摘要 :
The problem of definition of a field of pressure in a layer and water-saturations with known permeability or pressure, or volumetric charges of a liquid on chinks is the direct problem. However, the coefficients included in system...
展开
The problem of definition of a field of pressure in a layer and water-saturations with known permeability or pressure, or volumetric charges of a liquid on chinks is the direct problem. However, the coefficients included in system of the equations, describing process of the filtration of a viscous incompressible liquid in the porous environment, can be set approximately. In this case, the permeability and pressure are given in some chinks and some moments of time. It is necessary to solve inverse problem in view of heterogeneity of a layer on permeability, and take into account the additional information on pressure and permeability in some chinks during some moments of time. It is required to restore permeability. Methods of interpolation cannot solve the given problem as the information is not full and the equations describing the mathematical model are not taken into account. In the given work is represented the one computing algorithm for the solving of coefficient inverse problems that was applied the permeability restoration for two-phase filtration model of a viscous incompressible liquid. This method allows parallel computing.
收起
摘要 :
The problem of definition of a field of pressure in a layer and water-saturations with known permeability or pressure, or volumetric charges of a liquid on chinks is the direct problem. However, the coefficients included in system...
展开
The problem of definition of a field of pressure in a layer and water-saturations with known permeability or pressure, or volumetric charges of a liquid on chinks is the direct problem. However, the coefficients included in system of the equations, describing process of the filtration of a viscous incompressible liquid in the porous environment, can be set approximately. In this case, the permeability and pressure are given in some chinks and some moments of time. It is necessary to solve inverse problem in view of heterogeneity of a layer on permeability, and take into account the additional information on pressure and permeability in some chinks during some moments of time. It is required to restore permeability. Methods of interpolation cannot solve the given problem as the information is not full and the equations describing the mathematical model are not taken into account. In the given work is represented the one computing algorithm for the solving of coefficient inverse problems that was applied the permeability restoration for two-phase filtration model of a viscous incompressible liquid. This method allows parallel computing.
收起
摘要 :
The problem of definition of a field of pressure in a layer and water-saturations with known permeability or pressure, or volumetric charges of a liquid on chinks is the direct problem. However, the coefficients included in system...
展开
The problem of definition of a field of pressure in a layer and water-saturations with known permeability or pressure, or volumetric charges of a liquid on chinks is the direct problem. However, the coefficients included in system of the equations, describing process of the filtration of a viscous incompressible liquid in the porous environment, can be set approximately. In this case, the permeability and pressure are given in some chinks and some moments of time. It is necessary to solve inverse problem in view of heterogeneity of a layer on permeability, and take into account the additional information on pressure and permeability in some chinks during some moments of time. It is required to restore permeability. Methods of interpolation cannot solve the given problem as the information is not full and the equations describing the mathematical model are not taken into account. In the given work is represented the one computing algorithm for the solving of coefficient inverse problems that was applied the permeability restoration for two-phase filtration model of a viscous incompressible liquid. This method allows parallel computing.
收起
摘要 :
This paper offers a new multiple signal restoration tool to solve the inverse problem, when signals are convoluted with a multiple impulse response and then degraded by an additive noise signal with multiple components. Inverse pr...
展开
This paper offers a new multiple signal restoration tool to solve the inverse problem, when signals are convoluted with a multiple impulse response and then degraded by an additive noise signal with multiple components. Inverse problems arise practically in all areas of science and engineering and refers to as methods of estimating data/parameters, in our case of multiple signals that cannot directly be observed. The presented tool is based on the mapping multiple signals into the quaternion domain, and then solving the inverse problem. Due to the non-commutativity of quaternion arithmetic, it is difficult to find the optimal filter in the frequency domain for degraded quaternion signals. As an alternative, we introduce an optimal filter by using special 4x4 matrices on the discrete Fourier transforms of signal components, at each frequency-point. The optimality of the solution is with respect to the mean-square-root error, as in the classical theory of the signal restoration by the Wiener filter. The Illustrative example of optimal filtration of multiple degraded signals in the quaternion domain is given. The computer simulations validate the effectiveness of the proposed method.
收起
摘要 :
This paper offers a new multiple signal restoration tool to solve the inverse problem, when signals are convoluted with a multiple impulse response and then degraded by an additive noise signal with multiple components. Inverse pr...
展开
This paper offers a new multiple signal restoration tool to solve the inverse problem, when signals are convoluted with a multiple impulse response and then degraded by an additive noise signal with multiple components. Inverse problems arise practically in all areas of science and engineering and refers to as methods of estimating data/parameters, in our case of multiple signals that cannot directly be observed. The presented tool is based on the mapping multiple signals into the quaternion domain, and then solving the inverse problem. Due to the non-commutativity of quaternion arithmetic, it is difficult to find the optimal filter in the frequency domain for degraded quaternion signals. As an alternative, we introduce an optimal filter by using special 4x4 matrices on the discrete Fourier transforms of signal components, at each frequency-point. The optimality of the solution is with respect to the mean-square-root error, as in the classical theory of the signal restoration by the Wiener filter. The Illustrative example of optimal filtration of multiple degraded signals in the quaternion domain is given. The computer simulations validate the effectiveness of the proposed method.
收起
摘要 :
The problem of parameters definition of the stabilized functional in a regularization method for obtaining of the solution which is maximal stability relative change of the unaccounted factors is considered. Such approach was demo...
展开
The problem of parameters definition of the stabilized functional in a regularization method for obtaining of the solution which is maximal stability relative change of the unaccounted factors is considered. Such approach was demonstrated on the solutions of some practical inverse problems: identification of the moment of technological resistance on the rolling mill, inverse Krylov problem and identification of a rotor unbalance.
收起
摘要 :
In this paper numerical solved coefficient inverse problem at the relaxation liquid in porous media. The problem consists in identification coefficient of piezo conductivity of the bed, coefficient the relaxation time of the gradi...
展开
In this paper numerical solved coefficient inverse problem at the relaxation liquid in porous media. The problem consists in identification coefficient of piezo conductivity of the bed, coefficient the relaxation time of the gradient pressure and coefficient the relaxation time of the filtration velocity by the additional information about solution of the direct problem. Various identification methods are applied to the solve problem.
收起
摘要 :
In the paper the statement of inverse problem of dynamic measurements of physical quantities is given and the technique of robust correcting filters synthesis for reproduction of fixed component of the useful measuring signal resh...
展开
In the paper the statement of inverse problem of dynamic measurements of physical quantities is given and the technique of robust correcting filters synthesis for reproduction of fixed component of the useful measuring signal reshaped on an output of a dynamic system «object plus sensor» and followed with white and colour noise is designed.
收起
摘要 :
In the paper the statement of inverse problem of dynamic measurements of physical quantities is given and the technique of robust correcting filters synthesis for reproduction of fixed component of the useful measuring signal resh...
展开
In the paper the statement of inverse problem of dynamic measurements of physical quantities is given and the technique of robust correcting filters synthesis for reproduction of fixed component of the useful measuring signal reshaped on an output of a dynamic system <
摘要 :
The inverse problems of recovering the right-hand side and coefficients in a pseudoparabolic equations of filtration with the use of the pointwise overdetermination are studied. We expose some existence and uniqueness theorems whi...
展开
The inverse problems of recovering the right-hand side and coefficients in a pseudoparabolic equations of filtration with the use of the pointwise overdetermination are studied. We expose some existence and uniqueness theorems which are the base of a numerical algorithm of recovering the right-hand side (the source function), left-hand side (coefficient problem) and a solution. The problem is well-posed and the stability estimates hold. It can be reduced to a Volterra-type integral equation, where the operator has a small norm for small time segments. The finite element method is used to reduce the problem to a system of ordinary differential equations which is solved by the finite difference method. The idea of the predictor-corrector method is employed in the algorithm. The results of numerical experiments are presented. They show a good convergence of an approximate solutions to a solution. Also this article can develop models and algorithms for modeling situations in a decision support system. For problems arising in determining the parameters of the reservoir where oil is produced or determining the flow rates of wells.
收起
原文获取