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瑞雷波场正演模拟及频散曲线的提取

Rayleigh Wave Field Simulation Modeling and Frequency Dispersion Curves of Extraction

【作者】 邓乐翔

【导师】 李庆春;

【作者基本信息】 长安大学 , 地球探测与信息技术, 2010, 硕士

【摘要】 面波勘探是在近几年才兴起的一种浅层勘探方法。它广泛应用于工程勘探,岩土工程,以及地基评估等方面。在工程物探方法中占据着重要的地位。其原因在于通过所测得面波记录计算出频散曲线就可以直接对场地进行分层,此方法简便、经济、实用。因此,对瑞雷面波的传播规律和机理的认识,和准确的提取出频散曲线就显的尤为重要。本文阐述了瑞雷波的基本理论及其传播振动特性。通过一阶速度-应力弹性波动方程用交错网格有限差分法,对其进行数值求解,实现了瑞雷面波的数值模拟,得到了其波场快照和面波理论记录,并利用简单模型验证其正确性。在提取频散曲线方面介绍并实现了三种方法:f-k法、τ-p法、相移法。传统的f-k法、τ-p法所提取的频散曲线,速度都是不等距变化的。本文在传统的方法基础上做了改进,能够直接在f-v谱上提取频散曲线,避免了传统的f-k法、τ-p法所提取的频散曲线的突跳现象。首先通过正演数值模拟出理论面波记录,然后利用各种方法在理论记录上提取频散曲线,再用频散曲线的正演验证其所提取频散曲线的正确性,最后比较并分析了各种方法所求出频散曲线的优劣性。发现τ-p法、相移法的效果较f-k法好,更加较为贴近理论正演结果,实际应用中应作为首选方法。对实测记录提取了频散曲线,指出了论文中需要更加深入研究的内容和方向。

【Abstract】 The surface wave exploration is a recently developed shallow exploration methods. It is widely used in engineering exploration, geotechnical engineering, groundwork evaluating, and so on. It plays an important role in engineering geophysical method. Its reason is through dispersion curves can be directly layer explanation. This method is simple, economical and practical. Therefore, Understand the Rayleigh wave propagation mechanism, and accurately extract frequency dispersion curve is significant particularly important.This thesis expounds the basic theory and the Rayleigh wave propagation characteristics of vibration. Through the first-order speed-stress elastic wave equation with the finite difference method and staggered grids, realized the Rayleigh wave numerical simulation, got the wave field snapshots and wave theory records, and used the simple model to test its true. To extracting frequency dispersion curves, introduced and realized fulfill the three methods: f-k method,τ-p method and phase-shift method. The extraction rate of the frequency dispersion curves which extracted by traditional method is not isometric changes. This thesis modified the traditional method. It can directly extract frequency dispersion curves in the f-v spectrum, avoided jump phenomena of frequency dispersion curves extraction which extracted by f-k method andτ-p method.First, simulated a theory of surface wave record, second, used all sorts of methods on record extracting frequency dispersion curves with, then verified its correctness by theoretical frequency dispersion curves, finally compared and analyzed the frequency dispersion curves. Discoveredτ-p method and phase-shift method effect is good, more close to the theoretical results. These two kinds of methods should be the top-choice in practical application.Extracted the frequency dispersion curves of field data and pointed out in the thesis to more in-depth study of the content and direction.

  • 【网络出版投稿人】 长安大学
  • 【网络出版年期】2011年 03期
  • 【分类号】P631.4
  • 【被引频次】11
  • 【下载频次】597
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