ZHANG Ke, GONG Huili, LI Xiaojuan, ZHU Lin, WANG Che, CHEN Beibei, HE Jijun, GUO Lin, LYU Mingyuan, YAN Qianmeng, Li Jiangtao
Land subsidence is an important factor that influences the sustainable development of a region. Due to the complexity of land subsidence, the uncertainty and risk caused by land subsidence disasters are increasing. Therefore, new methods need to be developed to quantify the nonlinear land subsidence processes, identify emerging risk, and improve urban resilience. In this paper, the necessity of introducing peridynamic to land subsidence modeling is discussed by analyzing the progress and shortcomings of current land subsidence modeling. For natural discontinuous structures such as fractures and faults, current deterministic models based on differential equations are insufficient to describe land subsidence. Therefore, the peridynamic theory which is suitable for discontinuous and nonlinear characteristics is introduced. The peridynamic theory (PD) describes the mechanical behavior of matter by solving integral equations and has advantages in analyzing discontinuous and multi-scale problems. The applicability of peridynamic in land subsidence is analyzed from the aspects of material properties and modeling methods, respectively. By establishing a peridynamic model of land subsidence, discontinuous disasters such as ground crack and ground collapse can be included, so as to realize the multi-field and multi-scale recognition of land subsidence under a unified framework. In the light of the “Higher-bigger-deeper” urban construction, combined with the CAS-ESM, the simulation of future evolution of ground subsidence and ground fractures can be carried out. However, there are still problems to be solved in the interdisciplinary research, such as the reasonable generalization of material properties, material structure, and the balance between operation accuracy and operation cost. Then, based on theoretical principles, the modeling method, solving process, and optimization method of peridynamic land subsidence model are given. Besides the establishment, solution and optimization of the model, a variety of spatial monitoring methods and data are also needed, e.g., subsidence data monitored by InSAR technology, the underground structure and density information obtained by Seismic Frequency Resonance Technology (SFRT), bedrock and stratified scale data, groundwater level data, building information data, and road network data. In this paper, a peridynamic land subsidence model with a range of 4km*6km and a depth of 0.2 km is established in Liyuan-Taihu -Zhangjiawan area in the eastern Beijing, and the evolution process of land subsidence is simulated by using the monthly average rate of groundwater level decline from 2007 to 2010 as the boundary condition. The mean absolute error between the simulated and the measured values is 18mm, which verifies the effectiveness of this interdisciplinary research. The peridynamic theory has superiority in the field of materials and the study of fatigue, damage, fracture, and so on. Our study provides new ideas and new methods for regional land subsidence modeling. Furthermore, with the support of big data, cloud computing platforms, and Geo-AI, new opportunities are emerging for preventing, controlling, slowing down, and avoiding land subsidence hazards.