METHODS AND SYSTEMS THAT DETERMINE A VELOCITY WAVEFIELD FROM A MEASURED PRESSURE WAVEFIELD
First Claim
1. A method that determines a velocity wavefield from a measured pressure wavefield indicative of properties of a subterranean formation, the method comprising:
- computing an approximate frozen free-surface profile of a free surface above a streamer based on pressure data generated by pressure sensors located at receiver locations along the streamer, the pressure data represents the measured pressure wavefield;
computing reflectivity and normal derivative of the reflectivity at the receiver locations;
computing a normal derivative of the measured pressure wavefield at the receiver locations based on the reflectivity and the normal derivative of the reflectivity at the receiver locations; and
computing an approximate normal-velocity wavefield at the receiver locations along the streamer based on the normal derivative of the measured pressure wavefield at the receiver locations, the approximate normal-velocity wavefield does not include low-frequency, streamer vibrational noise.
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Abstract
Methods and systems that compute an approximate vertical-velocity wavefield based on a measured pressure wavefield and knowledge of the free-surface shape when the pressure wavefield was measured are described. The measured pressure wavefield is used to compute an approximate frozen free-surface profile of the free surface. The approximate frozen free-surface profile and the measured pressure wavefield are then used to compute an approximate vertical-velocity wavefield that does not include low-frequency streamer vibrational noise. The approximate vertical-velocity wavefield and measured pressure wavefield may be used to separate the pressure wavefield into up-going and down-going pressure wavefields.
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Citations
29 Claims
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1. A method that determines a velocity wavefield from a measured pressure wavefield indicative of properties of a subterranean formation, the method comprising:
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computing an approximate frozen free-surface profile of a free surface above a streamer based on pressure data generated by pressure sensors located at receiver locations along the streamer, the pressure data represents the measured pressure wavefield; computing reflectivity and normal derivative of the reflectivity at the receiver locations; computing a normal derivative of the measured pressure wavefield at the receiver locations based on the reflectivity and the normal derivative of the reflectivity at the receiver locations; and computing an approximate normal-velocity wavefield at the receiver locations along the streamer based on the normal derivative of the measured pressure wavefield at the receiver locations, the approximate normal-velocity wavefield does not include low-frequency, streamer vibrational noise. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13)
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14. A computer system that computes a velocity wavefield from a measured pressure wavefield, the system comprising:
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one or more processors; one or more data-storage devices; and machine-readable instructions stored in one or more of data-storage devices and executed by the one or more processors, the machine-readable instructions directed to computing an approximate frozen free-surface profile of a free surface above a streamer based on pressure data generated by pressure sensors located at receiver locations along the streamer, the pressure data represents the measured pressure wavefield; computing reflectivity and normal derivative of the reflectivity at the receiver locations; computing a normal derivative of the measured pressure wavefield at the receiver locations based on the reflectivity and the normal derivative of the reflectivity at the receiver locations; and computing an approximate normal-velocity wavefield at the receiver locations along the streamer based on the normal derivative of the measured pressure wavefield at the receiver locations, the approximate normal-velocity wavefield does not include low-frequency, streamer vibrational noise. - View Dependent Claims (15, 16, 17, 18, 19, 20, 21, 28)
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22. A non-transitory computer-readable medium having machine-readable instructions encoded thereon for enabling one or more processors of a computer system to perform the operations of
computing an approximate frozen free-surface profile of a free surface above a streamer based on pressure data generated by pressure sensors located at receiver locations along the streamer, the pressure data represents the measured pressure wavefield; -
computing reflectivity and normal derivative of the reflectivity at the receiver locations; computing a normal derivative of the measured pressure wavefield at the receiver locations based on the reflectivity and the normal derivative of the reflectivity at the receiver locations; and computing an approximate normal-velocity wavefield at the receiver locations along the streamer based on the normal derivative of the measured pressure wavefield at the receiver locations, the approximate normal-velocity wavefield does not include low-frequency, streamer vibrational noise. - View Dependent Claims (23, 24, 25, 26, 27, 29)
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Specification