Abstract
The travel time computation of microseismic waves in different directions (particularly, the diagonal direction) in three-dimensional space has been found to be inaccurate, which seriously affects the localization accuracy of three-dimensional microseismic sources. In order to solve this problem, this research study developed a method of calculating the P-wave travel time based on a 3D high-order fast marching method (3D_H_FMM). This study focused on designing a high-order finite-difference operator in order to realize the accurate calculation of the P-wave travel time in three-dimensional space. The method was validated using homogeneous velocity models and inhomogeneous layered media velocity models of different scales. The results showed that the overall mean absolute error (MAE) of the two homogenous models using 3D_H_FMM had been reduced by 88.335%, and 90.593% compared with the traditional 3D_FMM. On that basis, the three-dimensional localization of microseismic sources was carried out using a particle swarm optimization algorithm. The developed 3D_H_FMM was used to calculate the travel time, then to conduct the localization of the microseismic source in inhomogeneous models. The mean error of the localization results of the different positions in the three-dimensional space was determined to be 1.901 m, and the localization accuracy was found to be superior to that of the traditional 3D_FMM method (mean absolute localization error: 3.447 m) with the small-scaled inhomogeneous model.
Highlights
Microseismic monitoring technology is a geophysical technology used to evaluate the impacts, effects, and underground state of production activities through the observations and analyses of microseismic events [1]
This study found that the majority of the aforementioned methods have focused on calculating the P-wave travel time and locating microseismic sources in two-dimensional space
The results showed that the overall mean absolute error (MAE) of homogenous models using 3D_H_FMM had been reduced by 88.335% with the in order to solve the above-mentioned accuracy problems, a 3D high-order scaled homogeneous model, and 90.593% with the large-scaled homogeneous mod fast marching method (3D_H_FMM) was developed, which focused on the introduction pared with the traditional
Summary
Microseismic monitoring technology is a geophysical technology used to evaluate the impacts, effects, and underground state of production activities through the observations and analyses of microseismic events [1]. This type of technology has been widely used in mining [2,3], tunnel construction [4,5], slope [6,7], hydraulic fracturing [8,9], reservoirs [10,11], and other fields. If the calculation of the P-wave travel time is inaccurate, it will have a major impact on the microseismic source localization results. Fast marching methods (FMM) with local grid refinement (LGRs) combined with embedded discrete fracture models (EDFM) have been successful in simulating high-frequency fractures [14]
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