An efficient karst fracture seepage path construction algorithm based on a generalized disk model
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ORIGINAL PAPER
An efficient karst fracture seepage path construction algorithm based on a generalized disk model Xiaoping Rui 1,2
&
Tian Yu 2
Received: 3 November 2018 / Accepted: 8 March 2019 # Saudi Society for Geosciences 2019
Abstract The identification and reconstruction of karst fracture networks have always been an important and difficult research topic in the field of karst groundwater resources and geological environment protection. Based on the original surface fracture data obtained in Zhangfang, Fangshan district in southwest of Beijing, and the surface fracture records processed through the Kriging interpolation method, we propose a method for the construction of a flow path based on a disk model. We focus on identifying the flow path in a three-dimensional fracture structure and underground fracture data obtained by the Monte Carlo method. The flow path along the fracture generalized by the disk model is simulated using a directed graph data structure and is stored in an adjacency matrix. To meet the demands of fast intersection operation with large-scale fracture data and to improve the operating efficiency of a karst fracture simulation system, this paper first divides the study space into smaller blocks and then uses a threedimensional R-tree index algorithm to reduce the time required to traverse each sampling point. Finally, based on the sampled surface fracture data from Zhangfang, this paper studies the distribution model for a three-dimensional fracture space with the assistance of a remote sensing geological survey, fine geological survey of key karst areas, and sampling analysis. The algorithm for building the path of karst fractures was also simulated. It provides a visualization analysis approach to study the karst development mechanism and numerical simulation of karst water fractures in Zhangfang. Keywords Karst area . Fracture . Disk model . Seepage path
Introduction Karst fractures, the groundwater conduits, play an important role in groundwater flow. Therefore, the study on the spatial distribution of fractures is essential to understand groundwater migration (Berkowitz 2002). The karst fracture network model constructed by the integration of both surface fracture data and underground fracture data is the basis for simulating the migration of fissure water and pollutants in the fracture media. The discontinuity, inhomogeneity, and anisotropy in the development of karst fractures result in greatly different Editorial handling: Chen Mingjie * Xiaoping Rui [email protected] 1
School of Earth Sciences and Engineering, Hohai University, Nanjing 211000, China
2
College of Resource and Environment, University of Chinese Academy of Sciences, Beijing 100049, China
conditions of groundwater flow, which poses huge challenges to research groundwater seepage along fractures (Batu 2009; Brkic et al. 2018; Ford and Williams 2007). This paper aims at simulating crack seepage in karst areas and establishing a three-dimensional fracture network model to provide a solid theoretical basis for com
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