Method to Improve Spatial Sampling of Vertical Motion of Seismic Wavefields on the Free Surface of the Earth by Utilizing Horizontal Rotational Motion and Vertical Motion Sensors

摘要

The present method provides spatial sampling of a seismic wavefield on the free surface of the earth at an effective spatial sampling denser than the physical layout of the sensors. The sensors are comprised of a sensing element for vertical particle motion at the earth's surface, and a sensing element for rotational motion around a horizontal axis at the surface of the earth. Stress and wavefield conditions known at the free surface of the earth allow the rotational sensing element to yield the transverse horizontal gradient of the vertical particle motion wavefield. This horizontal gradient and the vertical particle motion data are utilized in the technique of ordinate and slope sampling to yield an improved transverse spatial sampling of the vertical particle motion wavefield. The method has a wide range of application in seismic surveys in oil and gas exploration and production.