are migrated and imaged by reverse - time migration for data gather including all receiver functions recorded in all seismological stations for one event , and imaging profile is finally obtained by stacking for all events 本文還在接收函數(shù)射線反投影疊加成像的基礎(chǔ)上,提出了一種基于波動方程的接收函數(shù)疊前偏移成像方法,將同一事件接收函數(shù)中的轉(zhuǎn)換波和直達p波震相以各自的速度向深度方向逆時延拓成像,并通過不同慢度接收函數(shù)的疊加,得到最終的偏移成像結(jié)果。
A new finite - difference method is developed for seismic modeling and reverse - time migration based upon the voronoi cell construction on irregular grids . curved velocity boundaries and irregular earth surface can be accurately represented using the irregular grid implementation . therefore the modeled and migrated results can be more accurate , and meanwhile , the efficiency is still preserved using an explicit finite - difference scheme 本文的方法可以實現(xiàn)任意非規(guī)則網(wǎng)格上的顯式差分計算,因此該方法在保持了傳統(tǒng)的矩形網(wǎng)格差分算法簡單、高效特點的同時,又能精確地描述彎曲界面和起伏地表,提高了有限差分地震模擬和偏移結(jié)果的精度。