# US 11,029,431 B2 · Generating common image gather using wave-field separation

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- Number: US 11,029,431 B2
- Document ID: US11029431B2
- Status: Granted
- Kind: B2
- Application number: 16/276,403
- Filed: 2019-02-14
- Published: 2019-06-13
- Granted: 2021-06-08
- Earliest claimed: 2017-04-06
- Assignees: Saudi Arabian Oil Company
- Applicants: Saudi Arabian Oil Company
- Inventors: Dongliang Zhang; Tong Wang Fei; Yi Luo
- Web page: https://patentgrep.com/patent/US11029431B2

## CPC

- G01V 1/303: {for determining velocity profiles or travel times}
- G01V 1/32: Transforming one recording into another {or one representation into another}
- G01V 1/28: Processing seismic data, e.g. for interpretation or for event detection (G01V1/48 takes precedence)
- G01V 1/36: Effecting static or dynamic corrections on records, e.g. correcting spread; Correlating seismic signals; Eliminating effects of unwanted energy
- G01V 2210/48: Other transforms
- 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

The present disclosure describes methods and systems, including computer-implemented methods, computer program products, and computer systems, for generating Angle Domain Common Image Gathers (ADCIGs). One computer-implemented method includes receiving, at a data processing apparatus, a set of seismic data associated with a subsurface region wherein the set of seismic data includes receiver signal data at a plurality of time steps; for each time step in the plurality of time steps: calculating a receiver wavefield based on the receiver signal data at the respective time step; separating a first direction receiver wavefield and a second direction receiver wavefield of the receiver wavefield using Hilbert transformation of the receiver signal data at the respective time step; and applying an optical flow process on the first direction receiver wavefield to calculate wavefield directions; and generating an Angle Domain Common Image Gather (ADCIG) based on the wavefield directions.

## Claims

### Claim 1

A device, comprising:
at least one hardware processor; and
a non-transitory computer-readable storage medium coupled to the at least one hardware processor and storing programming instructions for execution by the at least one hardware processor, wherein the programming instructions instruct the at least one hardware processor to:
receive, at the at least one hardware processor, a set of seismic data associated with a subsurface region, wherein the set of seismic data includes receiver signal data at a plurality of time steps;
for each time step in the plurality of time steps:
calculate, by the at least one hardware processor, a receiver wavefield based on the receiver signal data at the respective time step;
separate, by the at least one hardware processor, a first direction receiver wavefield and a second direction receiver wavefield of the receiver wavefield using Hilbert transformation of the receiver signal data at the respective time step; and
apply, by the at least one hardware processor, an optical flow process on the first direction receiver wavefield to calculate wavefield directions;
generate, by the at least one hardware processor, an Angle Domain Common Image Gather (ADCIG) based on the wavefield directions; and
analyze the ADCIG to determine at least one of a trap or a structure of hydrocarbon accumulation in the subsurface region.

### Claim 2 (depends on 1)

The device of claim 1, wherein the first direction receiver wavefield is down-going and the second direction receiver wavefield is up-going.

### Claim 3 (depends on 1)

The device of claim 1, wherein the first direction receiver wavefield is at least one of left-going or right-going.

### Claim 4 (depends on 1)

The device of claim 1, wherein the set of seismic data further includes source signal data at the plurality of time steps, and the programming instructions instruct the at least one hardware processor to:
for each time step in the plurality of time steps:
calculate, by the at least one hardware processor, a source wavefield based on the source signal data at the respective time step;
separate, by the at least one hardware processor, a first direction source wavefield and a second direction source wavefield of the source wavefield using Hilbert transformation of the source signal data at the respective time step; and
apply, by the at least one hardware processor, a second optical flow process on the first direction source wavefield to calculate source wavefield directions; and
wherein the ADCIG is generated further based on the source wavefield directions.

### Claim 5 (depends on 1)

The device of claim 1, wherein generating the ADCIG comprises:
calculating a half opening angle based on the wavefield directions; and
generating the ADCIG by binning and summing images based on the half opening angle.

### Claim 6 (depends on 1)

The device of claim 1, wherein separating the first direction receiver wavefield and the second direction receiver wavefield comprising solving Ht(P) based on an equation:
Δ
⁢
⁢
H
t
⁡
(
P
)
=
1
v
⁢
∂
2
⁢
H
t
⁡
(
P
)
∂
t
2
+
H
t
⁡
[
f
⁡
(
t
)
]
,
wherein P represents the receiver wavefield, Ht(P) represents a Hilbert transform of the receiver wavefield, v represents a velocity model, t represents a time step, and ƒ(t) represents a source function.

### Claim 7 (depends on 1)

The device of claim 1, wherein the programming instructions instruct the at least one hardware processor to: generate a seismic image based on the ADCIG.