Collaborative Research: "Error Estimation, Data Assimilation and Uncertainty Quantification for Multiphysics and Multiscale Processes in Geological Media"

应用高性能计算来模拟在多个空间和时间尺度上发生的地下过程是一个科学上的重大挑战，对整个社会具有重要意义。对这一重大挑战的研究是高等数学、计算机科学、流体和固体力学以及应用概率和统计学的融合。研究人员提出了一个新的视角，通过调查和制定严格的误差估计的数值方案，用于模拟地下介质中的多物理场，多尺度过程。这些误差估计器与先进的计算方法相结合时，可以显着加快任务的不确定性评估和反馈控制的地下过程。不确定性量化方案将使用一个计算机框架，该框架严格考虑到多物理场、多数值、多尺度和多域耦合产生的动态和复杂的通信和协调模式。此外，该项目还利用来自密西西比克兰菲尔德示范点的真实的现场数据，研究了诸如含盐含水层中的碳封存等现实物理模型。最终的变革目标是实现预测和决策模拟，工程师可以可靠地预测、控制和管理人类与地质系统的相互作用。有许多应用将受益于更好地理解和集成的多孔流动和固体变形，如地面沉降，孔隙塌陷，空穴生成，水力压裂，热压裂，井筒坍塌，出砂和断层复活。此外，基础计算技术将可用于其他科学和工程领域的许多其他应用。包括求解器技术，以及涉及偏微分方程高保真数值模拟的算法。为了促进具有不同背景和技术专长的研究人员之间的合作，研究人员提出了一个独特的夏季研究驻留计划。在该项目下，整个团队将在夏季聚集在一起，参加由该项目高级研究人员举办的一系列短期课程和研讨会。通过经济地质局，UT地球物理研究所和UT奥斯汀石油和地球系统工程中心之间的隔离培训，推广，研究教育（STORE）倡议，计划对高中进行推广。

The application of high performance computing to model subsurface processes occurring over multiple spatial and temporal scales is a science grand challenge that has important implications to society at large. Research on this grand challenge is at the confluence of advanced mathematics, computer science, fluid and solid mechanics and applied probability and statistics. The researchers propose a fresh new perspective by investigating and formulating rigorous error estimators for the numerical schemes employed to model multiphysics, multiscale processes in subsurface media. These error estimators when coupled with advanced computational methods can significantly speed up the task of uncertainty assessment and feedback control of subsurface processes. The uncertainty quantification scheme will use a computer framework that rigorously takes into account the dynamic and complex communication and coordination patterns resulting from multiphysics, multinumerics, multiscale and multidomain couplings. In addition, this project investigates realistic physical models such as carbon sequestration in saline aquifers with real field data from the Cranfield Mississippi demonstration site.The ultimate transformative goal is to achieve predictive and decisional simulations, in which engineers reliably predict, control, and manage human interaction with geosystems. There are numerous applications that would benefit from a better understanding and integration of porous flow and solid deformation such as surface subsidence, pore collapse, cavity generation, hydraulic fracturing, thermal fracturing, wellbore collapse, sand production and fault reactivation. Moreover, the underlying computational technology will be available to other areas of science and engineering for many other applications. Included are the solver technology, and the algorithms to be developed involving high fidelity numerical simulation of partial differential equations. In order to foster collaboration between researchers with diverse backgrounds and technical expertise, the researchers propose a unique summer research residency program. Under this program the entire team will come together for a two week period during the summer and participate in a series of short courses and seminars presented by the senior researchers on the project. Outreach to high schools is planned through the sequestration training, outreach, research & education (STORE) initiative jointly between the Bureau of Economic Geology, UT Institute of Geophysics and the Center for Petroleum and Geosystems Engineering at UT Austin.