本文關(guān)鍵詞： 擴(kuò)展最優(yōu)近似解析離散化 彈性波方程 數(shù)值模擬 穩(wěn)定性條件 數(shù)值頻散　出處：《石油地球物理勘探》2017年05期 　論文類型：期刊論文

【摘要】：地震波場數(shù)值模擬是研究地震波理論、偏移成像和地震反演等工作的基礎(chǔ),提高數(shù)值模擬的精度具有重要意義。在前人的研究基礎(chǔ)上,提出了一種擴(kuò)展的近似解析離散化數(shù)值模擬方法,并從理論上對(duì)該方法的精度、數(shù)值頻散、穩(wěn)定性和計(jì)算效率進(jìn)行了分析。該方法在時(shí)間差分上比擴(kuò)展前提高了一階精度、誤差最大降低了88%。與其他近似解析離散化類方法一樣,具有算子半徑小和適應(yīng)粗網(wǎng)格步長的優(yōu)勢(shì),在最小主波長內(nèi)僅需使用5.9個(gè)網(wǎng)格點(diǎn)。與四階Lax-Wendroff修正格式和交錯(cuò)網(wǎng)格有限差分格式的頻散曲線和模擬結(jié)果對(duì)比,驗(yàn)證了該方法能更好地壓制數(shù)值頻散。二維各向同性均勻介質(zhì)和水平層狀介質(zhì)模型數(shù)值模擬的地震彈性波場特征清晰準(zhǔn)確,說明了該方法的實(shí)用性。
[Abstract]:Numerical simulation of seismic wave field is the basis of studying seismic wave theory, migration imaging and seismic inversion. It is of great significance to improve the accuracy of numerical simulation. An extended approximate analytical discretization numerical simulation method is proposed, and the accuracy, numerical dispersion, stability and computational efficiency of the method are analyzed theoretically. Like other approximate analytical discretization methods, it has the advantages of small operator radius and adapting to coarse mesh step size. Only 5.9 mesh points are used in the minimum main wavelength. Compared with the dispersion curves and simulation results of the fourth order Lax-Wendroff modified scheme and the staggered grid finite difference scheme, It is verified that this method can suppress numerical dispersion better. The seismic elastic wave field characteristics of two-dimensional isotropic homogeneous medium and horizontal layered media model are clear and accurate, which shows the practicability of the method.
【作者單位】： 長江大學(xué)地球物理與石油資源學(xué)院;油氣資源與勘探技術(shù)教育部重點(diǎn)實(shí)驗(yàn)室(長江大學(xué));東方地球物理公司國際勘探事業(yè)部;
【基金】：國家“973”計(jì)劃項(xiàng)目(2013CB228605) 中國石油科技創(chuàng)新基金項(xiàng)目(2015D-5006-0301)聯(lián)合資助
【分類號(hào)】：P631.4
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本文編號(hào)：1545982