Mathematical Sciences: Transport Theory for Seismic Wave Propagation

数学科学：地震波传播的输运理论

• 批准号: 9419084
• 负责人: George Papanicolaou
• 金额: $ 5万
• 依托单位: Stanford University
• 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=9419084&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Transport; Theory; Seismic

9419084 Papanicolaou 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.

小行星9419084 辐射传输理论是分析地震能量在地壳中非相干传输的主要工具，地壳是一种非常复杂的非均匀弹性介质。 但目前它的应用仅限于无限延伸的各向同性结构，并且没有考虑：（i）包括表面波在内的不同弹性波模式之间的能量传递，（ii）地壳中不均匀性的各向异性性质，（iii）大尺度结构和平均传播速度的不连续性（4）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中辐射传输理论的基础，以便尽可能减少或消除上述缺点。 我们将利用我们对理论，计算和经验方法的广泛理解来分析随机介质中的波。