Spatial sampling improvements and the formation of arrays using popcorn and simultaneous source acquisition
09841520 · 2017-12-12
Assignee
Inventors
Cpc classification
G01V1/28
PHYSICS
G01V1/005
PHYSICS
International classification
Abstract
So-called “Popcorn shooting”, and especially continuous Popcorn shooting, combined with simultaneous source shooting allows considerable flexibility in producing high-resolution data and in creating source arrays. Using a combination of simultaneous source de-blending and Popcorn reconstruction it is possible to construct using post acquisition processing arrays of any desired length by constructing a popcorn pattern that takes into account the vessel speed and physical arrangement of guns behind the towing vessel.
Claims
1. A method of seismic exploration above a region of the subsurface of the earth containing structural or stratigraphic features conducive to the presence, migration, or accumulation of hydrocarbons, wherein is provided a seismic array towed proximate to the region of the subsurface of the earth, said seismic array comprising a plurality of marine seismic sources organized into a plurality of subarrays, each of said subarrays having one or more of said marine seismic sources associated therewith, the method comprising: (a) providing a different shooting schedule for each of said plurality of subarrays; (b) recording seismic data as each of said plurality of subarrays is activated according to said provided shooting schedule; (c) choosing a shot point interval as a post-acquisition processing parameter, wherein the shot point interval is utilized to generate a post-acquisition shot point array approximately a length of the shot point interval, wherein the shot point array corresponds to the marine seismic sources activated during the chosen shot point interval; (d) identifying any seismic traces within said recorded seismic data corresponding to said chosen shot point interval; (e) reconstructing said any identified seismic traces into a plurality of seismic data traces by solving a system of equations represented by
d=Am, where m is said plurality of seismic data traces, d is said any identified seismic traces, and A, is a set of Popcorn signatures corresponding to said shooting schedule; and, (f) using said plurality of seismic data traces to image at least a portion of the subsurface of the earth.
2. The method of claim 1, wherein at least one of said plurality of subarrays comprises a single one of said plurality of marine seismic sources.
3. The method of claim 1, wherein said each of said marine seismic sources is selected from the group consisting of an air gun, a water gun, a sparker, a boomer, a chip system, and a water siren.
4. A method of seismic exploration above a region of the subsurface of the earth containing structural or stratigraphic features conducive to the presence, migration, or accumulation of hydrocarbons, wherein is provided a marine seismic array towed proximate to the region of the subsurface of the earth, said marine seismic array comprising a plurality of marine seismic sources organized into two or more subarrays, each of said subarrays having one or more of said marine seismic sources associated therewith, the method comprising: (a) towing said marine seismic array to a location proximate to the region of the subsurface of the earth; (b) determining a distance of each of said subarrays to said marine craft; (c) while said marine craft is moving, sequentially activating each of said subarrays in turn according to its said determined distance from said marine craft beginning with a most distant one of said plurality of subarrays; (d) recording seismic data while said each of said subarrays is activated; (e) reconstructing a plurality of seismic traces from said recorded seismic data by separating individual activations of each of said subarrays and creating post-acquisition arrays from the individual activations as a post-acquisition processing parameter; and, (f) using said plurality of seismic traces to image at least a portion of the subsurface of the earth.
5. The method of claim 4, wherein at least one of said plurality of subarrays comprises a single one of said plurality of marine seismic sources.
6. The method according to claim 4, wherein said each of said marine seismic sources is selected from the group consisting of an air gun, a water gun, a sparker, a boomer, a chip system, and a water siren.
7. The method of claim 4, wherein step (e) is performed by solving:
d=Am, where m is said plurality of seismic traces, d is said recorded seismic data, and A, is a set of Popcorn signatures.
8. The method of claim 4, wherein step (e) is performed by solving:
d=ACm. where m is said plurality of seismic traces, d is said recorded seismic data, A, is a set of Popcorn signature, and C is a matrix of coherency conditions.
9. The method of claim 4, wherein creating post-acquisition arrays from the individual activations is performed utilizing simple summations, weighted summations, or by beam-steering the individual activations.
10. A method of seismic exploration above a region of the subsurface of the earth containing structural or stratigraphic features conducive to the presence, migration, or accumulation of hydrocarbons, wherein is provided a marine seismic array towed proximate to the region of the subsurface of the earth, said marine seismic array comprising a plurality of marine seismic sources organized into two or more subarrays, each of said subarrays having one or more of said marine seismic sources associated therewith, the method comprising: (a) positioning said marine seismic array so that a first one of said plurality of subarrays is proximate to a location above the region of the earth; (b) activating said first one of said plurality of subarrays proximate to said location; (c) after said first one of said plurality of subarrays is activated, towing said marine seismic array until a second one of said plurality of subarrays is proximate to said location; (d) activating said second one of said plurality of subarrays proximate to said location; (e) performing steps (c) and (d) for at least two different ones of said plurality of subarrays; (f) recording seismic data sourced from activation of said first one of said plurality of subarrays and from activation of any of said second ones of said plurality of subarrays activated proximate to said location; (g) reconstructing a plurality of seismic traces from said recorded seismic data by separating individual activations of each of said plurality of subarrays and creating post-acquisition arrays from the individual activations as a post-acquisition processing parameter; and, (h) using said plurality of seismic traces to image at least a portion of the subsurface of the earth.
11. The method according to claim 10, wherein at least one of said plurality of subarrays comprises a single one of said plurality of marine seismic sources.
12. The method of claim 10, wherein said each of said marine seismic sources is selected from the group consisting of an air gun, a water gun, a sparker, a boomer, a chip system, and a water siren.
13. The method of claim 10, wherein step (g) is performed by solving:
d=Am, where m is said plurality of seismic traces, d is said recorded seismic data, and A, is a set of Popcorn signatures.
14. The method of claim 10, wherein step (g) is performed by solving:
d=ACm. where m is said plurality of seismic traces, d is said recorded seismic data, A, is a set of Popcorn signature, and C is a matrix of coherency conditions.
15. A method of seismic exploration for hydrocarbons within a region of the subsurface of the earth, the method comprising: (a) accessing a plurality of reconstructed seismic traces from a seismic survey collected proximate to the region of the subsurface of the earth according to an acquisition method comprising: (1) towing said marine seismic array to a location proximate to the region of the subsurface of the earth; (2) determining a distance of each of said subarrays to said marine craft; (3) while said marine craft is moving, sequentially activating each of said subarrays in turn according to its said determined distance from said marine craft beginning with a most distant one of said plurality of subarrays; (4) recording seismic data while said each of said subarrays is activated; and, (5) reconstructing a plurality of seismic traces from said recorded seismic data by separating individual activations of each of said subarrays and creating post-acquisition arrays from the individual activations as a post-acquisition processing parameter; and, (b) using said plurality of reconstructed seismic traces to image at least a portion of the subsurface of the earth, thereby exploring for hydrocarbons within the region of the subsurface of the earth.
16. A seismic exploration system comprising: a seismic array towed proximate to the region of the subsurface of the earth, said seismic array comprising a plurality of marine seismic sources organized into a plurality of subarrays, each of said subarrays having one or more of said marine seismic sources associated therewith; a first computing system configured to provide a different shooting schedule for each of said plurality of subarrays; a plurality of receivers configured to record seismic data as each of said plurality of subarrays is activated according to said provided shooting schedule; a second computing system configured to: identify any seismic traces within said recorded seismic data corresponding to a chosen shot point interval, wherein the chosen shot point interval comprises a post-acquisition processing parameter and is utilized to generate a post-acquisition shot point array approximately a length of the shot point interval, wherein the post-acquisition shot point array corresponds to marine seismic sources of the plurality of marine seismic sources activated during the chosen shot point interval; reconstruct said any identified seismic traces into a plurality of seismic data traces by solving a system of equations represented by
d=Am, where m is said plurality of seismic data traces, d is said any identified seismic traces, and A, is a set of Popcorn signatures corresponding to said shooting schedule; and, image at least a portion of the subsurface of the earth using said plurality of seismic data traces.
17. The seismic exploration system of claim 16, wherein at least one of said plurality of subarrays comprises a single one of said plurality of marine seismic sources.
18. The seismic exploration system of claim 16, wherein said each of said marine seismic sources is selected from the group consisting of an air gun, a water gun, a sparker, a boomer, a chip system, and a water siren.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) Other objects and advantages will become apparent upon reading the following detailed description and upon reference to the drawings in which:
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DETAILED DESCRIPTION
(12) While the teachings that follow are susceptible of embodiment in many different forms, there is shown in the drawings, and will herein be described hereinafter in detail, some specific embodiments. It should be understood, however, that the present disclosure is to be considered an exemplification of the principles taught herein and is not intended to limit the claims to the specific embodiments or algorithms so described.
Embodiments
(13) According to an embodiment, there is provided a method of marine seismic acquisition that allows more seismic sources to be utilized than would otherwise be possible in a conventional/single sub-array configuration. It should be noted that additional descriptions of some aspects of an embodiment may be obtained by reference to U.S. patent application Ser. No. 13/315,947, US 2012/0147701 A2, the “Popcorn patent application”, the disclosure of which is incorporated by reference herein as if fully set out at this point.
(14) Popcorn shooting has many advantages, but one of particular interest for purposes of this disclosure is that it may be used to control or shape the spatial sampling of seismic data. This sampling may be improved with the use of simultaneous source acquisition, or with the use of the combination of simultaneous source acquisition and Popcorn technology. With this improved resolution comes a new flexibility in designing and creating source arrays.
(15) Self-simultaneous sourcing is a method of increasing the shot spatial sampling density of a seismic survey without slowing down the speed of the shooting boat. A typical self-simultaneous shooting example would be shooting at half the time interval of a conventional survey, where each shot is comprised of some number of sources filed simultaneously. This will cause the shot records to overlap each other in time which is generally avoided in seismic acquisition. However, overlapping shots can then separated during subsequent processing according to methods well known to those of ordinary skill in the art (e.g., by using inversion or, more specifically, in some embodiments by sparse inversion).
(16) Popcorn shooting, the practice of shooting individual air guns within an array over a period of time instead of the conventional simultaneous firing of multiple guns, may be considered as an extreme form of self-simultaneous shooting. One application of Popcorn shooting is continuous Popcorn, that is, the continuous firing of air guns while the boat is moving. Processing continuous Popcorn in some embodiments involves choosing a shot point interval, collecting all of the seismic traces that record air gun firings that occurred at surface locations defined by the chosen shot point interval, and separating the collected traces that contain overlapping shots using a combination of Popcorn reconstruction and shot separation by inversion as described in the first shot separation by inversion U.S. Pat. No. 8,559,270, the disclosure of which is incorporated herein by reference as if fully set out at this point.
(17) Note that in the Popcorn processing sequence for continuous Popcorn shooting there may likely be no natural shot point interval. Since source activations in some Popcorn embodiments are continuously (and even randomly) occurring, source activations will not likely be situated at regularly spaced surface locations, as is the case with conventional seismic acquisition. As a consequence, in this embodiment the shot point interval is a processing parameter, which may be varied as needed. For example, the shot point interval may be set to a small value for shallow, high-resolution surveys where the small shot interval is needed. For deeper targets, the shot point interval may be set to a large value to allow more air guns to contribute to each effective shot. The smallest shot point interval may be set to something that is less than a typical interval between air gun firing positions since the shot separation by inversion method can interpolate shots as needed. In each of these cases, seismic traces that record source activations at the chosen locations will be identified, separated from overlapping shots (if needed), and then used in subsequent processing as is described more fully below.
(18) The method above creates shot arrays that are approximately the length of the shot point interval desired. The array length might also be increased by grouping overlapping air gun firings to create the same number of calculated shots with the shots containing individual firings of air guns that are shared between shots.
(19) An alternative to the above method of creating arrays is to separate all the individual air gun firings and then to create arrays from the individual firings. This might be done with simple summations, weighted summations, or by beam-steering the individual traces from each air gun firing. Of course, the limiting case would be to not create arrays, that is, to process the traces from the individual air gun firings. This would provide the best spatial resolution but might allow more noise in the traces that would be otherwise reduced by forming arrays.
(20) Since in this embodiment the shot point interval is now a post-acquisition processing parameter rather than an acquisition-set value, optimal shot point intervals may be chosen for various purposes. That is, conventionally the shot point interval is a pre-acquisition design decision that controls the collection of seismic data in the field, whereas in this embodiment the shot point interval can be specified for processing purposes post-acquisition which means that parameter may be chosen to be different values depending, as an example, on the subsurface target that is to be imaged. While typically two processing flows would be used to create seismic images from continuous Popcorn acquisition, one flow for high-resolution shallow images and one flow for deep depth images, it may be imagined that a time-variant processing flow could be used to simultaneously obtain a shallow high-resolution image while also creating images using large arrays to better image the deep section.
(21) This use of Popcorn shooting allows considerable flexibility in creating arrays and controlling resolution and pre-stack noise.
(22) This embodiment frees the desired and ideal array length from the physical dimensions of the array. In an embodiment, if the Popcorn method is used, then each gun is fired separately in a pattern of N seconds and is separated from the signals from overlapping guns by the Popcorn or other inversion/separation method. Thus, in this embodiment each individual gun acts as a point source, regardless of the spatial arrangement of the guns behind the seismic vessel.
(23) The instant approach is configurable in a variety of different ways. Common to each variation, though, is that the individual source activations that overlap will need to be numerically separated. Among the methods that might be used are inversion and, in some embodiments, sparse inversion as those terms are known and used in the seismic processing arts. Among the approaches that might be employed in various embodiments are: 1. The signal from each seismic source in the array can be processed individually to increase spatial sampling density. This approach provides a great deal of flexibility since once the individual guns have been separated, digital array forming may be used to create any desired array, or, in some embodiments, the sources may be maintained as point sources. 2. Each gun can be activated in the same location as a forward gun was activated then later reconstituted as a point and summed source. That is, in this approach it will be possible to make all of the guns in the array fire at the same location by scheduling the firing times to do so. The leading gun in the array/subarray (i.e., the source closest to the towing vessel) can be fired at a particular location and then subsequent sources can be fired as they are towed to that same location. Alternatively, a similar result may be obtained by modifying the firing times slightly so that an array that is shorter than the actual physical array may be constructed. Separation of the overlapping shots can then be done using inversion or a similar technique. 3. A physically short array can be digitally lengthened if the guns on the array are shot back to front. That is, this variation allows a short array to be lengthened by scheduling the firing times of the individual guns to be spread out over a distance that is longer than the physical array. Typically this would involve firing the guns from the back of the physical array to the front, but the length of the constructed array may be more strongly affected by the firing times than the actual location of the air gun on the physical array.
(24) The method discussed in previous paragraphs addresses the in-line shot point interval size. The use of Popcorn shooting may also improve the sampling in other directions. Air guns may be distributed along the cross-line direction and shot with Popcorn patterns. The resulting seismic signals may then be processed to appear as a single shot that has been taken with a large cross-line array or as separate shots with different cross-line positions. Intermediate cross-line samplings may also be formed.
(25) A certain amount of care must be taken in the design of the Popcorn patterns to ensure that the sampling in the in-line or in the cross-line directions allow for effective reconstruction of shots in those directions. For example, the best reconstruction of the shots for a particular sampling will ensure that most of the shots being constructed will have physical shots contributing to them, and the distribution of these shots might best be somewhat uniform over the constructed shots. If one shot spacing is expected, the Popcorn patterns may be designed to provide the best separation of the shots at that spacing.
(26) Turning now to
(27) In the field, seismic data will be collected according to an embodiment (block 120). As is taught herein, individual sources within the array will be activated and recorded pursuant to the survey design 100 while the vessel is in motion. It is anticipated that the vast majority of source activations will over lap (or be overlapped by) one or more activations. In some instances, the receivers will be sensors that are towed behind the source or another vessel. In other cases, the receivers might include ocean bottom receivers instead of (or in addition to) the towed geophone streamers.
(28) Next, and as is conventionally done, some initial processing will be performed to associate each seismic recording with a surface or other location (block 130). This might be done in the field or in the processing center. In either case, a computer system 150, which might be a workstation, a server, a main frame, a parallel computer, a networked collection of computers or workstations, etc.
(29) Next, the individual source activations will be identified and separated according to methods well known to those of ordinary skill in the art (e.g., via sparse inversion). Algorithms that do such a separation will typically be made available to a computer that is to utilize them via access to some amount of local or remote hard disk or other storage (item 140). Additional algorithms useful in the processing of seismic data will be similarly provided to the CPU 150 which might be any conventional or unconventional programmable computing device.
(30) Following identification and separation of the different seismic source recordings, the data will be processed as has been generally discussed above depending on the survey design. In some instances the now-separated source activations might be combined in different ways to produce the same effect as a simultaneous excitation of the array, combined to focus the array to emphasize reflectivity from a particular target (e.g., via beam steering). The resulting data records will be seismic records that are comparable to those conventionally recorded by other methods.
(31) Conventional usage of the separated and possibly recombined shot records might be used in any number of ways. Conventionally, the seismic data will be processed and viewed on a computer display such as that of a workstation 170. Output from the seismic processing may be used to create maps or plots of seismic data and/or seismic attributes 180 according to methods well known to those of ordinary skill in the art.
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(35) In addition to the selection of the seismic array and/or in conjunction with such selection, will be the specification of how the array is to be divided into subarrays. In some embodiments some of the subarrays might consist of a single seismic source. In other embodiments, some subarrays might comprise two or more sources.
(36) Next, a firing schedule will be developed for use with each of the subarrays (block 415). Each firing schedule will apply to each of the one or more sources in each subarray and at least two of such schedules must be different. That is,
(37) As an example, in
(38) The reconstruction of signals from Popcorn acquisition will depend on the air gun patterns used to acquire a Popcorn-type survey. Poorly designed patterns reduce the accuracy of the reconstructions, while well designed patterns improve it. By way of example, a first way of designing a Popcorn-type survey utilizes a Monte-Carlo approach where many random patterns are generated and then checked against a set of criteria to get the best patterns. Another example method would be to design the patterns analytically. Various aspects of approaches for designing firing schedules may be found in co-pending U.S. patent application Ser. No. 13/315,947, and, 61/903,587, the disclosures of which are incorporated by reference herein as if fully set out at this point.
(39) Returning now to
(40) Next, a continuous or intermittent recording will be initiated and each source (or source group) will be activated according to its predetermined schedule (block 425). That being said, continuous recording would generally be favored, although not required. It is anticipated that generally the source activation schedules will cause the signals sourced from different firing schedules to overlap. As such, it is further anticipated that the source activations will need to be separated thereafter using, for example, sparse inversion according to methods well known to those of ordinary skill in the art.
(41) In one embodiment after acquisition, each seismic data record will contain multiple source activations that will need to be separated or otherwise processed as a prerequisite to further seismic processing. For purposes of the instant disclosure, the term “reconstruction” should be understood to mean the processing step(s) necessary to convert traces collected during a Popcorn survey of the sort taught herein into more conventional seismic traces.
(42) In one embodiment the recorded seismic data “d” (which might be, for example, a common offset or common receiver gather) can be related to the desired unblended/reconstructed source activations “m” through the following matrix equation:
d=Am,
where m is, broadly speaking, representative of the seismic data that would have been obtained from a more conventional seismic survey without simultaneous sourcing or Popcorn-type shooting, and where, “A” is a matrix that describes the convolution of the various Popcorn signatures onto m, where a “Popcorn signature” is the composite signature that is formed when the sources in a set are activated according to a specified firing schedule. In other words, each row of A can be thought of as a time-shifted composite source signature. In some embodiments, a coherency condition (“C”) might also be applied (e.g., the shot at one surface location will tend to resemble the shots at proximate locations, etc.):
d=ACm.
(43) Since the matrix A is likely to be underdetermined, in some embodiments an iterative approach could be used to obtain d. One method of solving for d would be as follows;
Set m=0;
Set d.sub.estimated=0
Calculation Loop:
Δd=d−d.sub.estimated
Δm=A.sup.−1Δd
m=m+Δm,
apply coherency filter to m
d.sub.estimated=Am
Recalculate Δd, etc. until the answer is satisfactory. As is indicated above, in an embodiment an FK transform, FX deconvolution, Radon transform, etc., might be used as a coherency filter to attenuate incoherent energy. In some applications, the transform might be applied to a common offset or common receiver gather by taking the FK transform and discarding (e.g., setting to zero) all values below a particular threshold value. Those of ordinary skill in the art will understand that the particular parameter values that control the coherency filter might need to be selected based on experience and/or on a trial and error basis, but selection of same is well within the skill of one who practices in this field. The selection of the coherency processing parameters might depend on quality of the recorded seismic data, the Popcorn patterns utilized, the array size, sources used, etc.
(44) Continuous Popcorn allows the shot spacing to be a processing parameter, but continuous Popcorn may also involve a significant element of simultaneous shooting and subsequent separation of the overlapping source activations (block 430). That being said, in many embodiments self-simultaneous shooting will not be desired and, in such case, the data will not need to be separated and reconstruction can proceed as is discussed supra.
(45) Next, the now-separated source activations will be further processed as has been described previously (block 435) to produce subsurface images.
(46) Finally, the seismic sections, attribute analyses, etc., will be available for use in prospect generation, subsurface interpretation, etc. (block 440).
(47) Turning next to
(48) On the other hand, if the six guns 540 are fired separately and not simultaneously (
(49) Note that the previous observation means that popcorn shots from individual guns could be used to reconstruct a signal comparable to the one that would have been obtained if every source in the array had been activated at the same point on the subsurface. In the arrangement of
(50) In this figure, the same vessel 310 is shown at intervals of 1 second as it moves through the water toward the right hand side of the figure. In this embodiment, each individual source 720 is activated in turn at the same location as it is pulled over that location. The source that is activated is indicated by the arrow 710. Thus, in this figure if the vessel 310 is sailing at 4.86 knots (2.5 m/s) and the inline spacing of the guns 720 is 2.5 m, and the guns are separately shot at 1 second intervals beginning with the forward gun (i.e., the gun closest the towing vessel 310), followed by the second gun, and so on, each of the 6 guns 720 will fired proximate to the same location on the surface of the earth. If the 6 guns' shots are thereafter reconstituted and summed as a single shot, the effective array length is zero, despite the fact that the physical array length in this example is 12.5 m. Similarly, in
(51) On the other hand and turning next to the example of
(52) Turning next to the example of
(53) According to an embodiment, most or all of the guns are not fired simultaneously, but sequentially in patterns that meet various numerical and geophysical criteria. For example, a popcorn pattern may require the guns to be discharged in the order: 2, 9, 16, 1, 10, 14, 6, 8, 12, 17, 7, 16, 4, 11, 15, 13, 5, 3. A pattern may be constructed so that a given gun might be used more than once in a pattern, or not at all although, typically, each gun would be used once each time the pattern was employed. In the popcorn method, the seismic data recorded from the discharged guns can be reconstructed to a single point, such as the geometrical center. Or the seismic data from each individual gun can be positioned at the location of that gun when it was discharged. Or the seismic data from a group or subgroup of guns can be reconstituted, or treated, as a single shot. For example, guns 1-6 could be treated as a single shot; similarly guns 7-12 and 13-18, or guns 1, 7, 13 could be grouped, followed temporally by a group composed of 2, 8, 14, followed temporally be 3, 9, 15, and so on. Or 6, 12, 18 could be followed by 5, 11, 17, etc. Guns can be shot in the location of a previously discharged gun, or not. The patterns can be designed so that the sequence provides an acoustic beam steer in a given azimuth. Therefore, the methods disclosed herein provide great flexibility in choosing the resulting source array lengths and distance between shots (spatial sampling).
(54) Finally, turning next to
(55) Additional details related to the simultaneous source and self-simultaneous source methods may be found in one or more of the following references, the disclosures of which are incorporated herein by reference in their entirety and for all purposes as if fully set out at this point: U.S. patent application Ser. No. 12/542,433, U.S. Patent Application Ser. No. 61/154,613; Separation Of Simultaneous Seismic Sources By Non-Linear Inversion/Abandoned USSN), and U.S. patent application Ser. No. 13/315,925; Distance-And Frequency-Separated Swept-Frequency Seismic Sources).
(56) Further, where reference is made herein to a method comprising two or more defined steps, the defined steps can be carried out in any order or simultaneously (except where context excludes that possibility), and the method can also include one or more other steps which are carried out before any of the defined steps, between two of the defined steps, or after all of the defined steps (except where context excludes that possibility).
(57) Still further, when in this document a range is given as “(a first number) to (a second number)” or “(a first number)−(a second number)”, this means a range whose lower limit is the first number and whose upper limit is the second number. For example, 25 to 100 should be interpreted to mean a range whose lower limit is 25 and whose upper limit is 100. Additionally, it should be noted that where a range is given, every possible subrange or interval within that range is also specifically intended unless the context indicates to the contrary. For example, if the specification indicates a range of 25 to 100 such range is also intended to include subranges such as 26-100, 27-100, etc., 25-99, 25-98, etc., as well as any other possible combination of lower and upper values within the stated range, e.g., 33-47, 60-97, 41-45, 28-96, etc. Note that integer range values have been used in this paragraph for purposes of illustration only and decimal and fractional values (e.g., 46.7-91.3) should also be understood to be intended as possible subrange endpoints unless specifically excluded.
(58) The term “at least” followed by a number is used herein to denote the start of a range beginning with that number (which may be a ranger having an upper limit or no upper limit, depending on the variable being defined). For example, “at least 1” means 1 or more than 1. The term “at most” followed by a number is used herein to denote the end of a range ending with that number (which may be a range having 1 or 0 as its lower limit, or a range having no lower limit, depending upon the variable being defined). For example, “at most 4” means 4 or less than 4, and “at most 40%” means 40% or less than 40%. Terms of approximation (e.g., “about”, “substantially”, “approximately”, etc.) should be interpreted according to their ordinary and customary meanings as used in the associated art unless indicated otherwise. Absent a specific definition and absent ordinary and customary usage in the associated art, such terms should be interpreted to be ±10% of the base value.
(59) It should be noted that in the foregoing, the discussion has been largely couched in terms of conventional marine seismic surveys, but that was done for purposes of illustration only and not out of an intent to limit the disclosure presented herein to only those sorts of surveys. Those of ordinary skill in the art will understand how the embodiments presented supra could readily be applied, by way of example only, to 2D, 3D, 4D, etc., marine surveys, down hole surveys, VSPs, or any combination of same.
(60) Although the instant disclosure might have described the seismic sources as “guns”, “airguns”, etc., that was done only for purpose of illustration and any marine source including, without limitation, air guns, water guns, sparkers, boomers, chirp systems, water sirens, etc., might potentially be used. Additionally, as noted previously aspects of the instant disclosure could be applied on land as well. Further, instances where the term “shot” was used herein should not be construed to limit the instant disclosure to only operating with impulsive sources. Thus, when the term “seismic survey” is used herein that term should be understood to apply to a survey on water, land, or any combination of same unless specifically indicated otherwise.
(61) While this invention is susceptible of embodiment in many different forms, there is shown in the drawings, and is herein described in detail, some specific embodiments. It should be understood, however, that the present disclosure is to be considered an exemplification of the principles of the invention and is not intended to limit it to the specific embodiments or algorithms so described. Those of ordinary skill in the art will be able to make various changes and further modifications, apart from those shown or suggested herein, without departing from the spirit of the inventive concept, the scope of which is to be determined by the following claims.