Noise estimation in a vector sensing streamer

A program storage medium encoded with instructions that, when executed by a computing apparatus, perform a method comprising:

• recording a first set of data using a first type of sensor;
• recording a second set of data using a second type of sensor, the first and second sets of data being contemporaneously acquired by co-located sensors;
• estimating an inline noise component in the first set of data from the second set of data using nx(t,xr)=dx(t,xr)−1/ρ∂xP(t,xr), where dx(t,xr) represents recording of a particle sensor in the inline direction, ax(t,xr)=1/ρ∂xP(t,xr), P(t,xr)represents the inline gradient of acoustic sensor recordings and ax(t,xr) represents the inline component of particle acceleration and ρ represents the density of the medium in which the particle sensor is located;
• and
• correcting the first set of data using the estimated inline noise component.

A computing apparatus, comprising:

• a processor;
• a bus system;
• a storage communicating with the processor over the bus system;
• and
• a software application residing on the storage that, when invoked by the processor, performs a method including:
• recording a first set of data using a first type of sensor;
• recording a second set of data using a second type of sensor, the first and second sets of data being contemporaneously acquired by co-located sensors;
• estimating an inline noise component in the first set of data from the second set of data using nx(t,xr)=dx (t,xr)−1/ρ∂xP(t,xr), where dx(t,xr) represents recording of a particle sensor in the inline direction, ax(t,xr)=1/ρ∂xP(t,xr), P(t,xr) represents the inline gradient of acoustic senor recordings and ax(t,xr) represents the inline component of particle acceleration and ρ represents the density of the medium in which the particle sensor is located;
• and
• correcting the first set of data using the estimated inline noise component.

An acquisition system, comprising:

• a survey vessel;
• an array of streamers towed by the survey vessel;
• a plurality of paired, co-located sensors distributed densely along each the streamers, a first one of each sensor pair being a first sensor of a first type and a second one of each sensor pair being a second sensor of a second type, each one of the paired sensors being co-located;
• and
• a computing apparatus, programmed to:
• recording a first set of data using the first type of sensor;
• recording a second set of data using the second type of sensor;
• estimating an inline noise component in the first set of data from the second set of data using nx(t,xr)=dx (t,xr)−1/ρ∂xP(t,xr), where dx(t,xr) represents recording of a particle sensor in the inline direction, ax(t,xr)=1/ρ∂xP(t,xr) P(t,xr) represents the inline gradient of acoustic senor recordings and ax(t,xr) represents the inline component of particle acceleration and ρ represents the density of the medium in which the particle sensor is located;
• and
• correcting the first set of data using the estimated inline noise component.