1. Technical Field
Embodiments of the subject matter disclosed herein generally relate to methods and systems and, more particularly, to mechanisms and techniques for identifying a source mechanism associated with an underground microseismic event.
2. Discussion of the Background
Stimulated fracturing operations are intended to increase the productivity of a hydrocarbon reservoir working well. These operations include injecting a high-pressure fluid into a layer of the subsoil where the reservoir is located. The injection of the fluid produces micro-fractures in the layer. This technique makes it possible to increase the permeability of the reservoir by favoring hydrocarbon circulation via the micro-fractures to the well.
The micro-fractures of the layers are one possible source of microseismic events. Other microseismic events exist and need to be monitored for various reasons, e.g., management of a well. Such microseismic events may include the seismic effects generated in a formation not only by fracturing but also by depletion, flooding, treatment, fault movement, collapse, water breakthrough, compaction or other similar subterranean interventions or effects.
To determine these microseismic events, geologists or geophysicists conventionally record at the surface of the earth waves generated by these events. The waves are recorded as a function of time by one or more receivers.
The seismic sensors are deployed in the vicinity of the reservoir. The conventional way of determining the microseismic events in the explored area is to deploy a few sensors inside the observation well(s) and to monitor the fracturing events. Another way is to deploy seismic sensors at or close to the earth's surface.
However, the known methods do not enable rapid data processing, and are not suitable for real-time subsoil monitoring as discussed next. One known method applies a semblance algorithm to data recorded by a surface receiver array. This algorithm tests all the possible positions of the source within a given volume in the subsurface. For each possible position of the source, the algorithm computes corresponding propagation delays of the direct waves between the source position under investigation and each receiver of the array. Then, the raw data that would be recorded by the array (see
It is noted that the straight alignment of the traces 2 in
A semblance function is used for calculating which of the selected positions corresponds to the actual position of the source. Considering that rj is a sample of the jth trace at a given time and corrected for a given source position, a nominator factor Semb_Nom of the semblance function is defined by:
with Nr being the total number of traces recorded by the receiver array. A denominator factor of the semblance function is considered to be:
and the semblance function is defined as the ratio of the square of the nominator factor and the denominator factor:
The semblance function is calculated repeatedly for various selected positions of the source, and the higher value of this function indicates the real source position. However, this technique has its own limitations.
For example, this technique faces a physical phenomenon called “source mechanism”. The source mechanism (or focal mechanism) of a seismic event describes the inelastic deformation in the source region that generates the seismic waves. Source mechanisms are derived from a solution of the moment tensor for the seismic event, which itself is estimated by an analysis of the observed seismic waveforms. Depending on the source mechanism, the ground displacements measured by the receivers may be only positive (if an explosion occurred in the subsurface), or both positive and negative (for an earthquake), or may have other distributions.
In other words, waves produced by the seismic source may have, in two different directions, different polarizations. For example, the polarization of the wavelets may be inverted as illustrated in
Such a loss becomes more pronounced for a real case that is affected by noise as shown in
This phenomenon and the resulting wavelet-sign inversion is an unresolved problem in the source detection field. Various techniques have been developed to resolve this problem. In some solutions, the semblance algorithm is modified so that only the absolute value of the samples is considered. This solution avoids summing wavelets with opposite signs. However, because the noise-only samples are always positive, the noise level is increased, which is undesirable. The Signal-to-Noise Ratio (SNR) of a receiver of the receiver array (i.e., peak energy compared to noise energy) substantially decreases in this solution.
In an improved technique, one can consider that the polarization has local coherency. Thus, the traces are distributed in N local sub-blocks where the polarization is roughly constant. The sum within each sub-block becomes globally constructive. Then, the final result is computed using the sum of the absolute value of all the sub-blocks. In this case, the noise level is still high as N positive values of noise are summed, but it is less important compared to the preceding solution. This improved solution fails for the case of very noisy records and creates an SNR loss of 3 dB (for a 2-dimensional array) or 6 dB (for a 3-dimensional array).
Another solution is to compute the semblance for each possible position of the sign inversions. This will lead to an accurate final result, but the semblance calculation requires a costly algorithm. For example, in reservoir monitoring, the receiver array size is large and the number of traces is high (several thousand). Thus, the computational cost becomes prohibitive.
Accordingly, it would be desirable to provide systems and methods that avoid the aforedescribed problems and drawbacks.
According to one exemplary embodiment, there is a method for identifying a source mechanism associated with a microseismic event taking place in a subsurface of the earth. The method includes a step of receiving traces associated with a plurality of receivers located in a grid above or below the subsurface; a step of dividing the grid into a set of sub-blocks, each sub-block including one or more receivers of the plurality of receivers; a step of determining, for each sub-block, a corresponding summation element based on traces associated with the corresponding sub-block; a step of identifying a predetermined number of patterns that are associated with plural source mechanisms; a step of calculating in the computing device, for each pattern, a pattern-dedicated semblance function based on summation elements of the sub-blocks; and a step of identifying the source mechanism of the microseismic event based on the semblance function. A pattern includes a first subset of the sub-blocks having positive polarity and a second subset of the sub-blocks having negative polarity, and the first subset together with the second subset form the entire set of sub-blocks.
According to another exemplary method, there is a method implemented in a computing device for identifying a source mechanism associated with a microseismic event taking place in a subsurface of the earth. The method includes a step of receiving traces associated with a plurality of receivers located on a grid above the subsurface; a step of dividing the grid in a set of sub-blocks, each sub-block including one or more receivers of the plurality of receivers; a step of determining, for each sub-block, a corresponding summation element based on traces associated with the corresponding sub-block; a step of identifying a predetermined number of patterns that are associated with plural source mechanisms; a step of multiplying each summation element by a polarization coefficient according to a corresponding pattern; a step of calculating in the computing device, for each pattern, a semblance function based on summation elements of the sub-blocks; and a step of identifying the source mechanism of the microseismic event based on the semblance function. A pattern includes a first subset of the sub-blocks having positive polarity and a second subset of the sub-blocks having negative polarity, and the first subset together with the second subset form the entire set of the sub-blocks.
According to still another exemplary embodiment, there is a computing device configured to identify a source mechanism associated with a microseismic event taking place in a subsurface of the earth. The computing device includes a processor configured to, receive traces associated with a plurality of receivers located on a grid above the subsurface; divide the grid in a set of sub-blocks, each sub-block including one or more receivers of the plurality of receivers; determine, for each sub-block, a corresponding summation element based on traces associated with the corresponding sub-block; receive a predetermined number of patterns that are associated with plural source mechanisms; multiply each summation element by a polarization coefficient according to a corresponding pattern; calculate for each pattern a semblance function based on summation elements of the sub-blocks; and identify the source mechanism of the microseismic event based on the semblance function. A pattern includes a first subset of the sub-blocks having positive polarity and a second subset of the sub-blocks having negative polarity, and the first subset together with the second subset form the entire set of the sub-blocks.
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:
a-c are schematic diagrams of patterns associated with various source mechanisms according to an exemplary embodiment;
a-c are graphs showing peaks calculated in the presence of low noise to determine a source mechanism of a microseismic event;
a-c are graphs showing peaks calculated in the presence of high noise to determine a source mechanism of a microseismic event;
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. The following embodiments are discussed, for simplicity, with regard to microseismic events generated underground. However, the embodiments to be discussed next are not limited to such events, but may be applied to other sources of seismic events.
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.
According to an exemplary embodiment, there is a method that locates microseismic events observed in a subsurface of the earth. The method divides a surface area on which the receivers are located into sub-blocks. For each possible source location, the method applies travel-time delays according to a sub-surface velocity model. Then, it sums delayed traces associated with each block. Sub-blocks of the surface area are associated with wave polarization patterns. Each pattern is associated with one or more source mechanisms. A semblance function is calculated by adding together the sums for each sub-block. Thus, different wave polarization patterns may be tested at a marginal computation cost. The pattern generating the highest peak is selected and indicates the correct source mechanism.
It is noted that the method determines the source mechanism at the detection level of the event while the existing methods first detect the location of the event and then determine the source mechanism. This novel solution can detect and determine the source mechanism even for weak events which are missed by the existing methods due to SNR degradation. Thus, this novel method works in noisy environments and marginally increases the computation cost of the semblance algorithm. The novel method may provide a gain of several dB as discussed next.
Prior to discussing the details of the novel algorithm, a short overview of the hardware involved in such source mechanism identification is believed to be in order. A system 10 for recording and/or determining the positions of the microseismic events is illustrated in
The pumping unit 24 includes a pump 34 configured to inject a high-pressure fracturing fluid 36 into the layer 16 via the injection column 22. The fracturing fluid typically consists of a mixture of a liquid (for example, water) and particles (for example, sand).
The fracturing fluid is discharged from the column 22 via openings 30 created by well casing perforations. The fracturing fluid enters the subsurface layer 16, inducing fracturing of the layer 16, i.e., the appearance of cracks inside the layer 16. The particles contained in the fracturing fluid are forced into the cracks and remain in place in the cracks when the fluid pressure is released, thus forming a permeable network enabling hydrocarbon to flow in the layer 16 to the well 18.
The monitoring device 50 may be separately located from the fracturing device 24 or on the fracturing device 24. The monitoring device may include a network 52 of receivers (e.g., geophones) 54, a recording unit 56 and a processing unit 58. The receiver network 52 includes a plurality of receivers 54 arranged on the soil surface 26 or in the vicinity of this surface. The receivers 54 may be arranged on the nodes of a grid 60 as shown in
The soil movements detected by the receivers 54 are converted into signals (e.g., electric voltages) and they are transmitted to the recording unit 56 to be recorded therein. The recordings obtained represent the raw seismic data. For example, according to an exemplary embodiment, signals ri,j (i indicates a coordinate on the X axis and j indicates a coordinate on the Y axis) are detected by the receivers 54. The signal “r” is a function of the position of the receiver and the time t at which it is recorded.
According to an exemplary embodiment, raw data is collected in step 1200 (see
In step 1204, the surface 76 (see
Thus, it is possible to have 225 possible patterns for the 25 sub-blocks shown in
In step 1206, the time-corrected seismic data of the receivers from each sub-block are summed together. For example, considering sub-block n1, the sum of the traces is given by:
where r1,i is the trace from receiver “i” in the sub-block n1. For the sub-block nk, the sum is given by:
The classical semblance may be calculated by summing the traces for all sub-blocks as shown below:
This is equivalent to computing:
For the traditional summation, 1599 summations are performed. However, for the novel method, 25 sub-blocks each having 64 traces are computed, and the 25 results are summed up together, thus, adding 24 more operations. Thus, there are 25×63+24 operations, which amount to 1599 total operations.
In one application, sub-blocks that are expected to bring mainly noise in the semblance computation (e.g., sub-blocks corresponding to polarity inversion) may be ignored.
More generally, in another application, each element of the semblance can be multiplied by a coefficient for enhancing the algorithm performances. The coefficient may act as a weight and may one or a noise-power based coefficient, apodisation coefficient, etc.
Having the summation elements for each sub-block, the method illustrated in
Pattern—n—Nom=−s1+s2+s3+s4+s5+s6−s7−s8+s9+s10+s11−s12−s13−s14+s15+s16+s17−s18−s19+s20+s21+s22+s23+s24−s25,
which represents the summation of all the sub-blocks. It is noted that each summation element is multiplied by a polarization coefficient (plus or minus one) according to a corresponding pattern.
It is noted that Pattern_n_Nom may be rewritten as:
Pattern—n—Nom=Semb—Nom−2s1−2s7−2s8−2s12−2s13−2s14−2s18−2s19−2s25
which represents only 18 additional summations.
Thus, by deducing a given pattern from another one, it is possible to further decrease the number of summation and, implicitly, the computational cost. As the semblance function's denominator is not affected by the polarization signs of the sub-blocks, n semblances may be calculated corresponding to the n selected patterns. The semblance for a given pattern “n” is given by:
Having calculated the semblance functions for the n considered patterns, the one having the maximum value is selected in step 1212 as identifying the source mechanism for the considered source position. By having fewer than 30 possible patterns, the novel method significantly reduces the computational cost for determining the source mechanism. The patterns may be predetermined by those who analyze the seismic data, for example, based on their experience. Once the patterns are predetermined, they are stored in the memory of the analysis device for later use. Further, it is noted that the steps illustrated in
Results produced by the novel method discussed above are now compared with existing algorithms. Three algorithms for source detection are considered in the presence of a source mechanism. Synthetic data is considered for a 2-dimensional receiver array. A first algorithm uses the classical semblance, the second one is the novel mechanism discussed above, and the third one uses sub-blocks with absolute values (no patterns identified) as discussed in the Background section.
When the noise level is low, the three algorithms correctly identify the location of the source as illustrated in
However, the situation is quite different for a case in which the noise level is high, as illustrated in
Thus, the above examples show that the novel algorithm is capable, even when the noise level is high, to correctly determine the location of the source and the associated source mechanism, and all these features are achieved with a marginal computational cost increase.
The above-noted novel algorithm may be implemented as a method as illustrated in
The methods discussed above may be implemented in dedicated devices (e.g., dedicated networks or computers or cloud computing networks, etc.) for being performed. A combination of software and hardware may be used to implement the above-described methods. A dedicated machine that can implement one or more of the above-discussed exemplary embodiments is now discussed with reference to
An exemplary computing device 1800 suitable for performing the activities described in the exemplary embodiments may include a server 1801. Such a server 1801 may include a central processor (CPU) 1802 coupled to a random access memory (RAM) 1804 and to a read-only memory (ROM) 1806. The ROM 1806 may also be other types of storage media to store programs, such as programmable ROM (PROM), erasable PROM (EPROM), etc. The processor 1802 may communicate with other internal and external components through input/output (I/O) circuitry 1808 and bussing 1810, to provide control signals and the like. The processor 1802 carries out a variety of functions as are known in the art, as dictated by software and/or firmware instructions.
The server 1801 may also include one or more data storage devices, including hard and floppy disk drives 1812, CD-ROM drives 1814, and other hardware capable of reading and/or storing information such as DVD, etc. In one embodiment, software for carrying out the above-discussed steps may be stored and distributed on a CD-ROM 1816, diskette 1818 or other form of media capable of portably storing information. These storage media may be inserted into, and read by, devices such as the CD-ROM drive 1814, the disk drive 1812, etc. The server 1801 may be coupled to a display 1820, which may be any type of known display or presentation screen, such as LCD displays, plasma display, cathode ray tubes (CRT), etc. A user input interface 1822 is provided, including one or more user interface mechanisms such as a mouse, keyboard, microphone, touch pad, touch screen, voice-recognition system, etc.
The server 1801 may be coupled to other computing devices, such as the landline and/or wireless terminals via a network. The server may be part of a larger network configuration as in a global area network (GAN) such as the Internet 1828, which allows ultimate connection to the various landline and/or mobile clients.
As also will be appreciated by one skilled in the art, the exemplary embodiments may be embodied in a wireless communication device, a computer network, as a method or in a computer program product. Accordingly, the exemplary embodiments may take the form of an entirely hardware embodiment or an embodiment combining hardware and software aspects. Further, the exemplary embodiments may take the form of a computer program product stored on a computer-readable storage medium having computer-readable instructions embodied in the medium. Any suitable computer-readable medium may be utilized, including hard disks, CD-ROMs, digital versatile discs (DVDs), optical storage devices, or magnetic storage devices such floppy disk or magnetic tape. Other non-limiting examples of computer-readable media include flash-type memories or other known memories.
The disclosed exemplary embodiments provide a computing device, software and a method for determining a source mechanism associated with a microseismic event. 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 as defined by the appended claims. Further, in the detailed description of the exemplary embodiments, numerous specific details are set forth in order to provide a comprehensive understanding of the claimed invention. However, one skilled in the art would understand that various embodiments may be practiced without such specific details.
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.
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.
Number | Date | Country | Kind |
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1195117 | Oct 2011 | FR | national |