In this paper, the existence of chaotic behavior in the single-well Duffing Oscillator was examined under parametric excitations using Melnikov method and Lyapunov exponents. The minimum and maximum values were obtain...In this paper, the existence of chaotic behavior in the single-well Duffing Oscillator was examined under parametric excitations using Melnikov method and Lyapunov exponents. The minimum and maximum values were obtained and the dynamical behaviors showed the intersections of manifold which was illustrated using the MATCAD software. This extends some results in the literature. Simulation results indicate that the single-well oscillator is sensitive to sinusoidal signals in high frequency cases and with high damping factor, the amplitude of the oscillator was reduced.展开更多
In areas with a low signal-to-noise ratio of seismic data,the continuity of the seismic reflection waves in the exploration target layer is very poor,which will reduce the imaging accuracy and make it impossible to so...In areas with a low signal-to-noise ratio of seismic data,the continuity of the seismic reflection waves in the exploration target layer is very poor,which will reduce the imaging accuracy and make it impossible to solve certain geological tasks.This article suggests an approach to address the issue of seismic acquisition by optimizing excitation parameters.It involves conducting a detailed investigation of the surface structure,enhancing the observation system,increasing the coverage appropriately,and transitioning from combined-well excitation to single-well excitation.Additionally,the use of technical tools like qualitative evaluation of the observation system and forward modeling are employed to determine the final optimized seismic acquisition plan.The effectiveness of this approach is evident from the seismic profile obtained in an exploration area in Inner Mongolia.展开更多
文摘In this paper, the existence of chaotic behavior in the single-well Duffing Oscillator was examined under parametric excitations using Melnikov method and Lyapunov exponents. The minimum and maximum values were obtained and the dynamical behaviors showed the intersections of manifold which was illustrated using the MATCAD software. This extends some results in the literature. Simulation results indicate that the single-well oscillator is sensitive to sinusoidal signals in high frequency cases and with high damping factor, the amplitude of the oscillator was reduced.
文摘In areas with a low signal-to-noise ratio of seismic data,the continuity of the seismic reflection waves in the exploration target layer is very poor,which will reduce the imaging accuracy and make it impossible to solve certain geological tasks.This article suggests an approach to address the issue of seismic acquisition by optimizing excitation parameters.It involves conducting a detailed investigation of the surface structure,enhancing the observation system,increasing the coverage appropriately,and transitioning from combined-well excitation to single-well excitation.Additionally,the use of technical tools like qualitative evaluation of the observation system and forward modeling are employed to determine the final optimized seismic acquisition plan.The effectiveness of this approach is evident from the seismic profile obtained in an exploration area in Inner Mongolia.