Forward modeling is the basis of inversion imaging and quantitative interpretation for DC resistivity exploration.Currently,a numerical model of the DC resistivity method must be finely divided to obtain a highly accu...Forward modeling is the basis of inversion imaging and quantitative interpretation for DC resistivity exploration.Currently,a numerical model of the DC resistivity method must be finely divided to obtain a highly accurate solution under complex conditions,resulting in a long calculation time and large storage.Therefore,we propose a 3D numerical simulation method in a mixed space-wavenumber domain to overcome this challenge.The partial differential equation about abnormal potential is transformed into many independent ordinary differential equations with different wavenumbers using a 2D Fourier transform along the x axis and y axis direction.In this way,a large-scale 3D numerical simulation problem is decomposed into several 1D numerical simulation problems,which significantly reduces the computational and storage requirements.In addition,these ordinary 1D differential equations with different wavenumbers are independent of each other and high parallelelism of the algorithm.They are solved using a finite-element algorithm combined with a chasing method,and the obtained solution is modified using a contraction operator.In this method,the vertical direction is reserved as the spatial domain,then grid size can be determined flexibly based on the underground current density distribution,which considers the solution accuracy and calculation efficiency.In addition,for the first time,we use the contraction operator in the integral equation method to iterate the algorithm.The algorithm takes advantage of the high efficiency of the standard Fourier transform and chasing method,as well as the fast convergence of the contraction operator.We verified the accuracy of the algorithm and the convergence of the contraction operator.Compared with a volume integral method and goal-oriented adaptive finite-element method,the proposed algorithm has lower memory requirements and high computational efficiency,making it suitable for calculating a model with large-scale nodes.Moreover,different examples are used to verify the high adaptability and parallelism of the proposed algorithm.The findings show that the 3D numerical simulation method of DC resistivity method in a mixed space-wavenumber domain is highly efficient,precise,and parallel.展开更多
FMCW-SAR因其体积小、重量轻、成本低和高分辨率等优点近年来发展迅速,在低成本的民事应用领域具有广阔的发展前景。传统脉冲SAR的系统冲击响应函数不同于FMCW-SAR,因而,脉冲SAR的快速回波模拟算法不能直接应用于FMCW-SAR。该文在分析...FMCW-SAR因其体积小、重量轻、成本低和高分辨率等优点近年来发展迅速,在低成本的民事应用领域具有广阔的发展前景。传统脉冲SAR的系统冲击响应函数不同于FMCW-SAR,因而,脉冲SAR的快速回波模拟算法不能直接应用于FMCW-SAR。该文在分析了条带FMCW-SAR信号特性的基础上,提出了其原始回波数据的2维频域快速模拟算法。该算法利用FFT快速实现了回波数据时域模拟方法中的距离向和方位向积分运算。与时域模拟方法相比,其计算效率提高了O(N a N r/log 2(N a N r))个数量级。点目标回波数据的仿真实验验证了所提算法的合理性和有效性。展开更多
文摘Forward modeling is the basis of inversion imaging and quantitative interpretation for DC resistivity exploration.Currently,a numerical model of the DC resistivity method must be finely divided to obtain a highly accurate solution under complex conditions,resulting in a long calculation time and large storage.Therefore,we propose a 3D numerical simulation method in a mixed space-wavenumber domain to overcome this challenge.The partial differential equation about abnormal potential is transformed into many independent ordinary differential equations with different wavenumbers using a 2D Fourier transform along the x axis and y axis direction.In this way,a large-scale 3D numerical simulation problem is decomposed into several 1D numerical simulation problems,which significantly reduces the computational and storage requirements.In addition,these ordinary 1D differential equations with different wavenumbers are independent of each other and high parallelelism of the algorithm.They are solved using a finite-element algorithm combined with a chasing method,and the obtained solution is modified using a contraction operator.In this method,the vertical direction is reserved as the spatial domain,then grid size can be determined flexibly based on the underground current density distribution,which considers the solution accuracy and calculation efficiency.In addition,for the first time,we use the contraction operator in the integral equation method to iterate the algorithm.The algorithm takes advantage of the high efficiency of the standard Fourier transform and chasing method,as well as the fast convergence of the contraction operator.We verified the accuracy of the algorithm and the convergence of the contraction operator.Compared with a volume integral method and goal-oriented adaptive finite-element method,the proposed algorithm has lower memory requirements and high computational efficiency,making it suitable for calculating a model with large-scale nodes.Moreover,different examples are used to verify the high adaptability and parallelism of the proposed algorithm.The findings show that the 3D numerical simulation method of DC resistivity method in a mixed space-wavenumber domain is highly efficient,precise,and parallel.
文摘FMCW-SAR因其体积小、重量轻、成本低和高分辨率等优点近年来发展迅速,在低成本的民事应用领域具有广阔的发展前景。传统脉冲SAR的系统冲击响应函数不同于FMCW-SAR,因而,脉冲SAR的快速回波模拟算法不能直接应用于FMCW-SAR。该文在分析了条带FMCW-SAR信号特性的基础上,提出了其原始回波数据的2维频域快速模拟算法。该算法利用FFT快速实现了回波数据时域模拟方法中的距离向和方位向积分运算。与时域模拟方法相比,其计算效率提高了O(N a N r/log 2(N a N r))个数量级。点目标回波数据的仿真实验验证了所提算法的合理性和有效性。
