Premigration deghosting for marine streamer data using a bootstrap approach in Tau-P domain
10324208 ยท 2019-06-18
Assignee
Inventors
- Ping Wang (Sugar Land, TX, US)
- Suryadeep Ray (Houston, TX, US)
- Can PENG (Fulshear, TX, US)
- Yunfeng Li (Sugar Land, TX, US)
Cpc classification
International classification
Abstract
Methods and systems for optimized receiver-based ghost filter generation are described. The optimized ghost filter self-determines its parameters based on an iterative calculation of recorded data transformed from a time-space domain to a Tau-P domain. An initial ghost filter prediction is made based on generating mirror data from the recorded data and using a least squares technique during a premigration stage.
Claims
1. A method for seismic exploration, said method comprising: obtaining seismic data recorded by receivers towed underwater that detect seismic excitations emerging from a geophysical formation under a seafloor; generating mirror data from said seismic data; transforming said seismic data and said mirror data into Tau-P domain seismic data; dividing said Tau-P domain seismic data into a plurality of data windows; generating a ghost delay time for each of said plurality of data windows; generating deghosted seismic data based on said ghost delay time, so as said deghosted seismic data with a spectra substantially free of frequency depletions occurring in said seismic data due to receiver-side ghosts; generating an image of the geophysical formation based on the deghosted seismic data, the image showing geological structures to evaluate presence and location of oil and/or gas reservoirs.
2. The method of claim 1, wherein said generating mirror data is based on a one-dimensional ray-tracing technique.
3. The method of claim 2, wherein said one-dimensional ray tracing technique is associated with a moveout correction.
4. The method of claim 1, wherein said ghost delay time is based on receiver depth, water velocity and slowness.
5. The method of claim 4, wherein a y-component of said slowness is zero.
6. The method of claim 4, wherein f-p domain primaries associated with said slowness are inverted by a least squares technique.
7. The method of claim 1, wherein associated events of said plurality of data windows have a similar ghost delay time.
8. The method of claim 7, wherein said similar ghost delay time is less than an inverse of four times the maximum frequency of said seismic data.
9. The method of claim 1, wherein said seismic data has a constant depth profile.
10. The method of claim 1, wherein said seismic data has a variable depth profile.
11. The method of claim 1, wherein said seismic data is two-dimensional data.
12. The method of claim 1, wherein said seismic data is three-dimensional data.
13. The method of claim 6, wherein a reghosting operator associated with said f-p domain primaries is defined as 1e.sup.i2fT.sup.
14. The method of claim 6, wherein an inverse Tau-P transform operator associated with said f-p domain primaries is defined as e.sup.i2f.sup.
15. The method of claim 1, wherein timing differences associated with said generating a ghost delay time are based on receiver depth inaccuracy.
16. A system for seismic exploration, said system comprising: receivers configured to record seismic data representative for reflections and refractions of seismic waves in a geophysical formation under a seafloor; one or more processors configured to execute computer instructions and a memory configured to store said computer instructions wherein said computer instructions further comprise: a mirror data component for generating mirror data of said recorded data; an engine component for transforming said recorded data and said mirror data from a time-space domain to a Tau-P domain, from a Tau-P domain to a frequency-slowness domain, from a frequency-slowness domain to time-space domain and for adding a phase coefficient to correct for time differences between transformed recorded data and transformed mirror data; a ghost filter component for generating a ghost filter based on predicting an initial ghost filter and optimizing said initial ghost filter based on minimizing a ghost filter delay time associated with said transformed recorded data; and an output component for outputting said ghost-free receiver-based seismic data, so as said deghosted seismic data with a spectra substantially free of frequency depletions occurring in said seismic data due to receiver-side ghosts, wherein the one or more processors are further configured to generate an image of the geophysical formation based on the deghosted seismic data and showing geological structures to evaluate presence and location of oil and/or gas reservoirs.
17. The system of claim 16, wherein said ghost filter component further comprises a least squares component for predicting said initial ghost filter.
18. The system of claim 17, wherein said ghost filter component further comprises an iteration component for iterating through said transformed recorded data and minimizing a ghost delay time based on a difference between a ghost filter associated with different iterations.
19. The system of claim 18, wherein said different iterations comprise a current iteration and a previous iteration and said current iteration and said previous iteration are sequential.
20. The system of claim 16, wherein said output component further comprises a map component for generating a map of seismic illumination based on said ghost-free receiver-based seismic data.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) The accompanying drawings, which are incorporated in and constitute a part of the specification, illustrate one or more embodiments and, together with the description, explain these embodiments. In the drawings:
(2)
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DETAILED DESCRIPTION
(8) The following description of the exemplary embodiments refers to the accompanying drawings. The same reference numbers in different drawings identify the same or similar elements. The following detailed description does not limit the invention. Instead, the scope of the invention is defined by the appended claims. Some of the following embodiments are discussed, for simplicity, with regard to the terminology and structure of generating seismic illumination data ghost filters and generating maps of seismic illumination during marine acquisition. However, the embodiments to be discussed next are not limited to these configurations, but may be extended to other arrangements as discussed later.
(9) Reference throughout the specification to one embodiment or an embodiment means that a particular feature, structure or characteristic described in connection with an embodiment is included in at least one embodiment of the subject matter disclosed. Thus, the appearance of the phrases in one embodiment or in an embodiment in various places throughout the specification is not necessarily referring to the same embodiment. Further, the particular features, structures or characteristics may be combined in any suitable manner in one or more embodiments.
(10) According to various embodiments described herein, methods and systems for generating (computing) seismic illumination data ghost filters are presented which, for example, self-determine their parameters for receiver deghosting, associated with a seismic data analysis, and further combine anti-leakage tau-p transforms to better handle large variations of emergence angles. Such methods and systems can, for example, be used in the pre-migration stage of a seismic data analysis and are applicable to a seismic data collection system which has receivers located at various depths without incurring the problems and/or limitations associated with the prior attempts.
(11) In order to provide some context for the subsequent exemplary embodiments related to the collection of seismic data, the removal of receiver ghosts and the generation of seismic illumination maps, consider first a seismic data acquisition process and system as will now be described with respect to
(12)
(13) Thus, as shown in
(14) The signals recorded by seismic receivers 14 vary in time, having energy peaks that may correspond to reflectors between layers. In reality, since the sea floor and the air/water are highly reflective, some of the peaks correspond to multiple reflections or spurious reflections that should be eliminated before the geophysical structure can be correctly imaged. Primary waves suffer only one reflection from an interface between layers of the subsurface (e.g., first reflected signal 24a). Waves other than primary waves are known as multiples. A surface multiple signal 50a shown in
(15) The data collected and recorded by receivers 14 of
(16) In a given time-space window, the recorded two-dimensional shot gather data N(t, x.sub.i) and its mirror data M(t, x.sub.i), with i=1, 2, . . . , n where n is the number of channels, are first transformed to the Tau-P domain and divided into different Tau-P windows. Next in the exemplary embodiment, the Tau-P windowed data is transformed to the f-p domain as N(f,p.sub.x.sup.j) and M(f,p.sub.x.sup.j) with j=1, 2, . . . , m and p.sub.x.sup.j is the j.sup.th slowness in the x direction. Further in the exemplary embodiment, a deterministic deghosting filter can be applied to each slowness trace when slowness in the y direction p.sub.y is zero, e.g., in the two-dimensional case. Accordingly, the ghost-free data P(f,p.sub.x.sup.j) can be defined as:
(17)
where d is the receiver depth and V is the water velocity. Considering a three-dimensional case, the problem becomes further complicated based on 1) P.sub.y may not be zero; and 2) P.sub.y may be different for different events with the same p.sub.x.sup.j. Addressing these issues in the exemplary embodiment requires inverting the ghost-delay times for a Tau-P window with a bootstrap approach rather than using a deterministic deghosting filter. In a first step of the exemplary embodiment, receiver ghost-free data P(f,p.sub.x.sup.j) is determined through a least squares process as:
(18)
where F.sub.N is a ghost filter and F.sub.M is its dual. Using the primary P.sub.0(f,p.sub.x.sup.j) as a starting point, an iterative process is begun using equations (3)-(6). The first step of the iteration begins by obtaining a ghost with the equation:
G.sub.k(f,p.sub.x.sup.j)=N(f,p.sub.x.sup.j)P.sub.k(f,p.sub.x.sup.j),(3)
where k represents the k.sub.th iteration. Continuing with the exemplary embodiment, the ghost delay time T.sub.j.sup.k can be obtained by minimizing the equation:
(19)
Accordingly, the optimal ghost filter can be expressed by the equation:
(20)
and the primary is derived from the equation:
P.sub.k1(f,p.sub.x.sup.j)=F.sub.k+1.sup.1N(f,p.sub.x.sup.j)(6)
where F.sub.k+1 is self-determined, i.e., bootstrapped, from the k.sup.th iteration. Continuing with the exemplary embodiment, after determining the ghost delay times, a least-squares inversion in the f-p domain is performed as described by the matrix:
(21)
where 1e.sup.i2T.sup.
(22)
allowing the final primary P(t,x.sub.i) to be obtained from an inverse Fourier transform.
(23) To illustrate the benefits of ghost removal using a ghost filter as described above, a Tau-P bootstrap algorithm is applied to a two-dimensional set of field data, from the Green Canyon area of the Gulf of Mexico, is depicted in
(24) Looking now to
(25) Presented above are self-sustaining, or bootstrap, deghosting embodiments that can effectively remove, in the premigration stage, the receiver ghost in data from a variety of marine towed streamer configurations. The advantages of the embodiment include but are not limited to 1) works for three-dimensional NAZ and WAZ geometries; and 2) no requirements for accurately-known receiver depths. The embodiments have successfully been applied to a deep-towed streamer dataset with a receiver depth of twenty-seven meters. Based on the receiver deghosting, the migrated images have a broader bandwidth and a higher signal-to-noise ratio, which can be beneficial for the interpretation of geological structures and rock properties.
(26) Although the embodiments use two datasets, one of the datasets is created as mirror data from the recorded data and the embodiments are applicable to all streamer data without the additional acquisition expense. Further, the embodiments do not require normalization between the two datasets prior to deghosting because both datasets are recorded by the same sensor.
(27) As will be appreciated from the foregoing discussion, methods for generating optimized ghost filters and deghosted seismic data according to these embodiments may, at least in part, be implemented in software operating on a suitably programmed computing device. An exemplary implementation, with suitable software modules or components, will now be described with respect to
(28) Continuing with the exemplary embodiment, the engine component 504 provides the capability to transform the recorded data and the mirror data from a time-space (T-X) domain to a Tau-P (tau-p) domain. In another aspect, the engine component 504 generates a phase coefficient to correct for time differences between the transformed recorded data and the transformed mirror data. Continuing with the exemplary embodiment, the engine component 504 provides the capability to compute the frequency-slowness (f-p) domain primaries associated with the recorded data based on reghosted and inverse transformed f-p domain primaries equaling the input data. Next in the exemplary embodiment, the engine component 504 provides the capability to generate the frequency-space (f-x) primaries based on an inverse Tau-P transform of the previously determined f-p primaries. The ghost free time-space primaries can then be generated based on an inverse Fourier transform of the f-x primaries.
(29) Next in the exemplary embodiment, the ghost filter component 506 provides the capability to generate a ghost filter based on predicting an initial ghost filter and optimizing the initial ghost filter by minimizing the ghost filter delay time associated with the transformed recorded data. Next in the exemplary embodiment, the output component 508 provides the capability to apply the optimized ghost filter to the transformed recorded data and output ghost-free receiver based seismic data.
(30) Looking now to
(31) Looking now to
(32) Looking now to
(33) Next, at step 804 of the exemplary method embodiment, the recorded seismic data and the mirror data are transformed to Tau-P domain seismic data. Continuing at step 806 of the method embodiment, the Tau-P domain seismic data is divided into a plurality of data windows. Next at step 808 of the exemplary method embodiment, a ghost delay time for each of the plurality of data windows is generated. Continuing at step 810 of the exemplary embodiment, deghosted seismic data is generated based on the ghost delay time.
(34) The computing device(s) or other network nodes involved in optimized receiver-based ghost filter generation as set forth in the above described embodiments may be any type of computing device capable of processing and communicating seismic data associated with a seismic survey. An example of a representative computing system capable of carrying out operations in accordance with these embodiments is illustrated in
(35) Data storage unit 232 itself can comprise hard disk drive (HDD) 216 (these can include conventional magnetic storage media, but, as is becoming increasingly more prevalent, can include flash drive-type mass storage devices 224, among other types), ROM device(s) 218 (these can include electrically erasable (EE) programmable ROM (EEPROM) devices, ultra-violet erasable PROM devices (UVPROMs), among other types), and random access memory (RAM) devices 220. Usable with USB port 210 is flash drive device 224, and usable with CD/DVD R/W device 212 are CD/DVD disks 234 (which can be both read and write-able). Usable with diskette drive device 214 are floppy diskettes 237. Each of the memory storage devices, or the memory storage media (216, 218, 220, 224, 234, and 237, among other types), can contain parts or components, or in its entirety, executable software programming code (software) 236 that can implement part or all of the portions of the method described herein. Further, processor 208 itself can contain one or different types of memory storage devices (most probably, but not in a limiting manner, RAM memory storage media 220) that can store all or some of the components of software 236.
(36) In addition to the above described components, system 200 also comprises user console 234, which can include keyboard 228, display 226, and mouse 230. All of these components are known to those of ordinary skill in the art, and this description includes all known and future variants of these types of devices. Display 226 can be any type of known display or presentation screen, such as liquid crystal displays (LCDs), light emitting diode displays (LEDs), plasma displays, cathode ray tubes (CRTs), among others. User console 235 can include one or more user interface mechanisms such as a mouse, keyboard, microphone, touch pad, touch screen, voice-recognition system, among other inter-active inter-communicative devices.
(37) User console 234, and its components if separately provided, interface with server 201 via server input/output (I/O) interface 222, which can be an RS232, Ethernet, USB or other type of communications port, or can include all or some of these, and further includes any other type of communications means, presently known or further developed. System 200 can further include communications satellite/global positioning system (GPS) transceiver device 238, to which is electrically connected at least one antenna 240 (according to an exemplary embodiment, there would be at least one GPS receive-only antenna, and at least one separate satellite bi-directional communications antenna). System 200 can access internet 242, either through a hard wired connection, via I/O interface 222 directly, or wirelessly via antenna 240, and transceiver 238.
(38) Server 201 can be coupled to other computing devices, such as those that operate or control the equipment of ship 2, via one or more networks. Server 201 may be part of a larger network configuration as in a global area network (GAN) (e.g., internet 242), which ultimately allows connection to various landlines.
(39) According to a further exemplary embodiment, system 200, being designed for use in seismic exploration, will interface with one or more sources 4a,b and one or more receivers 14. These, as previously described, are attached to streamers 6a,b, to which are also attached birds 13a,b that are useful to maintain positioning. As further previously discussed, sources 4 and receivers 14 can communicate with server 201 either through an electrical cable that is part of streamer 6, or via a wireless system that can communicate via antenna 240 and transceiver 238 (collectively described as communications conduit 246).
(40) According to further exemplary embodiments, user console 235 provides a means for personnel to enter commands and configuration into system 200 (e.g., via a keyboard, buttons, switches, touch screen and/or joy stick). Display device 226 can be used to show: streamer 6 position; visual representations of acquired data; source 4 and receiver 14 status information; survey information; and other information important to the seismic data acquisition process. Source and receiver interface unit 202 can receive the hydrophone seismic data from receiver 14 though streamer communication conduit 248 (discussed above) that can be part of streamer 6, as well as streamer 6 position information from birds 13; the link is bi-directional so that commands can also be sent to birds 13 to maintain proper streamer positioning. Source and receiver interface unit 202 can also communicate bi-directionally with sources 4 through the streamer communication conduit 248 that can be part of streamer 6. Excitation signals, control signals, output signals and status information related to source 4 can be exchanged by streamer communication conduit 248 between system 200 and source 4.
(41) Bus 204 allows a data pathway for items such as: the transfer and storage of data that originate from either the source sensors or streamer receivers; for processor 208 to access stored data contained in data storage unit memory 232; for processor 208 to send information for visual display to display 226; or for the user to send commands to system operating programs/software 236 that might reside in either the processor 208 or the source and receiver interface unit 202.
(42) System 200 can be used to implement the methods described above associated with optimized receiver-based ghost filter generation according to an exemplary embodiment. Hardware, firmware, software or a combination thereof may be used to perform the various steps and operations described herein. According to an exemplary embodiment, software 236 for carrying out the above discussed steps can be stored and distributed on multi-media storage devices such as devices 216, 218, 220, 224, 234, and/or 237 (described above) or other form of media capable of portably storing information (e.g., universal serial bus (USB) flash drive 426). These storage media may be inserted into, and read by, devices such as the CD-ROM drive 414, the disk drive 412, among other types of software storage devices.
(43) It should be noted in the embodiments described herein that these techniques can be applied in either an offline, e.g., at a land-based data processing center or an online manner, i.e., in near real time while onboard the seismic vessel. For example, optimized receiver-based ghost filter generation can occur as the seismic data is recorded onboard the seismic vessel. In this case, it is possible for receiver-based ghost-free data to be generated as a measure of the quality of the sampling run.
(44) The disclosed exemplary embodiments provide a server node, and a method for generating an optimized receiver-based ghost filter associated with seismic data. It should be understood that this description is not intended to limit the invention. On the contrary, the exemplary embodiments are intended to cover alternatives, modifications and equivalents, which are included in the spirit and scope of the invention. Further, in the detailed description of the exemplary embodiments, numerous specific details are set forth in order to provide a comprehensive understanding of the invention. However, one skilled in the art would understand that various embodiments may be practiced without such specific details.
(45) Although the features and elements of the present exemplary embodiments are described in the embodiments in particular combinations, each feature or element can be used alone without the other features and elements of the embodiments or in various combinations with or without other features and elements disclosed herein. The methods or flow charts provided in the present application may be implemented in a computer program, software, or firmware tangibly embodied in a computer-readable storage medium for execution by a general purpose computer or a processor.
(46) This written description uses examples of the subject matter disclosed to enable any person skilled in the art to practice the same, including making and using any devices or systems and performing any incorporated methods. The patentable scope of the subject matter is defined by the claims, and may include other examples that occur to those skilled in the art. Such other examples are intended to be within the scope of the claims.