Mathematical Sciences: Transport Theory for Siesmic Wave Propagation. A Proposal for Collaborative Research Researchin Geosciences, Geography and Mathematical Sciences

数学科学：地震波传播的输运理论。

• 批准号: 9419073
• 负责人: Ru-Shan Wu
• 金额: $ 5万
• 依托单位: University of California-Santa Cruz
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-02-01 至 1998-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9419073&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Transport; Theory; Siesmic

9419073 Wu Radiative transport theory is the principle tool for analyzing the incoherent transport of seismic energy in the earth's crust, which is a very complex, inhomogeneous elastic medium. But its use at present is limited to isotropic structures of infinite extend and does not account for: (i) energy transfer among different elastic wave modes, including surface waves, (ii) the anisotropic nature of the inhomogeneities in the earth's crust, (iii) the large scale structure and discontinuities in the mean propagation speeds (the Moho discontinuity, for example), (iv) coherent effects in the process of energy transfer. Papanicolaou and Wu propose to collaborate on developing the foundations of radiative transport theory in seismic wave propagation in a systematic and flexible way so that the above shortcomings can be minimized, or eliminated if possible. We will use our extensive understanding of theoretical, computational and empirical methods for the analysis of waves in random media.

地壳是一种非常复杂的非均匀弹性介质，辐射输运理论是分析地震能量在地壳中非相干输运的主要工具。但目前它的应用仅限于无限延伸的各向同性结构，并没有考虑到：(i)不同弹性波模式之间的能量传递，包括表面波；（ii）地壳非均质性的各向异性；（iii）大尺度结构和平均传播速度的不连续（例如莫霍不连续）；（iv）能量传递过程中的相干效应。Papanicolaou和Wu建议以系统和灵活的方式合作开发地震波传播的辐射输运理论基础，以便尽可能减少或消除上述缺点。我们将运用我们对理论、计算和经验方法的广泛理解来分析随机介质中的波。