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首页> 外文期刊>Pure and Applied Geophysics >The Inverse Problem of Refraction Travel Times, Part I:Types of Geophysical Nonuniqueness Through Minimization
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The Inverse Problem of Refraction Travel Times, Part I:Types of Geophysical Nonuniqueness Through Minimization

机译：折射传播时间反问题，第一部分：最小化地球物理非唯一性的类型

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In a set of two papers we study the inverse problem of refraction travel times. The purpose of this work is to use the study as a basis for development of more sophisticated methods for finding more reliable solutions to the inverse problem of refraction travel times, which is known to be nonunique. The first paper, “Types of Geophysical Nonuniqueness through Minimization,” emphasizes the existence of different forms of nonuniqueness in the realm of inverse geophysical problems. Each type of nonuniqueness requires a different type and amount of a priori information to acquire a reliable solution. Based on such coupling, a nonuniqueness classification is designed. Therefore, since most inverse geophysical problems are nonunique, each inverse problem must be studied to define what type of nonuniqueness it belongs to and thus determine what type of a priori information is necessary to find a realistic solution. The second paper, “Quantifying Refraction Nonuniqueness Using a Three-layer Model,” serves as an example of such an approach. However, its main purpose is to provide a better understanding of the inverse refraction problem by studying the type of nonuniqueness it possesses. An approach for obtaining a realistic solution to the inverse refraction problem is planned to be offered in a third paper that is in preparation.
机译：在一组两篇论文中，我们研究了折射传播时间的反问题。这项工作的目的是将这项研究作为开发更复杂方法的基础，以找到更可靠的解决方案来解决折射行程时间反问题，这是众所周知的。第一篇论文“通过最小化进行地球物理非唯一性的类型”强调了反地球物理问题领域中存在不同形式的非唯一性。每种类型的非唯一性都需要不同类型和数量的先验信息才能获得可靠的解决方案。基于这种耦合，设计了非唯一性分类。因此，由于大多数反地球物理问题都是非唯一的，因此必须研究每个反问题以定义其属于哪种类型的非唯一性，从而确定找到实际解决方案所需的先验信息的类型。第二篇论文“使用三层模型量化折射非均匀性”作为这种方法的示例。但是，其主要目的是通过研究其具有的非唯一性类型来更好地理解反折射问题。计划在准备中的第三篇论文中提供一种获得反折射问题的实际解的方法。

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