In this paper, we propose and analyze an accelerated augmented Lagrangian method(denoted by AALM) for solving the linearly constrained convex programming. We show that the convergence rate of AALM is O(1/k^2) whil...In this paper, we propose and analyze an accelerated augmented Lagrangian method(denoted by AALM) for solving the linearly constrained convex programming. We show that the convergence rate of AALM is O(1/k^2) while the convergence rate of the classical augmented Lagrangian method(ALM) is O1 k. Numerical experiments on the linearly constrained 1-2minimization problem are presented to demonstrate the effectiveness of AALM.展开更多
Walkaway VSP technology is commonly seen in the seismic development stage in the middle and late stages of the oilfield.Its advantage over conventional zero-offset VSP and non-zero well-source distance VSP is mainly d...Walkaway VSP technology is commonly seen in the seismic development stage in the middle and late stages of the oilfield.Its advantage over conventional zero-offset VSP and non-zero well-source distance VSP is mainly due to the higher coverage of the Walkaway VSP acquisition process and the larger acquisition range.The resolution and signal-to-noise ratio are higher.Walkaway VSP technology has a very good application effect on solving complex structural problems and thin interbed reservoir problems.This paper mainly introduces a VSP constrained sparse spike inversion method based on high-precision VSP data.For the data acquired by the eight-azimuth Walkaway VSP in a work area of Bohai Gulf,a new method of 3D seismic-VSP joint seismic inversion is established.In the application of the actual work area,good inversion results based on Walkaway VSP data were obtained,and a new R24 small layer above the top boundary of the NmRIll oil group was depicted.This result meets the needs of development seismic technology and is used to solve thin interbed reservoirs exploration problems that have very important practical significance.展开更多
基金Supported by Fujian Natural Science Foundation(2016J01005)Strategic Priority Research Program of the Chinese Academy of Sciences(XDB18010202)
文摘In this paper, we propose and analyze an accelerated augmented Lagrangian method(denoted by AALM) for solving the linearly constrained convex programming. We show that the convergence rate of AALM is O(1/k^2) while the convergence rate of the classical augmented Lagrangian method(ALM) is O1 k. Numerical experiments on the linearly constrained 1-2minimization problem are presented to demonstrate the effectiveness of AALM.
基金supported by the Natural Science Foundation of China(41974124)the China Scholarship Council(201906440068).
文摘Walkaway VSP technology is commonly seen in the seismic development stage in the middle and late stages of the oilfield.Its advantage over conventional zero-offset VSP and non-zero well-source distance VSP is mainly due to the higher coverage of the Walkaway VSP acquisition process and the larger acquisition range.The resolution and signal-to-noise ratio are higher.Walkaway VSP technology has a very good application effect on solving complex structural problems and thin interbed reservoir problems.This paper mainly introduces a VSP constrained sparse spike inversion method based on high-precision VSP data.For the data acquired by the eight-azimuth Walkaway VSP in a work area of Bohai Gulf,a new method of 3D seismic-VSP joint seismic inversion is established.In the application of the actual work area,good inversion results based on Walkaway VSP data were obtained,and a new R24 small layer above the top boundary of the NmRIll oil group was depicted.This result meets the needs of development seismic technology and is used to solve thin interbed reservoirs exploration problems that have very important practical significance.