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High resolution 3D nonlinear integrated inversion
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作者 Li Yong Wang Xuben +2 位作者 Li Zhirong Li Qiong Li Zhengwen 《Applied Geophysics》 SCIE CSCD 2009年第2期159-165,共7页
The high resolution 3D nonlinear integrated inversion method is based on nonlinear theory. Under layer control, the log data from several wells (or all wells) in the study area and seismic trace data adjacent to the... The high resolution 3D nonlinear integrated inversion method is based on nonlinear theory. Under layer control, the log data from several wells (or all wells) in the study area and seismic trace data adjacent to the wells are input to a network with multiple inputs and outputs and are integratedly trained to obtain an adaptive weight function of the entire study area. Integrated nonlinear mapping relationships are built and updated by the lateral and vertical geologic variations of the reservoirs. Therefore, the inversion process and its inversion results can be constrained and controlled and a stable seismic inversion section with high resolution with velocity inversion, impedance inversion, and density inversion sections, can be gained. Good geologic effects have been obtained in model computation tests and real data processing, which verified that this method has high precision, good practicality, and can be used for quantitative reservoir analysis. 展开更多
关键词 high resolution integrated inversion network with multiple input and output hybrid intelligent learning algorithm
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POLYNOMIAL INVERSE INTEGRATING FACTORS 被引量:8
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作者 J.Chavarriga, H.Giacomini & J.Gine (Departament de Matematica, Universitat de Lleida. Av. Jaume Ⅱ, 69, 25001 Lleida,Spain Laboratoire de Mathematiques et Physique Theorique C.N.R.S. UPRES A6083. Faculte des Sciences et Techniques. Universite de Tours. P 《Annals of Differential Equations》 2000年第4期320-329,共10页
Let (P, Q) be a C1 vector field defined in an open subset U IR2. We call inverse integrating factor a C1 solution V(x, y) of the equation . In previous works it has been shown that this function plays an important ro... Let (P, Q) be a C1 vector field defined in an open subset U IR2. We call inverse integrating factor a C1 solution V(x, y) of the equation . In previous works it has been shown that this function plays an important role in the problem of the center and in the determination of limit cycles. In this paper we obtain necessary conditions for a polynomial vector field (P, Q) to have a polynomial inverse integrating factor. 展开更多
关键词 POLYNOMIAL inverse integrating factor
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Weierstrass Integrability of Complex Differential Equations
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作者 Jaume LLIBRE Claudia VALLS 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2021年第10期1497-1506,共10页
We characterize the complex differential equations of the form dy/dx=a_(n)(x)y^)n_+a_(n-1)(x)y^(n-1)+…+a_(1)(x)y+a_(0)(x) where a_(j)(x) are meromorphic functions in the variable x for j = 0,..., n that admit either ... We characterize the complex differential equations of the form dy/dx=a_(n)(x)y^)n_+a_(n-1)(x)y^(n-1)+…+a_(1)(x)y+a_(0)(x) where a_(j)(x) are meromorphic functions in the variable x for j = 0,..., n that admit either a Weierstrass first integral or a Weierstrass inverse integrating factor. 展开更多
关键词 Weierstrass first integrals Weierstrass inverse integrating factor complex differential equations
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