Strategies for Modelling Spherical and Aspherical Earth Structure Using Long-Period Seismic Data

吉尔伯特9316435 这项研究是应用新的建模策略，在全球地震学的问题，已被证明难以解决使用传统技术。 所关注的问题是高度非线性的和/或具有多个解最小值，这使得梯度技术不可用，并且一般搜索技术过于昂贵。 在自然发生的系统中，基于与优化的类比的发展正在导致可以有效地搜索模型空间的实用算法。 这类算法包括模拟退火、遗传算法和进化规划。 该算法将被应用到两个具体的问题：球对称地球模型的自由振荡测量数据集，和波形建模的1-D和3-D结构。 ***

9316435 Gilbert This research is the application of new modeling strategies to problems in global seismology which have proven difficult to solve using conventional techniques. The problems of concern are highly nonlinear and/or have multiple solution minima, which makes gradient techniques unusable and general search techniques prohibitively expensive. Developments based on analogies with optimization in naturally occurring systems are leading to practical algorithms which can efficiently search model space. This class of algorithms includes simulated annealing, genetic algorithms, and evolutionary programming. The algorithms will be applied to two specific problems: spherically symmetric earth models from datasets of free-oscillation measurements, and waveform modeling of 1-D and 3-D structure. ***