The quality factor Q is an important parameter because it can refl ect the reservoir attenuated features and can be used for inverse-Q filtering to compensate for the seismic wave energy.The accuracy of the Q estimati...The quality factor Q is an important parameter because it can refl ect the reservoir attenuated features and can be used for inverse-Q filtering to compensate for the seismic wave energy.The accuracy of the Q estimation is greatly significant for improving the precision of the reservoir prediction and the resolution of seismic data.In this paper,the Q estimation formulas of the single-frequency point are derived on the basis of a diff erent-order Taylor series expansion of the amplitude attenuated factor.Moreover,the multifrequency point average(MFPA)method is introduced to obtain a stable Q estimation.The model tests demonstrate that the MFPA method is less aff ected by the frequency band,travel time diff erence,time window width,and noise interference than the logical spectrum ratio(LSR)method and the energy ratio(ER)method and has a higher Q estimation accuracy.In addition,the proposed method can be applied to post-stack seismic data and obtain eff ective Q values of complex models.When the MFPA method was applied to real marine seismic data,the Q values estimated by the MFPA method with the 1st–4th order showed good consistency with each other.In contrast,the Q values obtained by the ER method were larger than those of the proposed method,while those estimated by the LSR method signifi cantly deviated from the average values.In conclusion,the MFPA method has superior stability and practicability for the Q estimation.展开更多
The quality factor(or Q value)is an important parameter for characterizing the inelastic properties of rock.Achieving a Q value estimation with high accuracy and stability is still challenging.In this study,a new meth...The quality factor(or Q value)is an important parameter for characterizing the inelastic properties of rock.Achieving a Q value estimation with high accuracy and stability is still challenging.In this study,a new method for estimating ultrasonic attenuation using a spectral ratio based on an S transform(SR-ST)is presented to improve the stability and accuracy of Q estimation.The variable window of ST is used to solve the time window problem.We add two window factors to the Gaussian window function in the ST.The window factors can adjust the scale of the Gaussian window function to the ultrasonic signal,which reduces the calculation error attributed to the conventional Gaussian window function.Meanwhile,the frequency bandwidth selection rules for the linear regression of the amplitude ratio are given to further improve stability and accuracy.First,the feasibility and influencing factors of the SR-ST method are studied through numerical testing and standard sample experiments.Second,artificial samples with different Q values are used to study the adaptability and stability of the SR-ST method.Finally,a further comparison between the new method and the conventional spectral ratio method(SR)is conducted using rock field samples,again addressing stability and accuracy.The experimental results show that this method will yield an error of approximately 36%using the conventional Gaussian window function.This problem can be solved by adding the time window factors to the Gaussian window function.The frequency bandwidth selection rules and mean slope value of the amplitude ratio used in the SR-ST method can ensure that the maximum error of different Q values estimation(Q>15)is less than 10%.展开更多
In this paper, by using holomorphic support f unction of strictly pseudoconvex domain on Stein manifolds and the kernel define d by DEMAILY J P and Laurent Thiebaut, we construct two integral operators T q and S q whi...In this paper, by using holomorphic support f unction of strictly pseudoconvex domain on Stein manifolds and the kernel define d by DEMAILY J P and Laurent Thiebaut, we construct two integral operators T q and S q which are both belong to C s+α p,q-1 (D) and ob tain integral representation of the solution of (p,q)-form b-equation on the boundary of pseudoconvex domain in Stein manifolds and the L s p,q extimates for the solution.展开更多
This paper studies the H^(p)-H^(q)estimates of a class of oscillatory integrals related to dispersive equations{i■_(t)u_(t,x)=Q(D)(t,x),(t,x)■R×R^(n),u(0,x)=u_(0)(x),x■R,,under the assumption that the level hy...This paper studies the H^(p)-H^(q)estimates of a class of oscillatory integrals related to dispersive equations{i■_(t)u_(t,x)=Q(D)(t,x),(t,x)■R×R^(n),u(0,x)=u_(0)(x),x■R,,under the assumption that the level hypersurfaces are convex and of finite type.As applications,we obtain the decay estimates for the solutions of higher order homogeneous and inhomogeneous Schrodinger equations.展开更多
In this paper, a semilinear elliptic-parabolic PDE system which arises in a two dimensional groundwater flow problem is studied. Existence and uniqueness results are established via the L￣p - L￣q a priori estimates ...In this paper, a semilinear elliptic-parabolic PDE system which arises in a two dimensional groundwater flow problem is studied. Existence and uniqueness results are established via the L￣p - L￣q a priori estimates and the inverse function theorem.展开更多
The large time behaviour for a more general prey-axis system is considered.The asymptotically uniform boundedness of solutions in a suitable space is derived to ensure the dissipativity of the system.Based on the diss...The large time behaviour for a more general prey-axis system is considered.The asymptotically uniform boundedness of solutions in a suitable space is derived to ensure the dissipativity of the system.Based on the dissipativity of the system,the existence of a global attractor is obtained.The main technique used in this paper is the L^(p)-L^(q) estimation method.展开更多
This paper investigates the decay properties of solutions to the Cauchy problem for viscoelastic nonlinear hyperbolic dissipative systems on R^(3).Due to the weak dissipation of the system,the decay estimate of soluti...This paper investigates the decay properties of solutions to the Cauchy problem for viscoelastic nonlinear hyperbolic dissipative systems on R^(3).Due to the weak dissipation of the system,the decay estimate of solutions exhibits a loss of regularity,implying that a higher regularity of initial data is required for optimal decay rates compared to the global existence.The aim is to reduce the initial regularity to the lowest possible level to achieve the optimal decay rate.Based on the global existence,we employ energy methods,L^(p)-L^(q)-L^(r) estimates,and harmonic analysis tools to obtain the optimal decay result of solutions.展开更多
基金supported by The National Natural Science Foundation (Grant Nos.41874126, 42004114)the Key Research and development project of Jiangxi Province in China (Grant No.20192ACB80006)+1 种基金the Natural Science Foundation of Jiangxi Province (Grant Nos. 20202BAB211010, 20212BAB203005)Open Foundation of State Key Laboratory of Nuclear Resources and Environment (2020NRE25)
文摘The quality factor Q is an important parameter because it can refl ect the reservoir attenuated features and can be used for inverse-Q filtering to compensate for the seismic wave energy.The accuracy of the Q estimation is greatly significant for improving the precision of the reservoir prediction and the resolution of seismic data.In this paper,the Q estimation formulas of the single-frequency point are derived on the basis of a diff erent-order Taylor series expansion of the amplitude attenuated factor.Moreover,the multifrequency point average(MFPA)method is introduced to obtain a stable Q estimation.The model tests demonstrate that the MFPA method is less aff ected by the frequency band,travel time diff erence,time window width,and noise interference than the logical spectrum ratio(LSR)method and the energy ratio(ER)method and has a higher Q estimation accuracy.In addition,the proposed method can be applied to post-stack seismic data and obtain eff ective Q values of complex models.When the MFPA method was applied to real marine seismic data,the Q values estimated by the MFPA method with the 1st–4th order showed good consistency with each other.In contrast,the Q values obtained by the ER method were larger than those of the proposed method,while those estimated by the LSR method signifi cantly deviated from the average values.In conclusion,the MFPA method has superior stability and practicability for the Q estimation.
基金supported by the Special Fund of the Institute of Geophysics,China Earthquake Administration(Nos.DQJB19B02 and DQJB17T04)
文摘The quality factor(or Q value)is an important parameter for characterizing the inelastic properties of rock.Achieving a Q value estimation with high accuracy and stability is still challenging.In this study,a new method for estimating ultrasonic attenuation using a spectral ratio based on an S transform(SR-ST)is presented to improve the stability and accuracy of Q estimation.The variable window of ST is used to solve the time window problem.We add two window factors to the Gaussian window function in the ST.The window factors can adjust the scale of the Gaussian window function to the ultrasonic signal,which reduces the calculation error attributed to the conventional Gaussian window function.Meanwhile,the frequency bandwidth selection rules for the linear regression of the amplitude ratio are given to further improve stability and accuracy.First,the feasibility and influencing factors of the SR-ST method are studied through numerical testing and standard sample experiments.Second,artificial samples with different Q values are used to study the adaptability and stability of the SR-ST method.Finally,a further comparison between the new method and the conventional spectral ratio method(SR)is conducted using rock field samples,again addressing stability and accuracy.The experimental results show that this method will yield an error of approximately 36%using the conventional Gaussian window function.This problem can be solved by adding the time window factors to the Gaussian window function.The frequency bandwidth selection rules and mean slope value of the amplitude ratio used in the SR-ST method can ensure that the maximum error of different Q values estimation(Q>15)is less than 10%.
文摘In this paper, by using holomorphic support f unction of strictly pseudoconvex domain on Stein manifolds and the kernel define d by DEMAILY J P and Laurent Thiebaut, we construct two integral operators T q and S q which are both belong to C s+α p,q-1 (D) and ob tain integral representation of the solution of (p,q)-form b-equation on the boundary of pseudoconvex domain in Stein manifolds and the L s p,q extimates for the solution.
基金supported by NSFC(No.12471092)the Natural Science Foundation of Hubei Province(No.2023AFB1056)。
文摘This paper studies the H^(p)-H^(q)estimates of a class of oscillatory integrals related to dispersive equations{i■_(t)u_(t,x)=Q(D)(t,x),(t,x)■R×R^(n),u(0,x)=u_(0)(x),x■R,,under the assumption that the level hypersurfaces are convex and of finite type.As applications,we obtain the decay estimates for the solutions of higher order homogeneous and inhomogeneous Schrodinger equations.
文摘In this paper, a semilinear elliptic-parabolic PDE system which arises in a two dimensional groundwater flow problem is studied. Existence and uniqueness results are established via the L￣p - L￣q a priori estimates and the inverse function theorem.
基金supported by Jjilin province department of education science and technology research project(Grants JKH20220041KJ).
文摘The large time behaviour for a more general prey-axis system is considered.The asymptotically uniform boundedness of solutions in a suitable space is derived to ensure the dissipativity of the system.Based on the dissipativity of the system,the existence of a global attractor is obtained.The main technique used in this paper is the L^(p)-L^(q) estimation method.
文摘This paper investigates the decay properties of solutions to the Cauchy problem for viscoelastic nonlinear hyperbolic dissipative systems on R^(3).Due to the weak dissipation of the system,the decay estimate of solutions exhibits a loss of regularity,implying that a higher regularity of initial data is required for optimal decay rates compared to the global existence.The aim is to reduce the initial regularity to the lowest possible level to achieve the optimal decay rate.Based on the global existence,we employ energy methods,L^(p)-L^(q)-L^(r) estimates,and harmonic analysis tools to obtain the optimal decay result of solutions.
