CIG Workshop on Mathematical and Computational Issues in the Solid Earth Geosciences

这次讲习班的目的是将固体地球地球科学家、数学家、计算科学家和计算机科学家聚集在一起，集中讨论固体地球动力学问题所产生的具体问题，事实证明这些问题对研究地球动力学和建立地球动力学模型既困难又关键。这些问题构成了地球动力学计算基础设施(CIG)的核心活动，并为多尺度/多物理建模和推理提供了新的挑战和机遇。本次研讨会将集中讨论三个相关的重大挑战问题。以及随之而来的数学/计算问题：1.地幔对流和岩石圈变形(具有复杂流变性的大规模固体变形)2.岩浆动力学(多物理问题：强变形、反应介质中的流体/固体耦合流动)3.地壳动力学和地震周期(多尺度脆性力学和断层演化)本研讨会核心的地球物理模型在下面进一步发展，并提供了一套共同的数学和计算问题，这些问题对于研究耦合的自然系统至关重要。其中包括用于耦合问题的线性和非线性求解器和预条件，用于具有时空局部化的系统的多尺度方法，多尺度材料建模，以及用于综合观测和动力学的数据同化和反演。这些问题与地下水流或气候模拟等其他应用领域相辅相成，但又有显著不同。因此，这次研讨会的一个主要目标是促进固体地球科学家、数学家、计算机科学家和计算科学家之间的新合作，以便在这些关键问题上取得重大进展。拟议的会议形式是为期两天半的会谈和讨论，将地球科学应用与数学/计算问题和方法紧密联系在一起。此外，讲习班还将讨论为一般社区开发、传播和支持先进的协作建模软件方面的关键问题，这对气候变化国际工作组的使命至关重要。该研讨会为学生、早期职业科学家和一系列学科的资深科学家提供了合作研究的新机会。重点开发用于探索耦合系统的先进计算方法和软件应该对包括地下流体流动、地震工程和灾害在内的广泛相关问题有用。

The purpose of this workshop is to bring together solid-earth geoscientists, mathematicians, computational and computer scientists to focus on specific issues arising from a range of solid-Earth dynamics problems that have proven both difficult and critical for progress in studying and modeling the dynamics of the planet. These problems form the core activities for the Computational Infrastructure for Geodynamics (CIG) and provide new challenges and opportunities in multi-scale/multiphysics modeling and inference. This workshop will focus on three related ?grand challenge problems? and their attendant mathematical/computational issues: 1. Mantle Convection and Lithospheric Deformation (large scale solid deformation with complex rheologies) 2. Magma Dynamics (multi-physics problems: Coupled fluid/solid flow in strongly deformable, reactive media) 3. Crustal Dynamics and the Earthquake Cycle (Multi-scale brittle mechanics and fault evolution) The geophysical models at the heart of this workshop are developed further below and provide a common set of mathematical and computational problems that are essential for studying coupled natural systems. These include linear and nonlinear solvers and pre-conditioners for coupled problems, multi-scale methods for systems with space-time localization, multi-scale material modeling, and data-assimilation and inversion for integrating observations and dynamics. These problems complement, but have significant differences from other application areas such as subsurface flow or climate modeling. Thus a primary goal of this workshop is to foster new collaborations between solid Earth scientists, mathematicians, computer scientists, and computational scientists that can make significant progress on these critical problems. The proposed meeting format is two and a half days of talks and discussion that closely connect the Earth science applications and mathematical/computational problems and methods. In addition, the workshop will discuss critical issues in developing, disseminating and supporting advanced, collaborative modeling software for the general community, which is central to the CIG mission. This workshop provides new opportunities for collaborative research for students, early career scientists and senior scientists across a range of disciplines. The focus on developing advanced computational methods and software for exploring coupled systems should be useful for a wide range of related problems including subsurface fluid flow, earthquake engineering and hazards.