# US 9,753,167 B2 · Calibrating rotation data and translational data

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- Number: US 9,753,167 B2
- Document ID: US9753167B2
- Status: Granted
- Kind: B2
- Application number: 13/556,034
- Filed: 2012-07-23
- Published: 2014-01-23
- Granted: 2017-09-05
- Earliest claimed: 2012-07-23
- Assignees: WesternGeco L.L.C.
- Applicants: Pascal Edme; Everhard Johan Muyzert
- Inventors: Pascal Edme; Everhard Johan Muyzert
- Web page: https://patentgrep.com/patent/US9753167B2

## CPC

- G01V 1/36: Effecting static or dynamic corrections on records, e.g. correcting spread; Correlating seismic signals; Eliminating effects of unwanted energy
- G01V 13/00: Manufacturing, calibrating, cleaning, or repairing instruments or devices covered by groups G01V1/00 – G01V11/00
- 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

Rotation data and translational data are received. A calibration operator is determined based on the rotation data and translational data, where the calibration operator is useable to relatively calibrate the rotation data and the translation of data.

## Claims

### Claim 1

A method comprising:
placing a plurality of seismic sensors proximate to the earth surface, each of the seismic sensors having a first translational motion sensor, a first rotation sensor and a second rotation sensor;
receiving ground-roll rotation data based on measurement by the rotation sensors;
receiving translational data from the translational seismic sensors; and
determining a calibration operator based on the ground-roll rotation data and translational data, wherein the calibration operator is useable to relatively calibrate the ground-roll rotation data and the translational data.

### Claim 2 (depends on 1)

The method of claim 1, wherein determining the calibration operator is based on a ratio between a spatial derivative of the translational data and a time derivative of the ground-roll rotation data.

### Claim 3 (depends on 1)

The method of claim 1, further comprising:
determining a slowness of a wavefield that is being surveyed using the seismic sensor,
wherein determining the calibration operator is further based on the slowness.

### Claim 4 (depends on 3)

The method of claim 3, wherein determining the calibration operator is based on a ratio between the ground-roll rotation data and a product of the slowness and the translational data.

### Claim 5 (depends on 4)

The method of claim 4, further comprising determining the slowness for a given location of a sensor assembly.

### Claim 6 (depends on 4)

The method of claim 4, further comprising determining the product of the slowness and the translational data based on applying a tau-p transform of the translational data.

### Claim 7 (depends on 1)

The method of claim 1, wherein the ground-roll rotation data is received from the rotational sensors.

### Claim 8 (depends on 7)

The method of claim 7, wherein the calibration operator is dependent on a characteristic of a sensor assembly including the rotational sensors and the seismic sensor.

### Claim 9 (depends on 8)

The method of claim 8, wherein the calibration operator is further dependent on a coupling of the sensor assembly with a ground surface.

### Claim 10 (depends on 1)

The method of claim 1, wherein determining the calibration operator is based on the translational data acquired by the seismic sensor in response to a single shot.

### Claim 11 (depends on 1)

The method of claim 1, wherein determining the calibration operator comprises determining a transfer function between the at least one sensor and the seismic sensor.

### Claim 12 (depends on 1)

The method of claim 1, wherein the calibration operator is a scalar coefficient or a frequency dependent operator and is determined for at least one frequency.

### Claim 13

A system comprising:
at least one storage medium to store ground-roll rotation data and translational data acquired based on measurement from a plurality of seismic sensors, each seismic sensor having a translational movement sensor, a first rotation sensors and a second rotation sensor; and
at least one processor to:
determine a calibration operator based on the ground-roll rotation data and translational data, wherein the calibration operator is useable to relatively calibrate the ground-roll rotation data and the translational data.

### Claim 14 (depends on 13)

The system of claim 13, wherein determination of the calibration operator is based on use of the translational data acquired in response to a single shot.

### Claim 15 (depends on 13)

The system of claim 13, wherein determination of the calibration operator is based on use of the translational data acquired in response to plural shots.

### Claim 16 (depends on 13)

The system of claim 13, wherein the calibration operator is for a first axis, and wherein the at least one processor is to use the calibration operator for the first axis as a calibration operator for a second, different axis.

### Claim 17 (depends on 13)

The system of claim 13, wherein determination of the calibration operator is based on a ratio of a time derivative of the rotation data and a spatial derivative of the translational data.

### Claim 18 (depends on 13)

The system of claim 13, wherein the at least one processor is to further determine a slowness of an event measured by the seismic sensor, and wherein determination of the calibration operator is further based on the slowness.

### Claim 19

An article comprising at least one non-transitory machine-readable storage medium storing instructions that upon execution cause a system to:
receive ground-roll rotation data based on measurement by a plurality of seismic sensors, each seismic sensor having a translational sensor, a first rotation sensor and a second rotation sensor;
receive translational data from the plurality of seismic sensors; and
determine a calibration operator based on the ground-roll rotation data and translational data, wherein the calibration operator is useable to relatively calibrate the ground-roll rotation data and the translational data.

### Claim 20 (depends on 19)

The article of claim 19, wherein the ground-roll rotation data is received from a rotational sensor.
