The invention generally relates to a system and technique to remove perturbation noise from seismic sensor data.
Seismic exploration involves surveying subterranean geological formations for hydrocarbon deposits. A survey typically involves deploying seismic source(s) and seismic sensors at predetermined locations. The sources generate seismic waves, which propagate into the geological formations creating pressure changes and vibrations along their way. Changes in elastic properties of the geological formation scatter the seismic waves, changing their direction of propagation and other properties. Part of the energy emitted by the sources reaches the seismic sensors. Some seismic sensors are sensitive to pressure changes (hydrophones), others to particle motion (e.g., geophones), and industrial surveys may deploy only one type of sensors or both. In response to the detected seismic events, the sensors generate electrical signals to produce seismic data. Analysis of the seismic data can then indicate the presence or absence of probable locations of hydrocarbon deposits.
Some surveys are known as “marine” surveys because they are conducted in marine environments. However, “marine” surveys may be conducted not only in saltwater environments, but also in fresh and brackish waters. In one type of marine survey, called a “towed-array” survey, an array of seismic sensor-containing streamers and sources is towed behind a survey vessel.
In an embodiment of the invention, a technique includes obtaining a noise measurement, which is acquired by a seismic sensor while in tow. Based on the noise measurement, a compensation for at least one of an alignment of the sensor and a calibration of the sensor sensitivity is determined.
In another embodiment of the invention, a technique includes obtaining a particle motion measurement acquired by a seismic sensor while in tow. The particle motion measurement is processed to remove perturbation noise based on a noise measurement acquired by the sensor while in tow.
In another embodiment of the invention, a system includes an interface to receive particle motion data acquired by a seismic sensor while in tow. A processor of the system processes the particle motion data to remove perturbation noise based on calibration factors derived from a noise record acquired by towing the sensor without activating a seismic source.
Advantages and other features of the invention will become apparent from the following drawing, description and claims.
Each seismic streamer 30 contains seismic sensors, which record seismic signals. In accordance with some embodiments of the invention, the seismic sensors are multi-component seismic sensors 58, each of which is capable of detecting a pressure wave field and at least one component of a particle motion that is associated with acoustic signals that are proximate to the multi-component seismic sensor 58. Examples of particle motions include one or more components of a particle displacement, one or more components (inline (x), crossline (y) and vertical (z) components, for example) of a particle velocity and one or more components of a particle acceleration.
Depending on the particular embodiment of the invention, the multi-component seismic sensor 58 may include one or more hydrophones, geophones, particle displacement sensors, particle velocity sensors, accelerometers, or combinations thereof.
For example, in accordance with some embodiments of the invention, a particular multi-component seismic sensor 58 may include a hydrophone 55 for measuring pressure and three orthogonally-aligned accelerometers 50 to measure three corresponding orthogonal components of particle velocity and/or acceleration near the seismic sensor 58. It is noted that the multi-component seismic sensor 58 may be implemented as a single device (as depicted in
The marine seismic data acquisition system 10 includes one or more seismic sources 40 (one exemplary source 40 being depicted in
As the seismic streamers 30 are towed behind the survey vessel 20, acoustic signals 42 (an exemplary acoustic signal 42 being depicted in
The incident acoustic signals 42 that are acquired by the sources 40 produce corresponding reflected acoustic signals, or pressure waves 60, which are sensed by the multi-component seismic sensors 58. It is noted that the pressure waves that are received and sensed by the multi-component seismic sensors 58 include “up going” pressure waves that propagate to the sensors 58 without reflection, as well as “down going” pressure waves that are produced by reflections of the pressure waves 60 from an air-water boundary 31.
The multi-component seismic sensors 58 generate signals (digital signals, for example), called “traces,” which indicate the detected pressure waves. The traces are recorded and may be at least partially processed by a signal processing unit 23 that is deployed on the survey vessel 20, in accordance with some embodiments of the invention. For example, a particular multi-component seismic sensor 58 may provide a trace, which corresponds to a measure of a pressure wave field by its hydrophone 55; and the sensor 58 may provide one or more traces that correspond to one or more components of particle motion, which are measured by its accelerometers 50.
The goal of the seismic acquisition is to build up an image of a survey area for purposes of identifying subterranean geological formations, such as the exemplary geological formation 65. Subsequent analysis of the representation may reveal probable locations of hydrocarbon deposits in subterranean geological formations. Depending on the particular embodiment of the invention, portions of the analysis of the representation may be performed on the seismic survey vessel 20, such as by the signal processing unit 23. In accordance with other embodiments of the invention, the representation may be processed by a seismic data processing system (such as an exemplary seismic data processing system 320 that is depicted in
The down going pressure waves create an interference known as “ghost” in the art. Depending on the incidence angle of the up going wave field and the depth of the streamer cable, the interference between the up going and down going wave fields creates nulls, or notches, in the recorded spectrum. These notches may reduce the useful bandwidth of the spectrum and may limit the possibility of towing the streamers 30 in relatively deep water (water greater than 20 meters (m), for example).
The technique of decomposing the recorded wave field into up and down going components is often referred to as wave field separation, or “deghosting.” The particle motion data that is provided by the multi-component seismic sensor 58 allows the recovery of “ghost” free data, which means the data that is indicative of the up going wave field.
The particle motion data contains the desired signal, along with vibration noise. Because the vibration noise and the seismic signal have different apparent velocities of propagation, this difference allows the vibration noise to be disseminated from the seismic recordings for a large portion of the frequency band of interest. The efficiency of the noise removal process typically is very high for particle motion sensors that are perfectly calibrated (i.e., the sensors have the same sensitivity) and perfectly aligned (i.e., the sensors have the same alignment with respect to the streamer axis). However, perturbations in the calibration and/or alignment give rise to perturbation errors, or perturbation noise, which may adversely affect the noise removal performance. Perturbation noise may be caused by sensitivity differences between the particle motion sensors, misalignments between the sensors' axes and the streamer's axis, variations in the sensor spacing, etc.
Referring to
More specifically, a noise record for the particle motion sensor is obtained by towing the sensor in the absence of a seismic signal source (i.e., towing the sensor in the absence of any seismic shots or reflections). The noise record therefore primarily includes vibration noise and perturbation noise and does not include any seismic signal content. Because the vibration noise is coherent in time and space, the vibration noise may be effectively separated in frequency and wavenumber. Due to the separation of the vibration noise, a calibration algorithm may be applied, as described herein, to derive perturbation calibration factors, which characterize the perturbation noise for the sensor.
Thus, based on the noise that is recorded in the absence of a seismic source, perturbation noise calibration factors may be derived for all of the particle motion sensors; and these calibration factors may be used to estimate and remove perturbation noise from particle motion measurements that are acquired by the sensors while being towed with one or more active seismic sources. The removal of the perturbation noise from the particle motion measurements may occur before the particle motion measurements are filtered to remove vibration noise. The calibration factors may be kept constant within a time period in which seismic signals are recorded but may otherwise be updated as desired.
The derivation of the perturbation calibration factors from the noise record is now described in more detail. For purposes of simplifying the description herein, it is assumed that the perturbation noise pertains to amplitude and alignment perturbations for the cross-line (i.e., pertaining to the y axis of
In the presence of perturbation noise, the noise that is recorded by the particle motion sensors (in the absence of an active seismic source) may be described as follows:
where “nyr(f, x)” represents the cross-line component of the recorded noise in the f-x domain; “nzr (f, x)” represents the vertical component of the recorded noise in the f-x domain; “θ(f,x),” one of the calibration factors, represents the frequency dependent misalignment perturbation in radians; and “α(f,x)” and “β(f,x),” the other calibration factors, represent the frequency dependent amplitude perturbations around a nominal value of one. Although the perturbations in this model have been defined as being frequency dependent, it is noted that the perturbations may be frequency independent, in accordance with other embodiments of the invention. Thus, many variations are contemplated and are within the scope of the appended claims.
Assuming that the perturbation noise is relatively small as compared to nominal values, the recorded noise may be approximated as follows:
In terms of perturbation noises called “py(f, x),” which represents the cross-line component of the perturbation noise and “pz(f, x),” which represents the vertical component of the perturbation noise, the recorded noise may be described as follows:
n
yr(f,x)=ny(f,x)+py(f,x), and Eq. 3
n
zr(f,x)=nz(f,x)+pz(f,x). Eq. 4
For this representation, the py(f, x) and pz(f, x) perturbation noise may be described as follows:
p
y(f,x)=α(f,x)ny(f,x)+θ(f,x)nz(f,x), and Eq. 5
p
z(f,x)=β(f,x)nz(f,x)+θ(f,x)ny(f,x). Eq. 6
Based on theory and experimental results, it has been discovered (especially for solid and gel-filled streamers) that the vibration noise is highly localized around a frequency-wavenumber dispersion relation, which is set forth below:
where “k” represents the wave number (1/meter (m)); ‘f’ represents the frequency in Hertz (Hz); “T” represents the tension in Neutons (N); “d” represents the diameter of the streamer cable in meters; “E” represents Young's modulus in Pascals (Pa); and “ρ” represents the density of sea water in kilograms (kg)/m3; and “v” represents the propagation speed of the vibration noise. As described below, the relationship that is set forth in Eq. 7 is used to extract the perturbation noise and thus, derive the perturbation noise calibration factors. It should be noted that if the vibration noise does not satisfy the dispersion relation given by Eq. 7, this does not constitute a limitation to the current invention. If the vibration noise has a different frequency-wavenumber relationship for a given acquisition system, the corresponding relationship can be estimated by analysis of the FK spectrum of the recorded vibration noise.
More particularly, the vibration noise record is separated into vibration noise and perturbation noise components using a filter called “H (f, k).” The H (f, k) filter is a frequency-wavenumber f-k) filter in a narrow wavenumber and frequency band centered at (k, f(k)) for each wavenumber k. Because along the (f,k) dispersion relation (Eq. 7) the vibration noise is significantly stronger than the perturbation noise, the following relationships may be defined:
n
y(f,k)≅H(f,k)nyr(f,k), Eq. 8
n
z(f,k)≅H(f,k)nzr(f,k), Eq. 9
p
y(f,k)≅(1−H(f,k))nyr(f,k), and Eq. 10
p
z(f,k)≅(1−H(f,k))nzr(f,k) Eq. 11
where the f-k domain variables are computed by applying Fourier transformation to the f-x domain variables along the space dimension (x).
Because the cross-line (y) and vertical (z) vibration noise components are statistically independent, the α(f,x), β(f,x) and θ(f,x) calibration factors may be estimated by using the projection theorem as follows:
where “” represents the statistical expectation operator. Note that in applications, where a single realization of the noise measurement is available, the statistical averages can be approximated as by using the measured noise realization. To given as an example, py(f,x),ny(f,x))py(f,x)n*y(f,x), where “*” denotes complex conjugation. Furthermore, if the calibration factors are frequency independent, the statistical average can be approximated by frequency averages. To give as an example, py(x), ny(x))∫w(f)py(f,x)n*y(f,x)df, where w(f) is a smoothing function to mitigate the edge effects during integration.
For purposes of illustrating the perturbation noise compensation techniques that are disclosed herein,
For purposes of example, if amplitude and rotation angle perturbations with standard deviations of 0.02 (around the nominal value) and one degree, respectively, are introduced to the vibration noise that is depicted in
Although not depicted in
Because the perturbation noise calibration factors are frequency independent in this example (in accordance with some embodiments of the invention), the calibration factors may be derived from any frequency where relatively low acoustic noise levels are expected. As an example, the H (f, k) filter may be selected to have a pass band of 19-20 Hz in frequency and 0.39-0.53 1/m in wavenumber. The application of the H(f, k) filter on the recorded noise yields estimates of the ny(, x) and nz(f,x) noise, pursuant to Equations 8 and 9. Pursuant to Equations 10 and 11, the application of a filter described by 1−H(f,k) produces estimates of the respective components py(f,x) and pz(f,x) of the perturbation noise.
As a more specific example,
Equations 12, 13 and 14 may be applied, based on the estimated vibration and perturbation noise, to derive the α(f,x), β(f,x) and θ(f,x) perturbation noise calibration factors. Perturbation noise may therefore be removed from particle motion measurements based on these factors.
To summarize,
Referring to
As examples, the interface 360 may be a USB serial bus interface, a network interface, a removable media (such as a flash card, CD-ROM, etc.) interface or a magnetic storage interface (IDE or SCSI interfaces, as examples). Thus, the interface 360 may take on numerous forms, depending on the particular embodiment of the invention.
In accordance with some embodiments of the invention, the interface 360 may be coupled to a memory 340 of the seismic data processing system 320 and may store, for example, various data sets involved with the techniques 10 and 100, as indicated by reference numeral 348. These data sets may include one or more of the following (as non-limiting examples), depending on the state of the seismic data processing: raw particle motion data; particle motion data that has been processed to remove perturbation noise; particle motion data that has been processed to remove perturbation noise; vibration noise data recorded without an active seismic signal source; vibration noise estimates; perturbation noise estimates; and perturbation noise calibration factors. The memory 340 may store program instructions 344, which when executed by the processor 350, may cause the processor 350 to perform one or more of the techniques that are disclosed herein, such as the techniques 10 and 100, for example.
While the present invention has been described with respect to a limited number of embodiments, those skilled in the art, having the benefit of this disclosure, will appreciate numerous modifications and variations therefrom. It is intended that the appended claims cover all such modifications and variations as fall within the true spirit and scope of this present invention.