Disclosure of Invention
The invention mainly aims to provide a method, a device, equipment and a medium for sweeping the ground physical comprehensive parameters of underground pollutants, which improve the abnormal recognition precision of a polluted site, reduce the probability of human misjudgment and provide richer information support for the treatment of the polluted site.
In one aspect, the invention provides a method for cleaning underground pollutants by using ground-based comprehensive parameters, comprising the following steps:
according to the parameter scanning request, scanning data of each measuring point in a target area are obtained, wherein the scanning data comprise a first scanning characteristic and a second scanning characteristic;
normalizing the first scanning surface features and the second scanning surface features of all measuring points to obtain first normalization parameters and second normalization parameters, wherein the first normalization parameters are used for representing normalization processing results of the first scanning surface features, and the second normalization parameters are used for representing normalization processing results of the second scanning surface features;
calculating the correlation of the first normalization parameter and the second normalization parameter to obtain a correlation result, wherein the correlation result comprises one of positive correlation, negative correlation and uncorrelation;
according to the correlation result, calculating comprehensive parameters of each measuring point according to the first normalization parameters and the second normalization parameters, wherein the comprehensive parameters are used for representing whether the scan data of the measuring point is abnormal or not;
and interpreting at least one of the comprehensive parameters, the first normalization parameters and the second normalization parameters to obtain a parameter scan of a target area.
According to the method for scanning the underground pollutant by the ground physical comprehensive parameters, scanning data of each measuring point of a target area are acquired according to a parameter scanning request, and the method comprises the following steps:
and performing scanning processing on the target area by adopting a scanning method according to preset scanning grid parameters to obtain scanning data of each measuring point, wherein the scanning grid parameters comprise transverse adjacent point distances and longitudinal adjacent point distances, and the scanning method comprises at least one of geophysical scanning, geological scanning and chemical detection scanning.
The method for scanning the surface physical and chemical comprehensive parameters of the underground pollutant comprises the following steps of:
performing the following processing according to the relation between the number of first scanning surface features or the number of second scanning surface features in the scanning surface data of each measuring point and the total number of the measuring points;
when the number of the first scanning surface features or the number of the second scanning surface features is consistent with the total number of the measuring points, adopting a normalization formula
Performing normalization processing on the first scan feature or the second scan feature, whereinRepresenting one of said first normalization parameter and said second normalization parameter,/or->Representing one of said first and said second glance characteristics, wherein ∈>Representing the plane coordinates of the measuring point, wherein ∈>Numbering the measuring points of the scanning surface, and,/>the total number of measuring points for the scanning surface, wherein +.>Is a natural number not less than 1, wherein +.>A natural number of not less than 2;
and when the number of the first scanning surface features or the number of the second scanning surface features is inconsistent with the total number of the measuring points, performing gridding processing on coordinates and scanning surface data according to the measuring points so that the number of the first scanning surface features or the number of the second scanning surface features is consistent with the total number of the measuring points, and performing normalization processing on the first scanning surface features or the second scanning surface features by adopting a normalization formula, wherein grid parameters obtained by the gridding processing comprise an ordinate range, an abscissa range, an ordinate gridding interval and an abscissa gridding interval.
According to the method for sweeping the ground physical synthesis parameters of the underground pollutants, the correlation between the first normalization parameters and the second normalization parameters is calculated to obtain a correlation result, and the method comprises the following steps:
representing the said by means of a correlation parameterCorrelation of a first normalized parameter and said second normalized parameter, wherein the correlation parameterIs that
Wherein,indicating positive correlation +.>Indicating a negative correlation +.>Representing uncorrelation;
wherein,for the total number of measuring points participating in normalized parameter correlation analysis, +.>,For measuring point plane coordinates +.>One of said first normalized parameter and said second normalized parameter participating in a correlation analysis,/i->For measuring point plane coordinates +.>Is involved in correlation analysis and the second normalizationAnother one of the parameters->Parameter number for scan, and +.>,/>Parameter number for scan, and +.>,/> ,/>For the total number of parameters for acquiring scan data at scan points, wherein +.>A natural number of not less than 2, wherein
。
The method for sweeping the ground physical comprehensive parameters of the underground pollutant comprises the following steps:
wherein the method comprises the steps ofAnd->Are natural numbers of not less than 5.
According to the method for sweeping the ground physical feature comprehensive parameters of the underground pollutants, according to the correlation result, the comprehensive parameters of each measuring point are calculated according to the first normalized parameters and the second normalized parameters, and the method comprises the following steps:
the correlation result of the first normalization parameter and the second normalization parameter is positive correlation, and the method adopts
Calculating a composite parameter, whereinRepresenting the comprehensive parameters;
the correlation result of the first normalization parameter and the second normalization parameter is negative correlation, and the method adopts
Calculating comprehensive parameters;
and if the correlation result of the first normalization parameter and the second normalization parameter is uncorrelated, not executing the calculation of the comprehensive parameter.
The method for scanning the ground physical comprehensive parameters of the underground pollutant, wherein at least one of the comprehensive parameters, the first normalization parameters and the second normalization parameters is interpreted to obtain the parameter scanning of the target area, comprises the following steps:
and interpreting at least one of the comprehensive parameters, the first normalization parameters and the second normalization parameters of all the measuring points, and displaying an interpretation result through a contour map.
The invention also discloses a ground physical comprehensive parameter scanning device of the underground pollutant, which comprises:
the first module is used for acquiring scanning data of each measuring point of the target area according to the parameter scanning request, wherein the scanning data comprises a first scanning characteristic and a second scanning characteristic;
the second module is used for carrying out normalization processing on the first scanning surface characteristics and the second scanning surface characteristics of all measuring points to obtain first normalization parameters and second normalization parameters, wherein the first normalization parameters are used for representing normalization processing results of the first scanning surface characteristics, and the second normalization parameters are used for representing normalization processing results of the second scanning surface characteristics;
the third module is used for calculating the correlation of the first normalization parameter and the second normalization parameter to obtain a correlation result, and the correlation result comprises one of positive correlation, negative correlation and uncorrelation;
a fourth module, configured to calculate, according to the correlation result, a comprehensive parameter of each measurement point according to the first normalization parameter and the second normalization parameter, where the comprehensive parameter is used to characterize whether the scan data of the measurement point has an abnormality;
and a fifth module, configured to interpret at least one of the integrated parameter, the first normalized parameter and the second normalized parameter to obtain a parameter scan of the target area.
In another aspect, the invention provides an electronic device comprising a processor and a memory;
the memory is used for storing programs;
the processor executes the program to implement the method as described above.
The invention also discloses a computer program product or a computer program comprising computer instructions stored in a computer readable storage medium. The computer instructions may be read from a computer-readable storage medium by a processor of a computer device, and executed by the processor, cause the computer device to perform the method described previously.
The beneficial effects of the invention are as follows: parameters acquired based on a ground surface feature scanning mode are acquired by adopting different measuring points, and abnormal points are easier to identify through normalization and comprehensive association processing of different parameters, so that the abnormal identification precision of a polluted site can be improved, the probability of artificial misjudgment is reduced, richer information support is provided for the treatment of the polluted site, and the exploration effect and precision of underground pollutants are improved.
Detailed Description
Embodiments of the present invention are described in detail below, examples of which are illustrated in the accompanying drawings, wherein like or similar reference numerals refer to like or similar elements or elements having like or similar functions throughout. In the following description, suffixes such as "module", "part" or "unit" for representing elements are used only for facilitating the description of the present invention, and have no particular meaning in themselves. Thus, "module," "component," or "unit" may be used in combination. "first", "second", etc. are used for the purpose of distinguishing between technical features only and are not to be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated or implicitly indicating the precedence of the technical features indicated. In the following description, the continuous reference numerals of the method steps are used for facilitating examination and understanding, and the technical effects achieved by the technical scheme of the invention are not affected by adjusting the implementation sequence among the steps in combination with the overall technical scheme of the invention and the logic relations among the steps. The embodiments described below by referring to the drawings are illustrative only and are not to be construed as limiting the invention.
Referring to fig. 1, fig. 1 is a schematic diagram of a geodesic integrated parameter scanning system of an underground pollutant according to an embodiment of the present invention, which includes a scanning device 100 and a client 200, wherein the scanning device 100 mainly includes a measuring point 110 and a scanning grid 120, and a user of the client 200 obtains scanning data of each measuring point in a target area, and the scanning data includes a first scanning feature and a second scanning feature; normalizing the first scanning surface characteristics and the second scanning surface characteristics of all the measuring points to obtain first normalization parameters and second normalization parameters, wherein the first normalization parameters are used for representing normalization processing results of the first scanning surface characteristics, and the second normalization parameters are used for representing normalization processing results of the second scanning surface characteristics; calculating the correlation of the first normalization parameter and the second normalization parameter to obtain a correlation result, wherein the correlation result comprises one of positive correlation, negative correlation and uncorrelation; according to the correlation result, calculating the comprehensive parameters of each measuring point according to the first normalization parameter and the second normalization parameter, wherein the comprehensive parameters are used for representing whether the scan data of the measuring point is abnormal or not; and interpreting at least one of the comprehensive parameters, the first normalization parameters and the second normalization parameters to obtain a parameter scan of the target area, and displaying the parameter scan of the target area in a contour map mode. Referring to fig. 2, fig. 2 is a flowchart of a method for cleaning the surface of a subsurface contaminant according to an embodiment of the present invention, which includes, but is not limited to, steps S100 to S500:
s100, acquiring scanning data of each measuring point of a target area according to a parameter scanning request, wherein the scanning data comprises a first scanning feature and a second scanning feature.
In some embodiments, the first and second scan features are scan features obtained by different scan methods, such as polarization and resistivity.
In some embodiments, referring to the plan view of the working layout of the geochemical sweeping surface of the underground pollutant shown in fig. 3, the technical scheme of the embodiment of the invention obtains the plane coordinates of each measuring point by expanding the area of the geophysical excitation sweeping surface in the target area and designing the grid parameters of the sweeping surface according to the requirements of the working of the sweeping surface (as shown in fig. 3, 324 measuring points are arranged according to the grid parameters of 10 meters between the longitudinal adjacent points and 50 meters between the transverse adjacent points)(as shown in the vertical and horizontal coordinates in fig. 3); performing excitation sweeping work to obtain parameters of sweeping of each measuring point>(As shown in FIG. 3, table 1 and Table 2, the geophysical induced-polarization scanning was performed in this embodiment, and 2 scanning parameters were obtained, namely, the polarization ratio and the resistivity, respectively; and were setFor the susceptibility parameter of the scan, +.>Resistivity parameters for the sweep); wherein->Numbering measuring points for scanning, and;/>to develop the total number of stations of the scan, wherein +.>Is not less than 1Natural number (n=324 in this embodiment as shown in fig. 3); />Parameter number for scan, and +.>;/>For the total number of parameters acquired at a certain measuring point during scanning, wherein +.>For a natural number not less than 2 (as shown in fig. 3 and tables 1 and 2, m=2 in this embodiment, i.e. the present scan, 2 parameters are obtained at each measurement point, namely, a polarization rate parameter and a resistivity parameter); wherein parameter->Not all 0 (as shown in tables 1 and 2, in this embodiment, the polarization and resistivity parameters of the geophysical excitation plane are not 0).
In some embodiments, where geophysical electro-sweeping is only one of the sweeping methods, the sweeping method may also be a geological sweeping and a chemical detection sweeping.
And S200, carrying out normalization processing on the polarizability and the resistivity of all the measuring points to obtain a first normalization parameter and a second normalization parameter, wherein the first normalization parameter is used for representing the normalization processing result of the polarizability, and the second normalization parameter is used for representing the normalization processing result of the resistivity.
In some embodiments, the following process is performed according to the number of polarizability or resistivity in the scan data for each station versus the total number of stations:
when the number of the polarizability or the number of the resistivity is consistent with the total number of the measuring points, calculating by adopting a normalization formula; and when the number of the polarizability or the resistivity is inconsistent with the total number of the measuring points, performing gridding processing on the coordinate and the scan data according to the measuring points so that the number of the polarizability or the resistivity is consistent with the total number of the measuring points, and performing normalization processing on the polarizability or the resistivity by adopting a normalization formula, wherein grid parameters obtained by the gridding processing comprise an ordinate range, an abscissa range, an ordinate gridding interval and an abscissa gridding interval.
In some embodiments, the polarization rate and resistivity parameters of all the measuring points (such as 324 measuring points shown in fig. 3) obtained by the technical scheme of the corresponding embodiment in fig. 3 are normalized to obtain normalized parameters of the parameters(As shown in tables 1 and 2, the polarization ratio normalization parameter +.>And resistivity normalization parameter->) The method comprises the steps of carrying out a first treatment on the surface of the Wherein->Is the total number of certain parameters, wherein +.>A natural number of not less than 2; since the polarization and resistivity parameters are obtained at all the measurement points in the present embodiment, the polarization and resistivity normalization parameter calculation is performed by directly adopting the normalization formula (1) for the measured parameter values (the calculation results are shown in tables 1 and 2, the polarization normalization parameter +.>And resistivity normalization parameter->) In this case +.>(as shown in figures 3 and tables 1 and 2,);
;
wherein, table 1 and table 2 respectively show the polarization rate, the resistivity and the polarization rate normalization parameters of the geophysical excitation plane on which the measuring points 1-10 and the measuring points 310-322 are arranged,Resistivity normalization parameters->Correlation coefficient, < >>Comprehensive parameters,A kind of electronic device
TABLE 1 parameter Table for measuring points 1-10 geophysical excitation scan
TABLE 2 parameter Table for measurement points 313-322 geophysical excitation scan
S300, calculating the correlation of the first normalization parameter and the second normalization parameter to obtain a correlation result, wherein the correlation result comprises one of positive correlation, negative correlation and uncorrelation.
In some embodiments, the correlation coefficient is obtained by adopting the formula (2) to analyze the correlation between one normalized parameter and another normalized parameter(correlation coefficient shown in Table 1 +.>A correlation coefficient of the polarization ratio normalization parameter and the resistivity normalization parameter); if the correlation coefficient->Then there is a positive correlation between the two normalized parameters; if the correlation coefficient->There is a negative correlation between the two normalized parameters (as shown in table 1, the correlation coefficient r=0.11 in the present embodiment, that is, the relationship between the polarization rate parameter and the resistivity parameter is a negative correlation); if the correlation coefficient->Then there is no correlation between the two normalized parameters; />Total number of measurement points (n=324 in this embodiment) for participation in normalized parameter correlation analysis;(n=324 in this embodiment, as shown in fig. 3); />For measuring point plane coordinates +.>One of the normalization parameters involved in the correlation analysis (as shown in Table 1 +.in this embodiment)>=1, i.e. the polarizability parameter); />For measuring point plane coordinates +.>Another normalized parameter involved in correlation analysis (as shown in Table 1, in this embodiment +.>=2, i.e. resistivity parameter); />Parameter number for scan, and +.>;/>Parameter number for scan, and +.>;/>;/>For the total number of parameters acquired at a certain measuring point during scanning, wherein +.>A natural number of not less than 2 (in this embodiment, m=2 as shown in fig. 3 and table 1); wherein the method comprises the steps of,;
S400, according to the correlation result, calculating the comprehensive parameters of each measuring point according to the first normalization parameter and the second normalization parameter, wherein the comprehensive parameters are used for representing whether the scan data of the measuring point is abnormal or not.
In some embodiments, if there is a positive correlation between the two normalized parameters, then calculate the combined parameters of the two normalized parameters for all points using equation (3)The method comprises the steps of carrying out a first treatment on the surface of the If the two normalization parameters have negative correlation, calculating the comprehensive parameters of the two normalization parameters of the same measuring point by adopting a formula (4)>If a certain measuring point in the formula (4)The comprehensive parameters of the measuring point are not calculated; if the two normalization parameters are not related, not performing comprehensive parameter calculation; (according to the table 1, the correlation coefficient of the polarization ratio normalization parameter and the resistivity normalization parameter is-0.11, and the resistivity normalization parameter of each measuring point +.>All are not 0, so in this embodiment, formula (4) is selected to perform the overall parameter +.>The results obtained are shown as "comprehensive parameters +.>"column; )
S500, interpreting at least one of the comprehensive parameters, the first normalization parameters and the second normalization parameters to obtain a parameter scan of the target area.
Comprehensive parameters of all measuring pointsAnd/or normalizing parameters to obtain all the parameters in the regionA plurality of glance interpretation results; if the comprehensive parameters cannot be calculated at all the measuring points, analyzing and interpreting the normalized parameters of all the measuring points to obtain the scan interpretation result in the measuring area. (in this embodiment, all the measuring points can calculate the comprehensive parameters and the normalization parameters, so that the interpretation of the excitation scan results can be performed according to the comprehensive parameters and the normalization parameters in this embodiment; as shown in fig. 4, 5, 6, 7 and 8); the contour diagram of the comprehensive parameters obtained in fig. 8 can better embody the distribution condition of the detection targets because the polarizability and the resistivity show negative correlation characteristics, and the result (fig. 8) of the comprehensive parameters is obtained; fig. 7 better shows the strong polarization and low resistivity features of the present embodiment, and thus better finds anomalies of the strong polarization and low resistivity features.
FIG. 9 is a schematic diagram of an apparatus for the geochemical synthesis parameter sweep of subsurface contaminants in accordance with an embodiment of the invention. The apparatus includes a first module 910, a second module 920, a third module 930, a fourth module 940, and a fifth module 950.
The first module 910 is configured to obtain, according to a parameter scan request, scan data of each measurement point in the target area, where the scan data includes a first scan feature and a second scan feature; the second module 920 is configured to normalize the first scan characteristic and the second scan characteristic of all the measurement points to obtain a first normalization parameter and a second normalization parameter, where the first normalization parameter is used to represent a normalization result of the first scan characteristic, and the second normalization parameter is used to represent a normalization result of the second scan characteristic; a third module 930, configured to calculate a correlation between the first normalized parameter and the second normalized parameter to obtain a correlation result, where the correlation result includes one of a positive correlation, a negative correlation, and an uncorrelation; a fourth module 940, configured to calculate, according to the correlation result, a comprehensive parameter of each measurement point according to the first normalization parameter and the second normalization parameter, where the comprehensive parameter is used to characterize whether the scan data of the measurement point has an anomaly; a fifth module 950 is configured to interpret at least one of the integrated parameter, the first normalized parameter, and the second normalized parameter to obtain a parameter scan of the target area.
For example, in cooperation with the first module 910, the second module 920, the third module 930, the fourth module 940, and the fifth module 950 in the apparatus, the apparatus of the embodiment may implement any of the foregoing ground-feature integrated parameter scanning methods for underground pollutants, that is, obtain scanning data of each measuring point of the target area according to a parameter scanning request, where the scanning data includes a first scanning feature and a second scanning feature; normalizing the first scanning surface characteristics and the second scanning surface characteristics of all the measuring points to obtain first normalization parameters and second normalization parameters, wherein the first normalization parameters are used for representing normalization processing results of the first scanning surface characteristics, and the second normalization parameters are used for representing normalization processing results of the second scanning surface characteristics; calculating the correlation of the first normalization parameter and the second normalization parameter to obtain a correlation result, wherein the correlation result comprises one of positive correlation, negative correlation and uncorrelation; according to the correlation result, calculating the comprehensive parameters of each measuring point according to the first normalization parameter and the second normalization parameter, wherein the comprehensive parameters are used for representing whether the scan data of the measuring point is abnormal or not; and interpreting at least one of the comprehensive parameters, the first normalization parameters and the second normalization parameters to obtain a parameter scan of the target area. The beneficial effects of the invention are as follows: the first scanning surface features and the second scanning surface features which are acquired based on the geophysical induced polarization scanning surface mode are acquired for different measuring points, and the abnormal points are easier to identify through normalization and comprehensive association processing of the first scanning surface features and the second scanning surface features, so that the abnormal identification precision of a polluted site can be improved, the probability of human misjudgment is reduced, richer information support is provided for the treatment of the polluted site, and the exploration effect and precision of underground pollutants are improved.
The embodiment of the invention also provides electronic equipment, which comprises a processor and a memory;
the memory stores a program;
the processor executes a program to execute the above-mentioned ground physical comprehensive parameter sweeping method of the underground pollutant; the electronic equipment has the functions of a software system for carrying and running the ground-based comprehensive parameter scanning of the underground pollutant, such as a computer, a speed regulator, a speed regulating device and the like.
Embodiments of the present invention also provide a computer readable storage medium storing a program for execution by a processor to implement a geochemical synthetic parameter sweeping method for subsurface contaminants as described above.
In some alternative embodiments, the functions/acts noted in the block diagrams may occur out of the order noted in the operational illustrations. For example, two blocks shown in succession may in fact be executed substantially concurrently or the blocks may sometimes be executed in the reverse order, depending upon the functionality/acts involved. Furthermore, the embodiments presented and described in the flowcharts of the present invention are provided by way of example in order to provide a more thorough understanding of the technology. The disclosed methods are not limited to the operations and logic flows presented herein. Alternative embodiments are contemplated in which the order of various operations is changed, and in which sub-operations described as part of a larger operation are performed independently.
Embodiments of the present invention also disclose a computer program product or computer program comprising computer instructions stored in a computer readable storage medium. The computer instructions may be read from a computer-readable storage medium by a processor of a computer device, and executed by the processor, to cause the computer device to perform the above-described geochemical synthetic parameter scanning method of subsurface contaminants.
Furthermore, while the invention is described in the context of functional modules, it should be appreciated that, unless otherwise indicated, one or more of the described functions and/or features may be integrated in a single physical device and/or software module or one or more functions and/or features may be implemented in separate physical devices or software modules. It will also be appreciated that a detailed discussion of the actual implementation of each module is not necessary to an understanding of the present invention. Rather, the actual implementation of the various functional modules in the apparatus disclosed herein will be apparent to those skilled in the art from consideration of their attributes, functions and internal relationships. Accordingly, one of ordinary skill in the art can implement the invention as set forth in the claims without undue experimentation. It is also to be understood that the specific concepts disclosed are merely illustrative and are not intended to be limiting upon the scope of the invention, which is to be defined in the appended claims and their full scope of equivalents.
The functions, if implemented in the form of software functional units and sold or used as a stand-alone product, may be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention may be embodied essentially or in a part contributing to the prior art or in a part of the technical solution, in the form of a software product stored in a storage medium, comprising several instructions for causing a computer device (which may be a personal computer, a server, a network device, etc.) to perform all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a random access Memory (RAM, random Access Memory), a magnetic disk, or an optical disk, or other various media capable of storing program codes.
Logic and/or steps represented in the flowcharts or otherwise described herein, e.g., a ordered listing of executable instructions for implementing logical functions, can be embodied in any computer-readable medium for use by or in connection with an instruction execution system, apparatus, or device, such as a computer-based system, processor-containing system, or other system that can fetch the instructions from the instruction execution system, apparatus, or device and execute the instructions. For the purposes of this description, a "computer-readable medium" can be any means that can contain, store, communicate, propagate, or transport the program for use by or in connection with the instruction execution system, apparatus, or device.
More specific examples (a non-exhaustive list) of the computer-readable medium would include the following: an electrical connection (electronic device) having one or more wires, a portable computer diskette (magnetic device), a Random Access Memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber device, and a portable compact disc read-only memory (CDROM). In addition, the computer readable medium may even be paper or other suitable medium on which the program is printed, as the program may be electronically captured, via, for instance, optical scanning of the paper or other medium, then compiled, interpreted or otherwise processed in a suitable manner, if necessary, and then stored in a computer memory.
It is to be understood that portions of the present invention may be implemented in hardware, software, firmware, or a combination thereof. In the above-described embodiments, the various steps or methods may be implemented in software or firmware stored in a memory and executed by a suitable instruction execution system. For example, if implemented in hardware, as in another embodiment, may be implemented using any one or combination of the following techniques, as is well known in the art: discrete logic circuits having logic gates for implementing logic functions on data signals, application specific integrated circuits having suitable combinational logic gates, programmable Gate Arrays (PGAs), field Programmable Gate Arrays (FPGAs), and the like.
In the description of the present specification, a description referring to terms "one embodiment," "some embodiments," "examples," "specific examples," or "some examples," etc., means that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the present invention. In this specification, schematic representations of the above terms do not necessarily refer to the same embodiments or examples. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
While embodiments of the present invention have been shown and described, it will be understood by those of ordinary skill in the art that: many changes, modifications, substitutions and variations may be made to the embodiments without departing from the spirit and principles of the invention, the scope of which is defined by the claims and their equivalents.
While the preferred embodiment of the present invention has been described in detail, the present invention is not limited to the embodiments described above, and those skilled in the art can make various equivalent modifications or substitutions without departing from the spirit of the present invention, and these equivalent modifications or substitutions are included in the scope of the present invention as defined in the appended claims.