Collaborative Research: High-Fidelity Modeling of Poromechanics with Strong Discontinuities

合作研究：具有强不连续性的孔隙力学的高保真度建模

• 批准号: 1911325
• 负责人: Ruijie Liu
• 金额: $ 10万
• 依托单位: University of Texas at San Antonio
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-07-15 至 2020-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1911325&HistoricalAwards=false
• 关键词: Collaborative; Research; Fidelity; Modeling; Poromechanics

Poromechanics with strong discontinuities has numerous important applications such as simulating fluid flow in natural static and hydraulic dynamic fractures, fracture analysis of aging bones, multiple-network poroelastic theory arising in dementia and Alzheimer's disease, and evaluation of accelerated degradation of ceramic matrix composites in aerospace shuttles. Here mathematical modeling is challenging because it involves not only coupled chemical reactions, diffusion, and deformation but also initiation, propagation, and branching of cracks in the bulk matrix as well as fluid flowing through cracks. To address these challenges, high fidelity numerical schemes and multiphysics models must be coupled in order to simulate these processes and their interactions accurately and efficiently. This project will benefit public and decision makers including energy producers, health providers, aerodynamicists, and hydrogeologists.The objective of this project is to study the following fundamental relationships linking flow, chemistry, and mechanics: stability, a priori, and a posteriori error estimation of dynamic discontinuous Galerkin discretizations, physically consistent material models for the deformation and failure of the media, efficient and accurate material solution techniques, and scaling characteristics of mechanical properties. This knowledge will be used in the design of locally conservative finite element methods coupling porous media flow, reactive transport, and mechanics that run efficiently on high-performance computing platforms. The team will investigate: (1) Development of fundamental understanding of poromechanics with strong discontinuities in the setting of chemo-mechanical coupled models; (2) Formulation and analyses of flow, mechanical, and reactive transport models solved using high-fidelity numerical algorithms; (3) Developing error estimates for iterative coupling solution techniques; (4) Verifying and validating fluid structure interactions using published data from target data sets.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

具有强不连续性的孔洞力学在模拟自然静态和水力动态断裂中的流体流动、老化骨骼的断裂分析、痴呆和阿尔茨海默病的多网络孔弹性理论以及评价航天飞机上陶瓷基复合材料的加速退化等方面有着重要的应用。在这里，数学建模是具有挑战性的，因为它不仅涉及耦合的化学反应、扩散和变形，而且还涉及主体基质中的裂纹的萌生、扩展和分支以及流过裂纹的流体。为了应对这些挑战，必须将高保真数值格式和多物理模型结合起来，以便准确和有效地模拟这些过程及其相互作用。该项目将使公众和决策者受益，包括能源生产者、健康提供者、空气动力学家和水文地质学家。该项目的目标是研究以下联系流动、化学和力学的基本关系：稳定性、动态不连续Galerkin离散化的先验和后验误差估计、介质变形和破坏的物理一致的材料模型、高效和准确的材料求解技术以及力学特性的标度特性。这些知识将用于设计局部保守的有限元方法，将多孔介质流动、反应输运和力学有效地结合在高性能计算平台上。该团队将调查：(1)在化学-力学耦合模型的设置中，对具有强不连续性的孔隙力学的基本理解的发展；(2)使用高保真数值算法解决的流动、力学和反应传输模型的形成和分析；(3)开发迭代耦合解决方案技术的误差估计；(4)使用来自目标数据集的公布的数据来验证和验证流体结构相互作用。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。