The present invention relates to remotely detecting fluid leaks in general and, specifically, to systems and methods for measuring and mapping fluid concentrations.
Detection of fluid leaks, such as natural gas leaks from pipelines, is well known in the art. It is difficult to detect failures of gas and oil pipelines, because the gas or oil pipeline is typically buried beneath ground level. When failures do occur, they are manifest by the leakage of the pipeline contents, where the leaking material produces a characteristic trace or signal which may be measured. Because fluids can escape from a pipeline and travel through subterranean earth to the earth's surface and then into the atmosphere, the atmosphere can be monitored for the trace fluids.
Differential absorption LIDAR (DIAL) systems may be used to remotely measure the chemical composition of fluids in the atmosphere. DIAL systems may be provided on an airborne or a ground-based platform. In a DIAL system, at least two lasers having different wavelengths are transmitted to a survey area for trace fluid detection from a remote location. Although a DIAL system may use two or more lasers, it is understood that, in general, a DIAL system uses at least two different wavelengths for trace fluid detection. It is contemplated that a single laser may be used in a scheme similar to frequency hopping to select different wavelengths or may be tuned to different wavelengths. The wavelength of one of the lasers, referred to as the on-line laser, is typically selected to coincide with a strong absorption feature of the fluid to be detected. The wavelength of another of the lasers, referred to as the off-line laser, is typically selected such that it is not absorbed by the target fluid. The transmitted laser beams may be reflected, scattered and/or absorbed before being received by the DIAL system. If the target fluid is present, a portion of the transmitted on-line laser energy may be absorbed by the target fluid and the received energy may be different from the received off-line laser energy. If the target fluid is not present, both received laser energies may be approximately equal. A difference in received energies may be used to estimate a concentration path length (CPL) of the target fluid used for estimating a concentration of the target fluid.
Natural gas, for example, characteristically contains a mixture of methane, ethane, and small amounts of other gases. Oil pipelines also contain significant concentrations of volatile dissolved gas compounds, including methane, ethane, and propane. Gas may also be generated by the decomposition of organic matter, henceforth, referred to as swamp gas, and may only contain methane. Measurement of the expected components and a confirmation of the appropriate concentration ratio between these components can thus be used to directly establish the presence of a pipeline leak. It is contemplated that swamp gas may also be distinguished from a target fluid by observing a shape, spatially, of the emitted plume. Swamp gas may have a different shape as compared with a target fluid. In general, it is highly desirable for any fluid detection method to be able to distinguish between released gases resulting from a failure in a pipeline or a holding container versus emanating swamp gases, thus avoiding false alarms.
It will be appreciated that in many DIAL systems, the on-line returns are typically not much higher in energy than the background noise. This low signal-to-noise ratio (SNR), when the target fluid is present in the survey area, results in ambiguities or difficulties in detecting the on-line returns. Variation in spectral surface reflectivity typically causes a corresponding variation in the on-line and off-line returns. This variation is made more pronounced in the detection algorithm if the variation in the off-line is in an opposite direction as the on-line (e.g. the off-line reflectivity is higher and the on line reflectivity is lower). It is also made more pronounced if there is misalignment of the on-line and off-line beams (partially overlapping beams).
Low surface cover reflectivity results in low off-line and on-line returns whereas high surface cover reflectivity results in high returns. When the returned signal is low relative to noise, electrical noise may dominate and cause a low SNR and large CPL variance, but the opposite is also true. When the returns are high relative to noise, the signal dominates, leading to a high SNR and low CPL variance. Because the surface cover reflectivity varies from point to point and from region to region, so do the off-line and on-line returns and thus the SNR.
In practice, DIAL systems are calibrated. However, it may be difficult to correct for reflectivity variations due to the type of surface cover in many situations. If the surface cover reflectivity variations are not properly corrected, significant errors in CPL estimates of the target fluid may result, leading to false identification of target fluid plumes (or lack of plumes).
U.S. Pat. No. 6,822,742, issued on Nov. 23, 2004 to Kalayeh et al., entitled SYSTEM AND METHOD FOR REMOTE QUANTITATIVE DETECTION OF FLUID LEAKS FROM A NATURAL GAS OR OIL PIPELINE, provides a system for remote quantitative detection of fluid leaks from a natural gas or oil pipeline by use of an airborne platform. The contents of the above referenced application are incorporated herein by reference in their entirety.
The present invention is embodied in a method for obtaining a target fluid map of a survey area using a differential absorption LIDAR (DIAL) system. The method transmits a plurality of pulse bursts toward the survey area. Each transmitted pulse burst includes an off-line pulse and at least one on-line pulse. The method further receives a plurality of pulse bursts from the survey area. Each received pulse bursts is associated with a measurement point. The method determines, for each measurement point, a concentration path length (CPL) corresponding to a respective on-line pulse, a spatial location associated with the CPL, and an error associated with the CPL. The method arranges the CPL for each of the measurement points within the survey area to form the target fluid map.
The present invention is also embodied in a system for obtaining a target fluid map of a survey area using a DIAL system that transmits a plurality of pulse bursts toward the survey area. Each transmitted pulse burst includes an off-line pulse and at least one on-line pulse. The system includes an input terminal for receiving a plurality of pulse bursts from the survey area, where each pulse burst is associated with a measurement point. The system also includes a CPL estimator configured to determine, for each measurement point, a CPL corresponding to a respective on-line pulse and determine a spatial location associated with the respective CPL. The system further includes a quality factor error estimator configured to determine an error associated with the CPL for each of the measurement points and a CPL map generator configured to arrange the CPL, for each measurement point, within the survey area to form the target fluid map.
The present invention is further embodied in a CPL estimator for estimating at least one CPL from a pulse burst received from a DIAL system. The pulse burst includes an off-line pulse and at least one on-line pulse corresponding to a measurement point of a survey area. The CPL estimator includes a pulse finder configured to detect the off-line pulse and the at least one on-line pulse of the pulse burst. The CPL estimator further includes a pulse energy system configured to determine an off-line pulse energy and at least one on-line pulse energy associated with the detected off-line pulse and the detected at least one on-line pulse. The CPL estimator further includes a reflectivity ratio corrector configured to correct a reflectivity ratio parameter for the received pulse burst and a CPL processor configured to determine the at least one CPL using a ratio of the at least one on-line energy to the off-line energy, and the corrected reflectivity ratio parameter.
The invention is best understood from the following detailed description when read in connection with the accompanying drawing. It is emphasized that, according to common practice, the various features of the drawing are not to scale. On the contrary, the dimensions of the various features are arbitrarily expanded or reduced for clarity. Included in the drawing are the following figures:
The present invention described herein addresses the concentration detection of measured target fluids, for example trace gases associated with oil and gas leakages from pipelines. This invention relates to an oil and gas pipeline leak detection system and method of detecting gas concentration in the atmosphere and more particularly, but not by way of limitation, to mapping pipeline leak concentration over a survey area based upon differential absorption lidar (DIAL) sensing techniques operating in a mid-infrared spectral range.
In general, many fluids may be detected or explored, such as gas, volatile oil, light crude oil, heavy crude oil, hazardous gases, hazardous liquids, or chemical and biological agents. Gas concentrations, for example, may be mapped over an area and the maps may be analyzed for concentration anomalies. These gas anomalies may be interpreted to determine underground pipeline leaks.
As used herein, the term “target fluids” indicates fluids that are either liquids or gases, for example, target fluids associated either directly or indirectly with pipeline leaks. The measured atmospheric concentrations of these target fluids form the basis of the present invention. Each target fluid has some unique characteristics in its association with the pipeline leak. For example, methane is produced in a number of ways. Methane may occur in the atmosphere as a result of emission from a hydrocarbon deposit, emission from a coal deposit, emission from wetlands with active populations of methane producing bacteria, emission from a leaking natural gas pipeline, etc.
Sources of methane other than a pipeline leak are considered to be environmental interferences. Environmental interferences, which complicate the association between a target fluid and the pipeline leak, vary in magnitude and type according to factors such as soil type, hydrology, subsurface structure and composition, as well as atmospheric conditions, weather and land use.
The present invention may be configured as a differential absorption lidar (DIAL) system that samples a path through the atmosphere. According to an aspect of the present invention, a single pulse burst is transmitted for each measurement location within a survey area. Associated with each transmitted pulse burst, a multi-line laser radar may produce N on-line single pulses and at least one off-line pulse, where each on-line pulse is associated with a specific target fluid wavelength and the off-line pulse is associated with a wavelength that does not correspond to a target fluid. The present invention processes pulse burst returns from the multi-line laser radar to determine the presence of natural gas and other fluid leaks. The present invention estimates the concentration path length (CPL) for the N target gases and/or fluids. Each of the estimated CPL's may be assigned a geolocation and formed into a CPL spatial map over the survey area. The method may employ spatial image processing algorithms and noise reduction algorithms to reduce a noise level of the CPL spatial map and produce a two- or three-dimensional target fluid map. The target fluid map may also be combined with ancillary data.
Based on a predetermined flight path, aircraft 110 flies at altitude 140 along ground track 105. During the flight, an onboard global positioning system (GPS) and inertial measurement unit (IMU) (not shown) guide the pilot along a target location following pipeline 160. When the aircraft reaches the target location, laser beams 130 are automatically pointed to the target, as the scanner system scans the surrounding target region. According to an embodiment of the present invention, a single pulse burst, further described below, is transmitted for each measurement location. The returned pulse is analyzed to develop target fluid concentration maps or images of the trace gas plumes in units of concentration path-length. In the example of
Although
In a multi-tunable laser DIAL measurement system, in accordance with the present invention, multiple single-wavelength laser pulses are transmitted in one pulse burst. A laser pulse of a specific wavelength, i.e. λ1, is chosen which is absorbed by one of the target fluids of interest to represent one of the on-line wavelengths. In general, the remaining laser pulses of the pulse burst are provided at different wavelengths, i.e. λ2 . . . λN, that are not absorbed by the specific target fluid corresponding to λ1. It is contemplated that for more complex target fluids (i.e. target fluids having a broad spectral line), more than one wavelength may be selected to detect the target fluid. In an exemplary embodiment, a single on-line wavelength is selected for methane and three on-line wavelengths are selected for propane. An off-line wavelength, i.e. λ0, is also provided which represents a non-target fluid wavelength. The energy reflected back to the sensor for each wavelength, i.e. λ0, λ1, . . . λN, is measured and combined to generate an estimate of the target fluid concentration path lengths (CPLs).
CPL estimation for a single target fluid will now be discussed with respect to a 2-laser DIAL measurement system. It is understood that a similar process may be performed for a multi-laser DIAL measurement system to estimate respective CPLs for multiple target fluids, in accordance with the present invention.
In a 2-laser DIAL measurement system, two single-wavelength, laser pulses are transmitted. One laser pulse of a specific wavelength is chosen which is absorbed by the gas of interest. The other laser pulse is chosen at a different wavelength that is not absorbed by the target fluid of interest. The energies reflected back to the sensor for both wavelengths are measured and combined to generate an estimate of the target gas CPL.
Laser light transmitted from a LIDAR system may be reflected, absorbed, scattered and transmitted by the target. The light may be scattered back toward the LIDAR system through many mechanisms. Aerosol particles are a typical mechanism for scattering light toward the receiver. The scattering due to aerosol particles, however, typically produces a weak signal. A stronger signal may be produced by using a reflector surface. If two or more wavelengths of light are used, the difference in absorption of the light at the different wavelengths due to the target fluid may be used to determine how much target fluid is intersected by the transmitted light. The energy in a returned pulse burst may be given by:
where EL is the laser output pulse energy, ρ is the reflectivity of the surface at wavelength λ, RT is the range or distance to the surface, D is the aperture diameter (assuming a circular aperture). The terms ξ(λ) and ξ(RT) represent the spectral response of the optical system and the receiver/laser geometric form factor. The exponential term represents the transmission of the laser light through the atmosphere.
A columnar measurement of the target fluid concentration, i.e. a CPL, may be defined as:
where N(R) is the concentration of a fluid species in a volume, and R is the path of the laser light through the volume.
Differential absorption may be used to estimate the return energies for the on-line wavelength and the off-line wavelength. Let E1 denote the return energy at the on-line wavelength and let E0 represent the return energy at the off-line wavelength. Then, the ratio of E1/E0 is expressed by:
where κ(λon, R) is the absorption coefficient for the on-line wavelength, κ(λoff,R) is the absorption coefficient of the off-line wavelength, ρon is the reflectivity for the on-line wavelength and ρoff is the reflectivity for the off-line wavelength. Taking the log of both sides and rearranging terms yields
and where Cρ is the reflectivity ratio, N(R) is the concentration of the desired target fluid and σ(λon) and σ(λoff) are the molecular absorption cross sections of the on-line and off-line wavelengths, respectively. The quantities κ(λon,R) and κ(λoff,R) are the absorption coefficient of all atmospheric gases other than the target. Equation (4) assumes that ξ(λon)=ξ(λoff) and ξon(RT)=ξoff(RT).
The CPL measurement may be further approximated by:
where it is assumed that there are no beam alignment problems.
In some cases, it is desired to measure a target fluid that is naturally present in the atmosphere. In such cases, the background concentration is typically measured and subtracted from the value calculated in equation (6). The CPL measurement for a target fluid that is naturally present may be approximated by:
where Nb is the background concentration.
Ideally, equation (6) or (7) may be used to detect a single target fluid. However, to account for non-ideal conditions several calibration parameters may be included. Then, the CPL may be approximated by:
where
Cσ=(σa(λon)−σa(λoff)) (9)
CK=ln(Cρ)+CK′ (10)
and where
Cσ represents the fluid absorption cross-section at each wavelength and is given in parts per million meter. CK′ represents the effect of differences in atmospheric concentration length. Csys and Cfit represent system parameters and units factors. These parameters are found experimentally as part of the system calibration.
It is understood that a differential reflectance algorithm may also be used by the present invention for detection of liquid targets provided the liquid has a detectable spectral signature.
According to an embodiment of the present invention, the system utilizes (1, . . . , N) on-line wavelengths and at least one off-line wavelength to detect desired target fluids. Accordingly, equation (8) may be computed for each energy ratio, i.e. E1/E0, . . . , EN/E0.
According to an embodiment of the present invention, the system estimates the fluid absorption cross-section, Cσ. For example, for detecting natural gas, a gas cell may be provided within the detection system to adjust for shifts in transmitter output wavelengths. In general, an onboard monitoring system (
The on-line wavelengths may be selected close to the peak of a respective target fluid's optical absorption wavelength and the off-line wavelength may be selected near the wing of one of the target fluid's optical absorption wavelengths.
The outputs from the off-line laser and the N on-line lasers are provided as temporally spaced pulses that are combined into a large power pulse burst. The temporal spacing may be sufficiently close so that the pulses in the burst are transmitted to the same location. According to an exemplary embodiment, a single large power pulse burst is transmitted and received for each measurement location.
Although
System 200 includes an output energy monitoring system (not shown) within line lock amplifiers 275, 210, 265, etc., and 211 to monitor the output energy at each wavelength. The output from the output energy monitoring system is provided to computer control, acquisition and analysis system 235 and used to normalize the return energies of each respective wavelength, described further with respect to
The off-line and on-line laser beams 285, 220, 295, etc., and 212, respectively, are combined by holographic grating 240 to form combined laser beam 230. The combined laser beam 230 is transmitted by mirror 250 through optics 202 to form output laser beam 204. For the region of interest, target fluids in the atmosphere near the ground are sequentially scanned by output laser beam 204. At least a portion of output laser beam 204 may be reflected by the reflective surface as an input beam (also designated as 204), eventually becoming returned light 270.
The returned light 270 passes through a set of beam splitters 280 before encountering a set of filters 290. These set of filters are tuned, respectively, to pass each of the on-line and off-line wavelengths. A set of detectors 205 converts each of the filtered beams into a respective electronic signal. The electronic signals are amplified by amplifiers 215 and converted into a digital signal by analog to digital (A/D) converter 225. The digitized signal is processed and analyzed by computer control, acquisition and analysis system 235 to estimate the CPL for each target fluid wavelength, at each measurement location, using the on-line and off-line returned signals. Thus, target fluids are qualitatively identified and measured over a survey area based on the estimated CPLs.
System 200 includes cross-section monitor 246 which measures the fluid absorption cross-section Cσ (in ppm). Portions of the beam energies from on-line laser sources 220, 295, etc., and 212 and off-line laser source 285 are redirected by beam splitters 242 to cross-section monitor 246, shown as beam 244. In an exemplary embodiment, cross-section monitor 246 includes gas-cells (not shown) which contain a small quantity of the target fluids, such as natural gas, to be measured. The same gas cell containing the target fluid is also used to measure the cross-section absorption by the off-line wavelength. The gas cell may thus be used to measure a difference in absorption cross-section between each on-line wavelength and off-line wavelength (see equation 9). The differences between each on-line wavelength and off-line wavelength may be digitized by low rate A/D converters (not shown) and output to computer control, acquisition and analysis system 235. In an exemplary embodiment, the fluid absorption cross-section is performed in real-time in order to compensate for the stability of the on- and off-line laser wavelengths over a flight path.
Sensor system 304 transmits laser beams toward target fluids 302 and receives returned laser beams from target fluids 302. The returned light is provided to detection system 310 which detects and electronically conditions the returned signal at the off-line and on-line wavelengths. Detection system 310 digitizes the detected signal and provides the digitized signal to signal acquisition/signal analysis system 312. Although detection system 310 is illustrated as being a separate system, it is contemplated that detection system 310 may be part of sensor system 304. Signal acquisition/signal analysis system 312 estimates target fluid CPLs and generates two or three-dimensional target fluid maps.
Flight path-finding and laser pointing system 318 includes, on-board aircraft positional and motion measurement sensors, a GPS and an Inertial Measurement Unit (IMU).
Consumer-acquired pipeline positional data may be processed, filtered, normalized and stored in pipeline positional database 316. Pipeline positional database 316 may also process, filter and normalize the GPS and IMU positional data to predict an optimal flight path and update the pipeline positional database with the predicted flight path.
Pulse bursts that are transmitted and received according to an aspect of the present invention are now described with respect to
For each measurement point 402, a single high energy pulse bundle (high pulse energy in each pulse, where the N+1 pulses are each at a different wavelength) is transmitted and received. A DIAL system typically transmits a plurality of low energy pulse bundles for each measurement point 402. The received pulses are typically averaged. This, however, requires long dwell times over the target measurement point and, therefore, reduces area coverage. The present invention, however, transmits a single high energy pulse bundle which allows for reduced dwell times over any single measurement point. The returned pulse bundle is reconstructed at the 500 MHz rate to provide 10 samples (for example) to reconstruct each pulse.
The output of CPL estimator 504 is provided to quality factor error estimator 506. The quality factor error estimator estimates a data quality so that data points having poor SNR can be discarded. In the exemplary embodiment, CPL map generator 510 uses the estimated data quality factor to discard poor SNR quality data points.
The output of geolocated CPL estimator 504 and quality factor error estimator 506 are provided to database 508. The database stores the geolocated CPL and an associated quality factor for each geo-location.
CPL mapping system 500 includes CPL spatial map generator 510 for generating a CPL spatial map using the geolocated CPLs and associated quality factors retrieved from database 508. As shown, for example, in
CPL mapping system 500 also includes spatial filter subsystem 512 which receives the output of CPL map generator 510, i.e. the CPL spatial map. The CPL spatial map may include noise due to processing of a single pulse burst for each measurement location. Noise may also be introduced into the CPL spatial map by interference due to spectral surface reflectivity fluctuations. Spatial filter 512 processes the CPL spatial map to reduce signal fluctuations due to the spectral surface reflectivity and clutter. In an exemplary embodiment, spatial filter subsystem 512 uses a Gaussian smoothing operator (a two-dimensional convolution operator). Other smoothing filters may also be used.
System 500 may include a layer data applicator 514 which receives the output from spatial filter subsystem 512 and applies ancillary data to augment the CPL map. The ancillary data may include digital photography, land use maps, pipeline location information, pipeline access information, and population information. The ancillary information may be stored in pipeline positional database 316 (
Noise reduction subsystem 604 receives the output from calibration/correction subsystem 602 and applies an average or other type of filter to remove salt-pepper (spike) or other type noise from the data.
Pulse finder 606 receives the output from noise reduction subsystem 604 and determines the location of each of the pulses in the pulse burst. For example, pulse locations within the pulse burst shown in
Pulse energy integrator 608 receives the output from pulse finder 606 and calculates the total energy in each located pulse. As shown in
Pulse energy normalizer 610 receives the pulse energy associated with the N+1 pulses, including the off-line pulse, and normalizes the energies relative to the transmitted pulses. Pulse energy normalizer 610 retrieves output pulse burst energies from database 612 corresponding to each of the received N+1 pulse energies. The transmitted pulse energies are computed and stored in database 612 by output energy monitoring system (part of line-lock amplifiers 275, 210, 265, etc., and 211 (
where R represents the received pulse energy, T represents the transmitted pulse energy and n represents the corresponding pulse from among the N+1 pulses. The output of pulse energy normalizer 610 is provided to CPL processor 620.
Ck estimator 614 estimates differences in atmospheric concentration Ck. Ck estimator 614 also corrects for variations in Cρ using Cρ corrector 626 by determining a region of like reflectivity (ROLR) proximate to pulse burst location i. The ROLRs for a survey area are estimated from the return energy statistics, including a covariance between the return wavelengths, i.e. (λ0, λ1, . . . , λN). Ck estimator 614 includes Ck processor 628 which combines Cρ retrieved from Cρ corrector 626 and C′k retrieved from database 618 according to equation (10). Cρ correction and Ck estimation is discussed further below with respect to
CPL processor 620 receives the normalized energies from pulse energy normalizer 610, as well as the estimated and reflectivity corrected Ck from Ck estimator 614. CPL processor 620 also retrieves cross-section measurements, Cσ, from database 616 and Csys and Cfit from database 618. Using equation (8), the normalized energies, Ei, together with Ck, Cσ, Csys and Cfit are used to estimate the CPL, for each on-line wavelength, i.e. target fluid.
The survey area may be classified into reflectivity classes. Database 618 stores surface statistics and class information corresponding to ROLRs from is imagery and/or ground based data. In an exemplary embodiment, C′k is determined during calibration of the system and stored in database 618. Database 618 stores Cfit and Csys which are calibrated from ground-based measurements.
Geolocation estimator 624 retrieves GPS information from database 622 and estimates a geolocation for each measurement location i. GPS information may be provided to database 622 from flight pathfinding and laser pointing system 318 (
In step 710, a decision is made whether all of the scan locations are complete, i.e. whether all of the measurement locations have been accounted for. If the scan locations are complete, step 710 proceeds to step 714. Otherwise, step 710 proceeds to step 712.
In step 712, the measurement location is updated by incrementing a counter. Step 712 branches back to step 702 in order to process the next scan location. This process continues until all data is converted to CPL data points. Each CPL data point for each on-line wavelength represents the amount of a corresponding target fluid present at a specific measurement location.
Referring back to step 706, an exemplary method for estimating the quality factor error is described. Based on a first-order error propagation, a CPL variance may be calculated by:
where σ2 represents a variance, E represents pulse power, the superscripts T and R represents the respective transmitted and return pulses and the subscripts on and off represent the respective on-line and off-line wavelengths.
Because (σ/E)2 is equivalent to 1/SNR, equation (13) may be written as:
where the subscripts and superscripts are the same as for equation 13.
Because
and COVARIANCE_TERMS are relatively very small, the CPL variance at each point can be estimated by:
and the CPL standard deviation, CPLsd, can be estimated by:
In practice CPLsd may be estimated from the transmitted on-line and off-line laser pulse energy, the returned off-line energy, and the measured cross section as shown in equation 15a:
The quality factor (QF) is related to CPLsd by
QF=3×CPLsd<threshold (16)
The QF of equation 16 is compared against a predetermined threshold such that if the QF is larger than the threshold, the CPL estimate is discarded from the CPL map generated in step 714 (described further below with respect to
In step 714, a CPL map is generated, using CPL map generator 510 (
In step 806, a decision is made whether the off-line quality factor is greater than a predetermined off-line threshold of equation (16). If the off-line quality factor is greater than the off-line threshold, step 806 branches to step 810. If the off-line quality factor is less than or equal to the off-line threshold, step 806 branches to step 808.
In step 810, the CPL estimate is discarded for that measurement location. Step 810 then branches to step 816.
In step 808, a decision is made whether the on-line quality factor is greater than a predetermined on-line threshold. In an exemplary embodiment, each of the on-line quality factors for the N on-line wavelengths are compared to the on-line threshold. If the on-line quality factor is less than or equal to the on-line threshold, step 808 branches to step 812. If, on the other hand, the on-line quality factor is greater than the on-line threshold, step 808 branches to step 810, and the CPL estimate is discarded for that measurement location. Step 810 then branches to step 816.
In step 812, the CPL estimate is mapped to latitude and longitude using the geolocation obtained in step 704 (
In step 816, a decision is made whether all of the scan locations are complete, i.e. whether all of the measurement locations are accounted for. If the scan locations are complete, step 816 proceeds to step 820 and the process is complete. Otherwise, step 816 proceeds to step 818. In step 818 the measurement location is updated by incrementing a counter. Step 818 proceeds to step 802 and continues the method. This method is repeated until all the geolocated CPL estimates are mapped as a CPL spatial map.
It is contemplated that the off-line threshold and the on-line threshold may be set to different levels, to account for the low energy on-line returns compared to the off-line returns. It is further contemplated that a different on-line threshold may be applied for each expected target fluid if the target fluid returns are known to exhibit various levels of return energy.
Referring back to
In alternate step 718, ancillary layer data may be applied to the spatially filtered CPL map, using layer data applicator 514. In step 720, a target fluid map, formed by the spatially filtered CPL map, in step 716, or by ancillary layer data stored in database 516 (
It is contemplated that steps 900 and 902 may be performed for each measurement location and stored in database 502 for further CPL estimation. Thus, processing of step 704 begins with calibrated/corrected and noise reduced pulse bursts, associated with location i.
In step 904, pulse locations for each pulse in the received pulse burst are determined, for example, using pulse finder 606 (
In step 910, cross-section measurements, Cσ, are retrieved, from database 616 (
In step 920, the geolocation associated with each estimated CPL is determined using geolocation estimator 624 (
In step 1000, a predetermined number of received pulse bursts for the survey area are selected. In step 1002, the return energies for the on-line and off-line returns are measured. As shown by equation (1), the return energy E(λ,t) is proportional to ρ(λ). The statistics of the reflectivity can thus be inferred by observing the change in the return energies for a ROLR.
The received energy, Equation (1), may be converted to signal electrons at the detector as:
where Xij represents the discrete received energy for measurement location i and wavelength j, g represents the gain of the receiver, g′ represents gain of the power monitor, η represents receiver quantum efficiency, η′ represents power monitor quantum efficiency, b is a normalization factor used to match the magnitude of the received and power monitor energies, rd represents the detector integration time, Aσ is a parameter that describes the optical system, Tair2 represents the two-way transmission through the atmosphere, and nij represents an added noise term. As in equation (1), RT represents the range or distance to the surface, τj and ξ(RT) represent the spectral response of the optical system and the receiver/laser geometric form factor and ρj represents reflectivity at wavelength j.
In step 1004, return energy statistics are determined from equation (17). In an exemplary embodiment, the return energy statistics include a mean and covariance that are determined using the received pulse bursts. Equation 17 represents the return energy divided by the measured outgoing energy per pulse.
Equation (17) can generally be represented by:
Xij=Gj+nij (18)
where Gj represents a non-fluctuating portion and nij represents a fluctuating portion of the signal.
The mean, Ĝj, may be estimated by:
where M represents a total number of measurement points.
The covariance, {circumflex over (Λ)}ij, may be estimated by:
The estimated covariance of equation (20) uses computations between target fluid wavelengths where j and j′ represent target fluid wavelengths including j≠j′.
In step 1006, the ROLR's are estimated using the covariance of equation (20). In an exemplary embodiment, the region boundaries may be directly determined from equation (20) by grouping regions of similar covariance. In an alternate embodiment, a maximum likelihood estimator may be used estimate ROLR boundaries.
In step 1008, Cρ is estimated for each ROLR. In an exemplary embodiment, Cρ is estimated by normalizing the associated mean of the reflectivity for each on-line wavelength by the mean of the reflectivity for the off-line wavelength as:
In an alternate embodiment, where a maximum likelihood estimator is used, Cρ is estimated according to equation (21a) as:
where i and j both represent the on-line and off-line wavelengths and i≠j. For example, for three wavelengths (such as two on-line and one off-line wavelength), six ratios are estimated.
In step 1010, the ROLRs and associated Cρ's for each on-line wavelength are stored in Cρ corrector 626, such as in a look up table (LUT).
In step 1016, Ck′ is retrieved from database 618 and, as discussed above, is typically determined during system calibration. In step 1018, Ck is then processed, for example using Ck processor 628, according to equation (10) by combining Ck′ and Cρ for the respective target fluid wavelengths.
Although the invention has been described as apparatus and a method, it is contemplated that it may be practiced by a computer configured to perform the method or by computer program instructions embodied in a computer-readable carrier such as an integrated circuit, a memory card, a magnetic or optical disk or an audio-frequency, radio-frequency or optical carrier wave.
Although the invention is illustrated and described herein with reference to specific embodiments, the invention is not intended to be limited to the details shown. Rather, various modifications may be made in the details within the scope and range of equivalents of the claims and without departing from the invention.
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