Seismic source separation
View Patent ↗Seismic acquisition systems are disclosed that allow contemporaneous seismic sources to be separated from a composite signal comprising two or more constituent seismic sources. In some embodiments, a representation of the composite signal may be developed that includes a noise contribution of undesired signals present in the composite signal. Additionally, an operator, referred to herein as an “annihilator”, may be developed such that it may be conditioned and inverted to minimize undesired noise contributions in the composite signal. This inversion may assist in recovering the constituent seismic sources from the composite signal. Furthermore, in some embodiments, the accuracy with which the constituent source measurements are approximated may be increased by implementing them as random sweeps having a conventional length.
1. A method of processing geophysical data, the method comprising the acts of:
emitting a first sweep sequence;
emitting a second sweep sequence contemporaneous to the first sweep sequence, the second sweep sequence being distinct from and randomly correlated with the first sweep sequence;
receiving a blended signal that includes components corresponding to the first and second sweep sequences;
determining a blending operator indicative of a noise contribution of the second sweep sequence in the blended signal, wherein the blending operator is a measure of interference between the first and second distinct and randomly correlated sweep sequences; and
determining a first annihilator capable of increasing a rank of the blending operator;
wherein at least one of the acts of determining the blending operator and/or determining the first annihilator is performed using a computer system.
2. The method of claim 1 , wherein the first and second sweep sequences have frequency spectra that are substantially flat.
3. The method of claim 1 , wherein the first and second sweep sequences are implemented using maximum length sequences.
4. The method of claim 1 , wherein the act of emitting the first sweep sequence occurs using a first source and the act of emitting the second sweep sequence occurs using a second source.
5. The method of claim 4 , further comprising the act of optimizing the first sweep signal to the first source prior to the act of emitting the first sweep sequence.
6. The method of claim 5 , wherein the act of optimizing includes employing least-squares operations.
7. The method of claim 4 , wherein the act of emitting the first sweep sequence occurs using the second source and the act of emitting the second sweep sequence occurs using the first source on a subsequent sweep.
8. The method of claim 4 , wherein the act of receiving occurs using multiple receivers.
9. The method of claim 8 , wherein the receivers comprise geophones.
10. The method of claim 1 , wherein the act of determining the blending operator includes cross correlating the blended signal with the first sweep sequence.
11. The method of claim 1 , further comprising the act of inverting the blending operator and the first annihilator.
12. The method of claim 1 , further comprising the act of measuring test sweeps for the first and second sweep sequences.
13. The method of claim 1 , further comprising the act of determining a second annihilator based on the first annihilator.
14. The method of claim 13 , wherein the second annihilator relates to a separate geographic location than the first annihilator.
15. The method of claim 13 , further comprising the act of interpolating the first annihilator to determine the second annihilator.
16. The method of claim 1 , wherein the blending operator is further a measure of separation between the first and second distinct and randomly correlated sweep sequences.
17. A method of processing geophysical data, the method comprising the acts of:
emitting a first sweep sequence;
emitting a second sweep sequence contemporaneous to the first sweep sequence;
receiving a blended signal that includes components corresponding to the first and second sweep sequences;
determining a blending operator indicative of a noise contribution of the second sweep sequence in the blended signal; and
determining a first annihilator capable of increasing a rank of the blending operator;
wherein the blending operator indicative of the noise contribution of the second sweep sequence in the blended signal comprises
∑
i
=
1
,
j
≠
i
n
E
j
⊗
s
j
⊗
s
_
i
,
where s j is the second sweep sequence, E j refers to a matrix having columns that generally correspond to measurements of the second sweep sequence from an array of receivers, and s i is the time reversal of the first sweep sequence s i that originates at a location l;
further wherein at least one of the acts of determining the blending operator and/or determining the first annihilator is performed using a computer system.
18. A method of processing geophysical data, the method comprising the acts of:
emitting a first sweep sequence;
emitting a second sweep sequence contemporaneous to the first sweep sequence;
receiving a blended signal that includes components corresponding to the first and second sweep sequences;
determining a blending operator indicative of a noise contribution of the second sweep sequence in the blended signal; and
determining a first annihilator capable of increasing a rank of the blending operator;
wherein the act of determining the first annihilator comprises determining the coefficients λ j,y,ω i such that
E
i
(
i
y
)
(
ω
)
-
∑
j
≠
i
λ
j
,
y
,
ω
i
E
j
(
j
y
)
ω
is minimized for each triple i, y, ω, where E i (i y )(ω) denotes the impulse response of an array of receivers for a source at location i, with offset y between the source and the array of receivers, and frequency ω;
further wherein at least one of the acts of determining the blending operator and/or determining the first annihilator is performed using a computer system.
19. A method of processing geophysical data, the method comprising the acts of:
emitting a first sweep sequence;
emitting a second sweep sequence contemporaneous to the first sweep sequence;
emitting a third sweep sequence;
receiving a blended signal that includes components corresponding to the first and second sweep sequences;
determining a blending operator indicative of a noise contribution of the second sweep sequence in the blended signal;
determining a first annihilator capable of increasing a rank of the blending operator; and
inverting the blending operator and the first annihilator;
wherein the acts of determining the blending operator, determining the first annihilator, and inverting are performed on the third sweep sequence after being performed on the second sequence;
further wherein at least one of the acts of determining the blending operator, determining the first annihilator, and/or inverting the blending operator and the first annihilator is performed using a computer system.