Brittleness of rock plays a significant role in exploration and development of shale gas reservoirs. Young＇s modulus and Poisson＇s ratio are the key param- eters for evaluating the rock brittleness in shale gas expl...Brittleness of rock plays a significant role in exploration and development of shale gas reservoirs. Young＇s modulus and Poisson＇s ratio are the key param- eters for evaluating the rock brittleness in shale gas exploration because their combination relationship can quantitatively characterize the rock brittleness. The high- value anomaly of Young＇s modulus and the low-value anomaly of Poisson＇s ratio represent high brittleness of shale. The technique of pre-stack amplitude variation with angle inversion allows geoscientists to estimate Young＇s modulus and Poisson＇s ratio from seismic data. A model constrained basis pursuit inversion method is proposed for stably estimating Young＇s modulus and Poisson＇s ratio. Test results of synthetic gather data show that Young＇s modulus and Poisson＇s ratio can be estimated reasonably. With the novel method, the inverted Young＇s modulus and Poisson＇s ratio of real field data focus the layer boundaries better, which is helpful for us to evaluate the brittleness of shale gas reservoirs. The results of brittleness evaluation show a good agreement with the results of well interpretation.展开更多
The signal processing problem has become increasingly complex and demand high acquisition system,this paper proposes a new method to reconstruct the structure phased array structural health monitoring signal.The metho...The signal processing problem has become increasingly complex and demand high acquisition system,this paper proposes a new method to reconstruct the structure phased array structural health monitoring signal.The method is derived from the compressive sensing theory and the signal is reconstructed by using the basis pursuit algorithm to process the ultrasonic phased array signals.According to the principles of the compressive sensing and signal processing method,non-sparse ultrasonic signals are converted to sparse signals by using sparse transform.The sparse coefficients are obtained by sparse decomposition of the original signal,and then the observation matrix is constructed according to the corresponding sparse coefficients.Finally,the original signal is reconstructed by using basis pursuit algorithm,and error analysis is carried on.Experimental research analysis shows that the signal reconstruction method can reduce the signal complexity and required the space efficiently.展开更多
A new first-order optimality condition for the basis pursuit denoise （BPDN） problem is derived. This condition provides a new approach to choose the penalty param- eters adaptively for a fixed point iteration algori...A new first-order optimality condition for the basis pursuit denoise （BPDN） problem is derived. This condition provides a new approach to choose the penalty param- eters adaptively for a fixed point iteration algorithm. Meanwhile, the result is extended to matrix completion which is a new field on the heel of the compressed sensing. The numerical experiments of sparse vector recovery and low-rank matrix completion show validity of the theoretic results.展开更多
This paper considers a corrupted compressed sensing problem and is devoted to recover signals that are approximately sparse in some general dictionary but corrupted by a combination of interference having a sparse rep...This paper considers a corrupted compressed sensing problem and is devoted to recover signals that are approximately sparse in some general dictionary but corrupted by a combination of interference having a sparse representation in a second general dictionary and measurement noise.We provide new restricted isometry property(RIP)analysis to achieve stable recovery of sparsely corrupted signals through Justice Pursuit De-Noising(JPDN)with an additional parameter.Our main tool is to adapt a crucial sparse decomposition technique to the analysis of the Justice Pursuit method.The proposed RIP condition improves the existing representative results.Numerical simulations are provided to verify the reliability of the JPDN model.展开更多
基于反射系数奇偶分解的基追踪反演方法,补充了地震资料中所缺失的低频与高频信息,较好地提高了反演结果对地层的分辨能力。但仅仅使用稀疏约束加入的低频信息缺乏合理性,可能与工区的实际地质情况不符,需要进一步改善反演结果的横向连...基于反射系数奇偶分解的基追踪反演方法,补充了地震资料中所缺失的低频与高频信息,较好地提高了反演结果对地层的分辨能力。但仅仅使用稀疏约束加入的低频信息缺乏合理性,可能与工区的实际地质情况不符,需要进一步改善反演结果的横向连续性。因此,提出在基追踪反演目标函数中加入模型约束,得到模型约束的基追踪反演目标函数,并使用梯度投影稀疏重构(Gradient Projection for Sparse Reconstruction,GPSR)算法进行求解。模型约束的加入增强了反演的稳定性,使得反演结果中的低频信息更加符合工区实际地质背景信息,并且能够改善反演结果的横向连续性。楔形模型和实际数据测试结果表明,模型约束基追踪反演方法不仅保持了基追踪反演的稀疏性,地层阻抗呈现块化,反射界面刻画清晰,而且反演方法更为稳定,反演结果的横向连续性得到了改善,从而验证了该方法的可行性。展开更多
基金the sponsorship of the National ‘‘973 Program’’ of China (2013CB228604)the National Grand Project for Science and Technology (2011ZX05030004-002)+6 种基金China Postdoctoral Science Foundation (2014M550379)Natural Science Foundation of Shandong (2014BSE28009)Science Foundation for Post-doctoral Scientists of Shandong (201401018)Science Foundation for Post-doctoral Scientists of QingdaoScience Foundation from SINOPEC Key Laboratory of Geophysics (33550006-14-FW2099-0038)the support of the Australian and Western Australian governments and the North West Shelf Joint Venture partnersthe Western Australian Energy Research Alliance (WA:ERA)
文摘Brittleness of rock plays a significant role in exploration and development of shale gas reservoirs. Young＇s modulus and Poisson＇s ratio are the key param- eters for evaluating the rock brittleness in shale gas exploration because their combination relationship can quantitatively characterize the rock brittleness. The high- value anomaly of Young＇s modulus and the low-value anomaly of Poisson＇s ratio represent high brittleness of shale. The technique of pre-stack amplitude variation with angle inversion allows geoscientists to estimate Young＇s modulus and Poisson＇s ratio from seismic data. A model constrained basis pursuit inversion method is proposed for stably estimating Young＇s modulus and Poisson＇s ratio. Test results of synthetic gather data show that Young＇s modulus and Poisson＇s ratio can be estimated reasonably. With the novel method, the inverted Young＇s modulus and Poisson＇s ratio of real field data focus the layer boundaries better, which is helpful for us to evaluate the brittleness of shale gas reservoirs. The results of brittleness evaluation show a good agreement with the results of well interpretation.
基金This project is supported by the National Natural Science Foundation of China(Grant No.51305211)Natural Science Foundation of Jiangsu(Grant No.BK20160955)Jiangsu Government Scholarship for Overseas Studies,College students practice and innovation training project of Jiangsu province(Grant No.201710300218),and the PAPD。
文摘The signal processing problem has become increasingly complex and demand high acquisition system,this paper proposes a new method to reconstruct the structure phased array structural health monitoring signal.The method is derived from the compressive sensing theory and the signal is reconstructed by using the basis pursuit algorithm to process the ultrasonic phased array signals.According to the principles of the compressive sensing and signal processing method,non-sparse ultrasonic signals are converted to sparse signals by using sparse transform.The sparse coefficients are obtained by sparse decomposition of the original signal,and then the observation matrix is constructed according to the corresponding sparse coefficients.Finally,the original signal is reconstructed by using basis pursuit algorithm,and error analysis is carried on.Experimental research analysis shows that the signal reconstruction method can reduce the signal complexity and required the space efficiently.
基金supported by the National Natural Science Foundation of China(No.61271014)the Specialized Research Fund for the Doctoral Program of Higher Education(No.20124301110003)the Graduated Students Innovation Fund of Hunan Province(No.CX2012B238)
文摘A new first-order optimality condition for the basis pursuit denoise （BPDN） problem is derived. This condition provides a new approach to choose the penalty param- eters adaptively for a fixed point iteration algorithm. Meanwhile, the result is extended to matrix completion which is a new field on the heel of the compressed sensing. The numerical experiments of sparse vector recovery and low-rank matrix completion show validity of the theoretic results.
基金supported by the NSF of China(Grant Nos.12271050,11871109,11901037)by the CAEP Foundation(Grant No.CX20200027)by the Key Laboratory of Computational Physics Foundation(Grant No.6142A05210502).
文摘This paper considers a corrupted compressed sensing problem and is devoted to recover signals that are approximately sparse in some general dictionary but corrupted by a combination of interference having a sparse representation in a second general dictionary and measurement noise.We provide new restricted isometry property(RIP)analysis to achieve stable recovery of sparsely corrupted signals through Justice Pursuit De-Noising(JPDN)with an additional parameter.Our main tool is to adapt a crucial sparse decomposition technique to the analysis of the Justice Pursuit method.The proposed RIP condition improves the existing representative results.Numerical simulations are provided to verify the reliability of the JPDN model.
文摘基于反射系数奇偶分解的基追踪反演方法,补充了地震资料中所缺失的低频与高频信息,较好地提高了反演结果对地层的分辨能力。但仅仅使用稀疏约束加入的低频信息缺乏合理性,可能与工区的实际地质情况不符,需要进一步改善反演结果的横向连续性。因此,提出在基追踪反演目标函数中加入模型约束,得到模型约束的基追踪反演目标函数,并使用梯度投影稀疏重构(Gradient Projection for Sparse Reconstruction,GPSR)算法进行求解。模型约束的加入增强了反演的稳定性,使得反演结果中的低频信息更加符合工区实际地质背景信息,并且能够改善反演结果的横向连续性。楔形模型和实际数据测试结果表明,模型约束基追踪反演方法不仅保持了基追踪反演的稀疏性,地层阻抗呈现块化,反射界面刻画清晰,而且反演方法更为稳定,反演结果的横向连续性得到了改善,从而验证了该方法的可行性。
