# US 10,310,133 B2 · Calibration of geophone and hydrophone pairs

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- Number: US 10,310,133 B2
- Document ID: US10310133B2
- Status: Granted
- Kind: B2
- Application number: 15/285,208
- Filed: 2016-10-04
- Published: 2018-04-05
- Granted: 2019-06-04
- Earliest claimed: 2016-10-04
- Assignees: Fairfield Geotechnologies
- Applicants: Fairfield Industries Incorporated
- Inventors: Kenneth Lawrence Craft; Carsten Udengaard
- Web page: https://patentgrep.com/patent/US10310133B2

## CPC

- G01V 13/00: Manufacturing, calibrating, cleaning, or repairing instruments or devices covered by groups G01V1/00 – G01V11/00
- G01V 1/181: {Geophones}
- G01V 1/186: {Hydrophones}
- G01V 1/364: {Seismic filtering (G01V1/37 takes precedence)}
- G01V 1/3808: {Seismic data acquisition, e.g. survey design}
- G01V 1/3852: {to the seabed}
- G01V 2210/1427: Sea bed
- G01V: GEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS (means for indicating the location of accidentally buried, e.g. snow-buried, persons A63B29/02)

## Abstract

A system to improve calibration of geophone and hydrophone pairs is described. The system generates first and second phase shifted data by applying a first and second phase shift to first seismic data acquired by the geophone. The system generates a first upgoing wavefield by summing the first phase shifted data and second seismic data acquired by the hydrophone, and a second upgoing wavefield by summing the second phase shifted data and the second seismic data. The system generates a first downgoing wavefield from a difference of the first phase shifted data and the second seismic data, and a second downgoing wavefield from a difference of the second phase shifted data and the second seismic data. The system determines ratios of the upgoing wavefields and the downgoing wavefields for each phase shift to identify the highest ratio, and selects the phase shift corresponding to the highest ratio for calibration.

## Claims

### Claim 1

A seismic data acquisition system to perform a seismic survey in a marine environment, comprising:
a seismic data acquisition unit to dispose on a seabed of the marine environment, the seismic data acquisition unit comprising:
a geophone to acquire geophone trace data responsive to an acoustic signal propagated from an acoustic source;
a hydrophone to acquire hydrophone trace data responsive to the acoustic signal propagated from the acoustic source; and
a data processing system having a calibration component that:
selects, from the geophone trace data, first seismic data within a first frequency band;
selects, from the hydrophone trace data, second seismic data within the first frequency band;
generates first phase shifted seismic data via application of a first phase shift to the first seismic data, and generates second phase shifted seismic data via application of a second phase shift to the first seismic data, the second phase shift different from the first phase shift;
generates a first upgoing wavefield based on a sum of the first phase shifted seismic data and the second seismic data, and generates a second upgoing wavefield based on a sum of the second phase shifted seismic data and the second seismic data;
generates a first downgoing wavefield based on a difference of the first phase shifted seismic data and the second seismic data, and generates a second downgoing wavefield based on a difference of the second phase shifted seismic data and the second seismic data;
determines a first ratio of the first upgoing wavefield and the first downgoing wavefield, and determines a second ratio of the second upgoing wavefield and the second downgoing wavefield; and
selects the first phase shift based on the first ratio being greater than the second ratio to produce a calibrated image that compensates for a coupling of the geophone to the seabed.

### Claim 2 (depends on 1)

The system of claim 1, comprising:
the geophone configured to detect motion; and
the hydrophone configured to measure a pressure change, the hydrophone being a different type of device than the geophone.

### Claim 3 (depends on 1)

The system of claim 1, wherein the geophone detects a vertical component of motion.

### Claim 4 (depends on 1)

The system of claim 1, wherein the first seismic data comprises a first trace and the second seismic data comprises a second trace paired with the first trace, the first trace and the second trace having an offset within a threshold.

### Claim 5 (depends on 1)

The system of claim 1, comprising the data processing system configured to:
determine an amplitude of the first upgoing wavefield;
determine an amplitude of the first downgoing wavefield;
determine the first ratio as the amplitude of the first downgoing wavefield divided by the amplitude of the first upgoing wavefield;
determine an amplitude of the second upgoing wavefield;
determine an amplitude of the second downgoing wavefield; and
determine the second ratio as the amplitude of the second downgoing wavefield divided by the amplitude of the second upgoing wavefield.

### Claim 6 (depends on 1)

The system of claim 1, comprising the data processing system configured to:
partition the first seismic data into a plurality of frequency bands; and
determine the first ratio and the second ratio for a frequency band of the plurality of frequency bands.

### Claim 7 (depends on 1)

The system of claim 1, comprising the data processing system configured to:
partition the first seismic data into a plurality of frequency bands;
partition the second seismic data into the plurality of frequency bands;
determine an average amplitude for the first upgoing wavefield for each of the plurality of frequency bands;
determine an average amplitude for the first downgoing wavefield for each of the plurality of frequency bands;
determine a third ratio for each of the plurality of frequency bands based on the average amplitude for the first downgoing wavefield for each of the plurality of frequency bands divided by the average amplitude for the first upgoing wavefield for each of the plurality of frequency bands;
determine an average amplitude for the second upgoing wavefield for each of the plurality of frequency bands;
determine an average amplitude for the second downgoing wavefield for each of the plurality of frequency bands;
determine a fourth ratio for each of the plurality of frequency bands based on the average amplitude for the second downgoing wavefield for each of the plurality of frequency bands divided by the average amplitude for the second upgoing wavefield for each of the plurality of frequency bands;
select, to produce the calibrated image, the first phase shift for a first frequency band of the plurality of frequency bands based on the third ratio for the first frequency band being greater than the fourth ratio for the first frequency band; and
select, to produce the calibrated image, the second phase shift for a second frequency band of the plurality of frequency bands based on the fourth ratio for the second frequency band being greater than the third ratio for the second frequency band.

### Claim 8 (depends on 1)

The system of claim 1, comprising the data processing system configured to:
partition the first seismic data into a plurality of frequency bands;
partition the second seismic data into the plurality of frequency bands;
generate a phase operator based on a phase shift corresponding to a highest ratio for each of the plurality of frequency bands; and
use the phase operator to produce the calibrated image.

### Claim 9 (depends on 8)

The system of claim 8, wherein the plurality of frequency bands comprises at least three different frequency bands.

### Claim 10 (depends on 1)

The system of claim 1, comprising the data processing system configured to:
calibrate the geophone based on the first phase shift selected based on the first ratio being greater than the second ratio.

### Claim 11 (depends on 1)

The system of claim 1, comprising the data processing system configured to:
combine the first phase shift with a predetermined system response operator to produce the calibrated image.

### Claim 12 (depends on 1)

The system of claim 1, comprising the data processing system configured to:
calibrate the geophone and the hydrophone by applying the first phase shift to the first seismic data.

### Claim 13

A method of performing a seismic survey in a marine environment using a seismic data acquisition system, comprising:
providing a seismic data acquisition system disposed on a seabed of the marine environment;
acquiring, by a geophone of the seismic data acquisition system, geophone trace data responsive to an acoustic signal propagated from an acoustic source;
acquiring, by a hydrophone of the seismic data acquisition system, hydrophone trace data responsive to the acoustic signal propagated from the acoustic source;
selecting, by a calibration component executed by one or more processors of a data processing system, from the geophone trace data, first seismic data within a first frequency band;
selecting, by the calibration component, from the hydrophone trace data, second seismic data within the first frequency band;
generating, by the calibration component, first phase shifted seismic data by applying a first phase shift to the first seismic data,
generating, by the calibration component, second phase shifted seismic data by applying a second phase shift to the first seismic data, the second phase shift different from the first phase shift;
generating, by the calibration component, a first upgoing wavefield based on a sum of the first phase shifted seismic data and the second seismic data;
generating, by the calibration component, a second upgoing wavefield based on a sum of the second phase shifted seismic data and the second seismic data;
generating, by the calibration component, a first downgoing wavefield based on a difference of the first phase shifted seismic data and the second seismic data;
generating, by the calibration component, a second downgoing wavefield based on a difference of the second phase shifted seismic data and the second seismic data;
determining, by the calibration component, a first ratio of the first upgoing wavefield and the first downgoing wavefield;
determining, by the calibration component, a second ratio of the second upgoing wavefield and the second downgoing wavefield; and
selecting, by the calibration component, the first phase shift based on the first ratio being greater than the second ratio to produce a calibrated image that compensates for a coupling of the geophone to earth.

### Claim 14 (depends on 13)

The method of claim 13, comprising:
detecting, by the geophone, motion; and
measuring, by the hydrophone, a pressure change, the hydrophone being a different type of device than the geophone.

### Claim 15 (depends on 13)

The method of claim 13, comprising:
detecting, by the geophone, a vertical component of motion.

### Claim 16 (depends on 13)

The method of claim 13, comprising:
obtaining, by the calibration component, the first seismic data comprising a first trace and the second seismic data comprises a second trace paired with the first trace, the first trace and the second trace having an offset within a threshold.

### Claim 17 (depends on 13)

The method of claim 13, comprising:
determining, by the calibration component, an amplitude of the first upgoing wavefield;
determining, by the calibration component, an amplitude of the first downgoing wavefield;
determining, by the calibration component, the first ratio as the amplitude of the first downgoing wavefield divided by the amplitude of the first upgoing wavefield;
determining, by the calibration component, an amplitude of the second upgoing wavefield;
determining, by the calibration component, an amplitude of the second downgoing wavefield; and
determining, by the calibration component, the second ratio as the amplitude of the second downgoing wavefield divided by the amplitude of the second upgoing wavefield.

### Claim 18 (depends on 13)

The method of claim 13, comprising:
partitioning, by the calibration component, the first seismic data into a plurality of frequency bands; and
determining, by the calibration component, the first ratio and the second ratio for a frequency band of the plurality of frequency bands.

### Claim 19 (depends on 13)

The method of claim 13, comprising:
partitioning, by the calibration component, the first seismic data into a plurality of frequency bands;
partitioning, by the calibration component, the second seismic data into the plurality of frequency bands;
determining, by the calibration component, an average amplitude for the first upgoing wavefield for each of the plurality of frequency bands;
determining, by the calibration component, an average amplitude for the first downgoing wavefield for each of the plurality of frequency bands;
determining, by the calibration component, a third ratio for each of the plurality of frequency bands based on the average amplitude for the first downgoing wavefield for each of the plurality of frequency bands divided by the average amplitude for the first upgoing wavefield for each of the plurality of frequency bands;
determining, by the calibration component, an average amplitude for the second upgoing wavefield for each of the plurality of frequency bands;
determining, by the calibration component, an average amplitude for the second downgoing wavefield for each of the plurality of frequency bands;
determining, by the calibration component, a fourth ratio for each of the plurality of frequency bands based on the average amplitude for the second downgoing wavefield for each of the plurality of frequency bands divided by the average amplitude for the second upgoing wavefield for each of the plurality of frequency bands;
selecting, by the calibration component to produce the calibrated image, the first phase shift for a first frequency band of the plurality of frequency bands based on the third ratio for the first frequency band being greater than the fourth ratio for the first frequency band; and
select, to produce the calibrated image, the second phase shift for a second frequency band of the plurality of frequency bands based on the fourth ratio for the second frequency band being greater than the third ratio for the second frequency band.

### Claim 20 (depends on 13)

The method of claim 13, comprising:
partitioning, by the calibration component, the first seismic data into a plurality of frequency bands;
partitioning, by the calibration component, the second seismic data into the plurality of frequency bands;
generating, by the calibration component, a phase operator based on a phase shift corresponding to a highest ratio for each of the plurality of frequency bands; and
using, by the calibration component, the phase operator to produce the calibrated image.
