A method and device for monitoring oil field operations with a <span class="c21 g0">fiberspan> optic distributed acoustic sensor (DAS) that uses a <span class="c0 g0">continuousspan> wave laser light source and modulates the <span class="c0 g0">continuousspan> wave output of the laser light source with pseudo-random binary sequence codes.
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0. 27. A method, comprising:
modulating a <span class="c0 g0">continuousspan>-wave light beam with pseudo-random binary sequence codes;
transmitting the modulated <span class="c0 g0">continuousspan>-wave light beam through a <span class="c21 g0">fiberspan>-optic cable;
wherein the pseudo-random binary sequence codes are periodic with a <span class="c3 g0">periodspan> of Tb and the minimum <span class="c3 g0">periodspan> of each code is Tc;
and wherein a length of the <span class="c21 g0">fiberspan>-optic cable is L, a <span class="c11 g0">spatialspan> <span class="c12 g0">samplingspan> <span class="c3 g0">periodspan> along the <span class="c21 g0">fiberspan> is Δz, and a <span class="c15 g0">bandwidthspan> of a sensed acoustic perturbation is <span class="c16 g0">σspan>A; and
e####
N is chosen so that NTc=Tb;
Tb is chosen so that
and
Tc is chosen so that
detecting backscattered rayleigh signals from the <span class="c21 g0">fiberspan> optic cable; and
using the detected backscattered rayleigh signals to identify and to measure one or more acoustic perturbations from one or more locations along the <span class="c21 g0">fiberspan>-optic cable.
11. A method for monitoring regions of interest for occurrences that generate acoustic perturbations, comprising:
a. deploying a <span class="c21 g0">fiberspan> optic cable into a region of interest;
b. transmitting a <span class="c0 g0">continuousspan> wave laser light source through the <span class="c21 g0">fiberspan> optic cable;
c. modulating the <span class="c0 g0">continuousspan> wave output of the laser light source with pseudo-random binary sequence codes; wherein the pseudo-random binary sequence codes are binary sequences of ones and negative ones;
d. and wherein the pseudo-random binary sequence codes are periodic with a <span class="c3 g0">periodspan> of Tb and the minimum <span class="c3 g0">periodspan> that the code stays at a certain value is Tc;
e. and wherein the <span class="c21 g0">fiberspan> optic cable length L, the <span class="c10 g0">desiredspan> <span class="c11 g0">spatialspan> <span class="c12 g0">samplingspan> Δz, and the acoustic <span class="c2 g0">signalspan> <span class="c15 g0">bandwidthspan> <span class="c16 g0">σspan>A are specified in advance for the application; and
i. N is chosen so that NTc=Tb;
ii. Tb is chosen so that
where ρ is small compared to
and
iii. Tc is chosen so that
f. detecting backscattered rayleigh signals from the deployed <span class="c21 g0">fiberspan> optic cable; and
g. using the detected backscattered rayleigh signals to identify and measure the acoustic perturbations from locations in the region of interest.
0. 26. A <span class="c6 g0">systemspan>, comprising:
a light source <span class="c7 g0">configuredspan> to generate a <span class="c0 g0">continuousspan> <span class="c1 g0">coherentspan> <span class="c2 g0">signalspan> of a predetermined wavelength into an <span class="c20 g0">opticalspan> <span class="c21 g0">fiberspan>;
a pseudo-random binary code sequence generator <span class="c7 g0">configuredspan> to be driven by a master clock;
an <span class="c20 g0">opticalspan> modulator having first and second ports <span class="c7 g0">configuredspan> to receive the primary <span class="c1 g0">coherentspan> light <span class="c2 g0">signalspan> from the light source and a generated pseudo-random binary codes from the pseudo-random binary code sequence generator to produce a modulated light <span class="c2 g0">signalspan>;
wherein the pseudo-random binary sequence codes are binary sequences of ones and negative ones;
and wherein the pseudo-random binary sequence codes are periodic with a <span class="c3 g0">periodspan> of Tb and the minimum <span class="c3 g0">periodspan> that the code stays at a certain value is Tc;
and wherein an <span class="c20 g0">opticalspan>-<span class="c21 g0">fiberspan> length L, a <span class="c10 g0">desiredspan> <span class="c11 g0">spatialspan> <span class="c12 g0">samplingspan> Δz, and an acoustic <span class="c2 g0">signalspan> <span class="c15 g0">bandwidthspan> <span class="c16 g0">σspan>A are specified in advance for the application; and
e####
N is chosen so that NTc=Tb;
Tb is chosen so that
where ρ is small compared to
and
Tc is chosen so that
an <span class="c20 g0">opticalspan> circulator/coupler <span class="c7 g0">configuredspan> to receive the modulated light <span class="c2 g0">signalspan> from the <span class="c20 g0">opticalspan> modulator and to pass it into the <span class="c20 g0">opticalspan> <span class="c21 g0">fiberspan>;
a <span class="c5 g0">detectorspan> <span class="c6 g0">systemspan> <span class="c7 g0">configuredspan> to be driven by the master clock for de-modulating, correlating, and de-multiplexing returned backscattered rayleigh signals from the <span class="c20 g0">opticalspan> <span class="c21 g0">fiberspan>, wherein the <span class="c5 g0">detectorspan> <span class="c6 g0">systemspan> has a <span class="c4 g0">processorspan> <span class="c7 g0">configuredspan> to detect <span class="c1 g0">coherentspan> rayleigh noise generated by the <span class="c20 g0">opticalspan> <span class="c21 g0">fiberspan> to identify acoustic events; and
wherein the <span class="c20 g0">opticalspan> circulator/coupler is <span class="c7 g0">configuredspan> to direct the returned backscattered rayleigh signals from the <span class="c20 g0">opticalspan> <span class="c21 g0">fiberspan> to the <span class="c5 g0">detectorspan> <span class="c6 g0">systemspan>.
1. A <span class="c6 g0">systemspan> for monitoring regions of interest for occurrences that generate acoustic perturbations, comprising:
a. an <span class="c20 g0">opticalspan> <span class="c21 g0">fiberspan> span positioned into a region of interest;
b. a light source for generating a <span class="c0 g0">continuousspan> <span class="c1 g0">coherentspan> <span class="c2 g0">signalspan> of a pre-determined wavelength into the <span class="c20 g0">opticalspan> <span class="c21 g0">fiberspan>;
c. a pseudo-random binary code sequence generator driven by a master clock;
d. an <span class="c20 g0">opticalspan> modulator having first and second ports for receiving the primary <span class="c1 g0">coherentspan> light <span class="c2 g0">signalspan> from the light source and a generated pseudo-random binary codes from the pseudo-random binary code sequence generator to produce a modulated light <span class="c2 g0">signalspan>;
e. wherein the pseudo-random binary sequence codes are binary sequences of ones and negative ones;
f. and wherein the pseudo-random binary sequence codes are periodic with a <span class="c3 g0">periodspan> of Tb and the minimum <span class="c3 g0">periodspan> that the code stays at a certain value is Tc;
g. and wherein the <span class="c21 g0">fiberspan> optic cable length L, the <span class="c10 g0">desiredspan> <span class="c11 g0">spatialspan> <span class="c12 g0">samplingspan> Δz, and the acoustic <span class="c2 g0">signalspan> <span class="c15 g0">bandwidthspan> <span class="c16 g0">σspan>A are specified in advance for the application; and
i. N is chosen so that NTc=Tb;
ii. Tb is chosen so that
where ρ is small compared to
and
iii. Tc is chosen so that
h. an <span class="c20 g0">opticalspan> circulator/coupler to receive the modulated light <span class="c2 g0">signalspan> from the <span class="c20 g0">opticalspan> modulator and pass it into the <span class="c20 g0">opticalspan> <span class="c21 g0">fiberspan> span positioned into the region of interest;
i. a <span class="c5 g0">detectorspan> <span class="c6 g0">systemspan> driven by the master clock for de-modulating, correlating, and de-multiplexing returned backscattered rayleigh signals from the <span class="c20 g0">opticalspan> <span class="c21 g0">fiberspan> span positioned into the region of interest, wherein the <span class="c5 g0">detectorspan> <span class="c6 g0">systemspan> has a <span class="c4 g0">processorspan> to detect <span class="c1 g0">coherentspan> rayleigh noise generated by the <span class="c20 g0">opticalspan> <span class="c21 g0">fiberspan> span positioned in the region of interest to identify acoustic events in the regions of interest; and
j. wherein the returned backscattered rayleigh signals from the <span class="c20 g0">opticalspan> <span class="c21 g0">fiberspan> span positioned into the region of interest are directed to the <span class="c5 g0">detectorspan> <span class="c6 g0">systemspan> by the <span class="c20 g0">opticalspan> circulator/coupler.
2. The <span class="c6 g0">systemspan> for monitoring regions of interest for occurrences that generate acoustic perturbations of
3. The <span class="c6 g0">systemspan> for monitoring regions of interest for occurrences that generate acoustic perturbations of
a. a heterodyne or homodyne demodulator;
b. a decoder; and
c. an FM demodulator.
4. The <span class="c6 g0">systemspan> for monitoring regions of interest for occurrences that generate acoustic perturbations of
5. The <span class="c6 g0">systemspan> for monitoring regions of interest for occurrences that generate acoustic perturbations of
a. circuitry for separating the electronic <span class="c2 g0">signalspan> from the heterodyne or homodyne demodulator into separate branches representing positions along the sensing <span class="c21 g0">fiberspan> optic;
b. circuitry for separating and time delaying the binary coding sequence with a delay proportional to the time it takes for the code to arrive at a defined position of the <span class="c20 g0">opticalspan> <span class="c21 g0">fiberspan>;
c. circuitry for multiplying in time filtering the separated electronic signals from the heterodyne or homodyne demodulator and the corresponding binary coding sequences to obtain signals that contain only the information representing certain positions in the <span class="c20 g0">opticalspan> <span class="c21 g0">fiberspan>; and
d. wherein the circuitries can be implemented either analogically or digitally.
6. The <span class="c6 g0">systemspan> for monitoring regions of interest for occurrences that generate acoustic perturbations of
7. The <span class="c6 g0">systemspan> for monitoring regions of interest for occurrences that generate acoustic perturbations of
8. The <span class="c6 g0">systemspan> for monitoring regions of interest for occurrences that generate acoustic perturbations of
9. The <span class="c6 g0">systemspan> for monitoring regions of interest for occurrences that generate acoustic perturbations of
10. The <span class="c6 g0">systemspan> for monitoring regions of interest for occurrences that generate acoustic perturbations of
12. The method for monitoring regions of interest for occurrences that generate acoustic perturbations of
13. The method for monitoring regions of interest for occurrences that generate acoustic perturbations of
14. The method for monitoring regions of interest for occurrences that generate acoustic perturbations of
15. The method for monitoring regions of interest for occurrences that generate acoustic perturbations of
16. The method for monitoring regions of interest for occurrences that generate acoustic perturbations of
17. The method for monitoring regions of interest for occurrences that generate acoustic perturbations of
18. The method for monitoring regions of interest for occurrences that generate acoustic perturbations of
19. The method for monitoring regions of interest for occurrences that generate acoustic perturbations of
20. The method for monitoring regions of interest for occurrences that generate acoustic perturbations of
21. The method for monitoring regions of interest for occurrences that generate acoustic perturbations of
22. The method for monitoring regions of interest for occurrences that generate acoustic perturbations of
0. 23. The method of claim 11 wherein the region of interest includes at least a portion of a perimeter of a high-security area.
0. 24. The method of claim 11 wherein the region of interest includes at least one straight portion.
0. 25. The method of claim 11 wherein deploying the <span class="c20 g0">opticalspan> <span class="c21 g0">fiberspan> includes deploying the <span class="c20 g0">opticalspan> <span class="c21 g0">fiberspan> to have at least one straight portion.
|
where c(t) is a spread-spectrum code signal, such that ∫c(t)c(t+τ)dt=δ(τ), and ωs is the carrier frequency. This results in the reception of the signal:
Eb(t)=∫0zr(z)μAc(t−2cL−1{circumflex over (z)}(t,z))Esscos(ωs(t−2cL−1{circumflex over (Z)}
where cL is the speed of light, Ess and μA are constants, r(z) is the distributed reflection along the fiber, and
with p(t,z) being the pressure at position z and time t.
Then upon heterodyne (or homodyne) demodulation to a baseband signal (but with the signal still spread):
where hLP(t) is a low-pass filter that removes the undesired spectral components around 2ωs. In the case of homodyne demodulation Δω=0.
Then the demodulated baseband signal can be decoded by:
Where hPB(t) is a band pass filter for heterodyne demodulation or a low-pass filter for homodyne demodulation.
More information regarding decoding is provided in the next section.
Decoding Analysis
Incorporating the information from the pass-band filter hPB(t) into the de-spreader:
If we now assume that:
that is, that the time delay variation caused by the acoustic pressure is negligible when compared to the time delay caused by the time of flight of the optic wave; it is possible to write:
It will be considered that the code c(t) has bandwidth σc, and also has the following property:
where function d(t) is the result of spreading the code twice, and has a bandwidth of 2σc. Hence, the integration region in the z variable can be decomposed into two disjoint sets:
1={z|z≤zi+|cLϵ−1|}
2={z|z>zi+|cLϵ−1|}.
Thus the received signal can be written as:
If the FM signal bandwidth is σFM, then most of the information of region in 2 is spread by the function d(t), and has bandwidth 2(σc+σFM) and is centered around frequency Δω, and most of the information of region in
1 is concentrated in frequency, has a bandwidth of σFM, and is centered around frequency Δω.
With that information, it is possible to specify the filter hPB(t) with center frequency Δω and passband of σFM that removes most of the information from the region 2 while leaving the information from
1 unaltered.
The decoded signal, then, can be written as:
where v(t,z) is a nuisance signal. It is also possible to note:
Acoustic Signal and FM Signal Bandwidth
Ideally, the decoded FM signal captured at position zi is:
Carson's rule states that for a signal of the form:
sFM(t)=Ac cos(ωct+fΔΨ(t)),
and its bandwidth is:
σFM=2(fΔ+σA),
where σA is the bandwidth of the modulating signal.
Adapting the Carson's rule for the decoded signal, one obtains:
where this approximate σFM usually covers 98% of the energy of the FM signal. It should also be noted that σA is actually the bandwidth of the derivative of p(t, zi). In practice, since there are an infinite number of p(t,z) influencing the FM signal, the worst-case (largest possible value of σA) should be selected. Alternatively, a bandwidth for the acoustic pressure can be arbitrarily chosen and then the assumed FM signal bandwidth can be determined.
With this background and term definition we are now in a position to propose a code design.
Code Design
We have found that for the applications of this disclosure Maximal Length Sequences (M-Sequences) and the use of auto-correlation provide excellent code candidates. In particular, two parameters are of interest for the spread spectrum sensing using fiber optics: the ϵ of the sequence and its bandwidth. ϵ (epsilon) is the smallest delay to the signal for which the sequence can be recovered. Any delay larger than epsilon, produces a noise-like sequence.
M-Sequences are bipolar sequences that can be generated through the use of a feedback-shift register (FSR). For the sake of the following discussion, it will be considered that c(t)ϵ{−1,1} and that it is periodic with period equal Tb, also the minimum period that the code stays at a certain value is Tc.
The following properties are true for an m-sequence.
Code Requirements
Using the properties just defined in the previous section, the following specifications can be defined for a coding sequence.
The symbol period Tc is related to the autocorrelation properties of the sequence. Also, it can be seen that the shorter the period the more different two time shifted codes become. Hence, the parameter ϵ is directly proportional to Tc:
ϵ∝Tc,
The smaller the Tc, the better is the ability of the code to pick out the signal from a desired position.
The possible spatial sampling Δz of the z axis is also governed by the choice of Tc. A conservative separation between positions equal to
Thus, the smaller the period of the code the greater the number of positions that can be sampled.
The symbol period is also related to the code bandwidth. In order to yield a good separation of signals from neighboring regions, the code bandwidth should be greater than the bandwidth of the FM signal:
σc=2/Tc>>2(σΔ+σA),
where σΔ is the spread in frequency introduced by frequency modulation and σA is the acoustic signal bandwidth. so that,
Since the code is periodic, its period Tb should be greater than that of the time it takes for the light to transverse the whole fiber optic cable and arrive back at the receiver. Mathematically
where L is the length of the fiber optic.
Combining the equations above, one has
which gives a loose upper bound and a more tight lower bound for the requirement for the code length. Considering these bounds, a good strategy would be to use a code with length close to (but not equal to)
The following steps would then be employed to specify the system:
where ρ is small when compared to
Turning now to
A more detailed depiction of the detector system 7, to explain the separate functions of heterodyne or homodyne demodulation, decoding, and FM demodulation is shown in
Some possible configurations for deployment of distributed sensing systems in and around a wellbore are shown in
Then in step 430 N is chosen so that NTc=Tb and Tc so that
Although certain embodiments and their advantages have been described herein in detail, it should be understood that various changes, substitutions and alterations could be made without departing from the coverage as defined by the appended claims. Moreover, the potential applications of the disclosed techniques is not intended to be limited to the particular embodiments of the processes, machines, manufactures, means, methods and steps described herein. As a person of ordinary skill in the art will readily appreciate from this disclosure, other processes, machines, manufactures, means, methods, or steps, presently existing or later to be developed that perform substantially the same function or achieve substantially the same result as the corresponding embodiments described herein may be utilized. Accordingly, the appended claims are intended to include within their scope such processes. machines, manufactures. means, methods or steps.
Skinner, Neal G., Nunes, Leonardo de Oliveira, Stokely, Christopher
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