基于扩展数值流形元方法的多裂隙岩体破坏过程数值模拟研究

The long-run purpose of the rock mechanism and its application is to efficiently control the form and rate of fracture network under expectation in the progressive fracturing process. The recent development on techniques of measure, identification, mathematical description suitable for rock mass, and advanced numerical simulation methods in rock field, has approached to mature condition to combine them together. Such progress has also created the technological possibility to realize quantitatively numerical derivation and more accurate simulation on the whole progressive failure process for fractured rock mass. However, due to the high technique challenges for numerical method, it still lacks sufficient preparation works in the area of data structure transition, Large-Scale computation management, and numerical constitutive setting for rock structure. Faced with such limitations, this proposal aims to build up the data structure transition between descriptions on fracture network and numerical modelling; It would utilize the numerical manifold elements as fundamental platform to explore Hybrid eXtended numerical algorithm, and strategically select functional modules (e.g., contact algorithm, crack algorithm) with high performance effectiveness; It also targets on setting up a systematic numerical tool for accurately analyzing Progressive Failure Process for mutli-level jointed Rock Mass, based on clearly sorted rock materials and constitutive configurations on structural facets; It would further apply the developed tool to analyze and identify the major controlling factors, coefficients, and characteristic signals through the damage process. Such research results would have significant potential in real engineering practice, especially in the development of new energy exploitation industry.

有效的控制岩体按照预想的形态和速率渐进式致裂，并确保大规模岩体的长期稳定性，是岩石力学及其应用领域长期的目标。随着近年来适用岩体的探测、识别、数学描述技术和各类新型数值分析方法的大力发展，两者融合的条件日趋成熟，也为实现定量数值正演和精细模拟岩体渐进式破坏全过程创造技术可能。但由于该方面研究具有较高的技术门槛且起步较晚，在数据结构过渡、控制计算规模、数值岩体各级本构梳理等方面的前期工作仍然大量缺失。针对这些不足，本申请项目立足于建立裂网描述与数值建模之间的数据结构过渡，以改良的混合型数值算法—扩展数值流形元为开发平台，综合选择“性效比”高的功能模块（如，接触算法，开裂算法等），在清晰梳理岩石材料和结构面本构定义的基础上，旨在打造一套精细模拟多裂隙岩体渐进式破坏的数值工具，并寄以该工具分析破坏过程的各类主控因素和解译过程中的特征信号。项目研究成果将在新型能源开发工业中具有较大的工程实用价值。

模拟裂隙（节理）岩体的破裂过程是计算岩石力学面临的科学挑战，也是地质和工程灾害防治、能源和资源开发领域亟需解决的技术难题之一。本研究分别从“裂网描述”和“数值方法”两个创新步骤出发，最终汇聚成一套精细模拟岩体渐进式破坏过程的数值分析平台。.该研究采用了理论分析、算法推演和编程、试验验证等多种手段，在经典数值流形方法NMM的框架中，将裂隙网络模型融入岩体数值模型中，利用NDDA/NMM双覆盖概念，通过细观层次简单的界面粘接和开裂，模拟宏观层次的裂纹萌生、扩展、贯通乃至岩体破碎的全过程，以此建立模拟含原生断续结构面岩体的非连续数值理论模型。该套算法的研发为揭示岩体工程断裂灾害的孕育机理、提高防控技术的针对性提供了有力的工具。.主要研究贡献如下：1、提出一种强调典型节理岩体的宏、细观几何物理特征的数值分析建模方法；2、实现了自然岩体结构（裂隙网络）的精细描述模型与数值计算数据结构兼容的非流形拓扑描述及转换通道；