Collaborative Research:Reproducible research and educational software for geoscience data analysis in spherical and planar geometry

协作研究：用于球面和平面几何地球科学数据分析的可重复研究和教育软件

• 批准号: 1550389
• 负责人: Frederik Simons
• 金额: $ 9.63万
• 依托单位: Princeton University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-07-01 至 2019-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1550389&HistoricalAwards=false
• 关键词: Collaborative; Research; Reproducible; research; educational

This project will develop, formalize, and improve documentation and functionality for a set of codesused for research and education in geophysics but of potential application in other fields. The projectwill continue algorithmic development and documentation of software for geophysical analysis usingwavelets, vector spherical harmonics and Slepian functions. Examples are: in geodynamics, the description of deformation in and of the Earth; in geomagnetics, the lithospheric magnetic field; in geodesy, models of terrestrial and planetary gravity; and any directional spherical processes that are vectorial in nature in other fields of science and engineering. The codes support (or will support) decomposition of fields, harmonic analysis, power spectral estimation, inversion parameterization, vectorfield analysis, and satellite data. The project will also develop software for analysis of Ground PenetratingRadar data. The work will involve students and course work between two very different institutions incontinual use, testing, and input to the development of the codes. Analyses in vector-spherical harmonics are well established, but only legacy code, mostly in Fortran, exists to date. Matlab or Octave software archives are much needed, especially in the light of modern-day mathematical methods which consist in forming optimized linear combinations of vector harmonics into bandlimited, geographically localized functions: the so-called Slepian basis. Designing algorithms, and programming them well, in a robust and reproducible manner, is demanding but not often considered a scientific objective per se. The society at large, and the scientific community, are best served when all research-grade and educational code is fully documented and available, ready to run by novice or expert alike. Matlab and Octave are portable, low-threshold scripting languages that blend low-level flexibility, intermediate complexity and high-performance.

本项目将开发、规范和改进一套用于物理学研究和教育但在其他领域有潜在应用的代码的文档和功能。该项目继续使用小波、矢量球谐函数和Slepian函数进行地球物理分析软件的算法开发和文档编制。示例如下：在地球动力学中，描述地球内部和地球的变形;在地磁学中，描述岩石圈磁场;在大地测量学中，描述地球和行星重力模型;在其他科学和工程领域中，描述任何方向性的球面过程。 这些代码支持（或将支持）场分解、谐波分析、功率谱估计、反演参数化、矢量场分析和卫星数据。该项目还将开发用于分析探地雷达数据的软件。这项工作将涉及两个非常不同的机构之间的学生和课程工作不连续的使用，测试和输入的代码的发展。矢量球谐函数的分析已经很好地建立起来，但到目前为止，只有遗留代码，主要是Fortran。Matlab或Octave软件档案是非常需要的，特别是在现代数学方法的基础上，这些方法包括将矢量谐波的优化线性组合形成为带限的、地理上局部化的函数：所谓的Slepian基。设计算法，并以健壮和可重复的方式对它们进行编程，要求很高，但通常不被认为是科学目标本身。当所有的研究级和教育级代码都被完整地记录下来并可用时，整个社会和科学界都得到了最好的服务，准备好由新手或专家运行。Matlab和Octave是可移植的低门槛脚本语言，融合了低级别的灵活性，中等复杂性和高性能。