The vibration of the towed seismic cable (streamer) is the main reason for the efficiency reduction of the seismic survey. In this paper, a vibration suppression scheme of the streamer in the seismic survey is investigated. The system model includes a hyperbolic partial differential equation with variable coefficient describing the seismic cable, and an ordinary differential equation describing the dynamic of the birds. Exact model knowledge and adaptive controllers, based on the Lyapunov method, are designed to suppress the vibration of streamer caused by the course deviations of the towing vessel and variations of streamer density. Under reasonable assumptions, the exact model knowledge and adaptive controllers exponentially and asymptotically drive the controlled span seismic cables displacement to zero, respectively. The proposed control laws not only suit for the depth control, but also the horizontal control.

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