JP2008175613A - Method, device and program for analyzing ground behavior - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To determine soundness as the whole ground by expressing the whole ground behavior, and to determine even a partial abnormality of the ground by expressing a partial behavior of the ground. <P>SOLUTION: Main component analysis is performed by using displacement data in a fixed period on a plurality of spots on the surface of the ground or in the ground, and then a main component score of the first main component in a period different from the fixed period is calculated by using a weight coefficient of the first main component acquired from results of the main component analysis and displacement data in the period different from the fixed period, and then a ground behavior is analyzed based on transition of the main component score. <P>COPYRIGHT: (C)2008,JPO&INPIT

Description

  The present invention relates to a ground behavior analysis method, apparatus, and program. More specifically, the present invention relates to a technique for grasping and analyzing a ground behavior suitable for application to, for example, maintenance and management of a ground cut slope and a natural slope.

  Understanding the behavior of natural slopes around cut slopes and important structures is important as preparation of basic data for predicting and predicting collapse in advance and reducing equipment damage and public disasters. It is indispensable also in so-called information construction that confirms and changes the initial design based on the above. The behavior of the ground is usually grasped mainly by analyzing the results of measuring the ground surface and the displacement in the ground using various devices.

  As a conventional device for monitoring and predicting the displacement behavior of the ground, for example, there is a ground / structure behavior monitoring device (Patent Document 1). As shown in FIG. 5, this ground / structure behavior monitoring apparatus determines a target 101 installed at a monitored point, a distance from the monitored point to the target 101 of the monitored point, and horizontal and vertical angles over time. Distance measurement means 102 and angle measurement means 103 that measure automatically, the coordinate value of each target 101 of the monitored point is calculated from the measurement data of distance measurement means 102 and angle measurement means 103, and the displacement behavior over time is monitored. And a monitoring device 104 to perform. Then, the monitoring device 104 calculates the coordinate value of the monitored point from the measurement data of the distance measuring means 102 and the angle measuring means 103, obtains the displacement behavior for each monitored point from the coordinate value data, and manages this displacement as a management reference. The displacement level for each monitored point is determined by comparing with the value. Further, the monitoring device 104 performs a prediction analysis of the displacement behavior using the coordinate value data accumulated in time series.

JP 9-21636 A

  However, since the tendency of the ground displacement behavior differs from ground to ground depending on the temperature change around the ground, the sunshine condition of the ground, the shape of the ground, etc., the ground displacement data obtained by the measurement has various fluctuation trends depending on the timing and ground of the measurement. Have Furthermore, since the ground displacement data is data at a plurality of points in time and data at a plurality of points in the measurement target ground, it is multivariate data. For this reason, in the ground / structure behavior monitoring device of Patent Document 1, since the displacement behavior for each monitored point is determined and the displacement level for each monitored point is determined, it is difficult to analyze the ground behavior. It is accompanied and requires a lot of labor. In addition, the ground / structure behavior monitoring device disclosed in Patent Document 1 cannot easily grasp the relationship between multivariate data obtained by measuring the displacement behavior of the ground, and expresses the overall behavior of the ground. It's hard to say that you can.

  Moreover, in the ground / structure behavior monitoring apparatus of Patent Document 1, since the displacement for each monitored point is compared with the management reference value, a partial abnormality of the ground when viewed in units of monitored points is determined. However, it is impossible to judge the soundness of the ground as a whole when viewed from the overall behavior of the ground.

  Therefore, the present invention can express the overall behavior of the ground and judge the soundness of the ground as a whole without requiring a great deal of labor for the analysis of the ground behavior, An object of the present invention is to provide a ground behavior analysis method, apparatus, and program capable of expressing a simple behavior and determining a partial ground abnormality.

  In order to achieve this object, the ground behavior analysis method according to claim 1 performs principal component analysis using displacement data for a certain period at the ground surface or at a plurality of points in the ground, and obtains the result of principal component analysis. Calculating a principal component score of the first principal component for a period different from the certain period using a weighting factor of the first principal component and displacement data of a period different from the certain period, and based on the transition of the principal component score The behavior of the ground is analyzed.

  In addition, the ground behavior analysis method according to claim 2 is managed based on a step of performing principal component analysis using displacement data for a certain period on the ground surface of the ground or at a plurality of points in the ground, and the result of the principal component analysis. Using the step of selecting the reference principal component, the weighting coefficient of the management reference principal component, and the displacement data of a period different from the certain period, the principal component score of the management reference principal component for a period different from the certain period is calculated. And a step of analyzing the behavior of the ground based on the transition of the main component score of the management reference main component.

  In addition, the ground behavior analysis apparatus according to claim 3 is managed based on the result of the principal component analysis, the means for performing principal component analysis using displacement data for a certain period at the ground surface of the ground or at a plurality of points in the ground. Using the means for selecting the reference principal component, the weighting factor of the management reference principal component, and the displacement data of a period different from the certain period, the principal component score of the management reference principal component for a period different from the certain period is calculated. And means for analyzing the behavior of the ground based on the transition of the main component score of the management reference main component.

  The ground behavior analysis program according to claim 4 is capable of accessing a database in which displacement data for a certain period at a ground surface of the ground or a plurality of points in the ground and displacement data for a period different from the certain period are recorded. A process for performing principal component analysis using displacement data of the predetermined period in a computer; a process for selecting a management reference principal component based on a result of the principal component analysis; a weighting factor for the management reference principal component and the predetermined period; Calculates the principal component score of the management reference principal component for a period different from the fixed period using displacement data of different periods, and analyzes the ground behavior based on the transition of the principal component score of the management reference principal component The process which performs is performed.

  Therefore, according to the ground behavior analysis method, apparatus, and program, the principal component analysis is performed to calculate the principal component score, which is an index representing the state of the entire set of displacement data at multiple points and multiple points in the ground. Since the overall evaluation is performed as a whole, the overall behavior of the ground can be expressed and the state of the entire ground can be analyzed based on this. In addition, when a partial displacement occurs in the ground, the principal component score that reflects the partial phenomenon is calculated and the partial phenomenon that occurs in the ground is also evaluated. It is possible to analyze the partial state of the ground based on this expression.

  Specifically, when the principal component score during the period of ground behavior analysis changes singularly from the overall trend of the temporal change and then returns to the fluctuation that matches the overall trend in a relatively short period of time It is considered that there is a partial displacement in the ground to be analyzed. Moreover, when the fluctuation of the main component score in one of the increasing direction and the decreasing direction continues for a long time, it is considered that the entire displacement is generated in the ground to be analyzed.

  According to the ground behavior analysis method, apparatus and program of the present invention, since the principal component score, which is an index representing the state of the entire set of displacement data, is calculated, the overall evaluation of the entire ground is performed. Compared to the case of obtaining the displacement for each monitored point and evaluating the displacement behavior for each monitored point, the labor of analysis can be saved. In addition, since the overall evaluation of the entire ground is performed by calculating the principal component scores using the entire displacement data at multiple points and multiple points in the ground, it is possible to express the overall behavior of the ground. It is possible to determine the soundness of the entire ground by analyzing the state of the entire ground based on the above, and to improve the accuracy of ground maintenance. In addition, since the principal component score that reflects the partial phenomenon of the ground is calculated and the partial evaluation of the ground is possible, it is possible to express the partial behavior of the ground, and based on this By analyzing the state of the part, it is possible to determine the presence or absence of a partial abnormality of the ground. From this point, the accuracy of the maintenance and management of the ground can be improved.

  Hereinafter, the configuration of the present invention will be described in detail based on the best mode shown in the drawings.

  1 and 2 show an example of an embodiment of a ground behavior analysis method, apparatus and program according to the present invention. In this ground behavior analysis method, principal component analysis is performed using displacement data for a certain period of time on the ground surface of the ground or at a plurality of points in the ground. The principal component score of the first principal component for a period different from the certain period is calculated using displacement data of a period different from the period, and based on the transition of the principal component score, the overall behavior and partial of the ground The behavior is analyzed.

  As shown in FIG. 1, the ground behavior analysis method uses a step (S1) of reading displacement data for a certain period at the ground surface of the ground or at a plurality of points in the ground, and using the read displacement data. A step (S2) of performing principal component analysis, a step (S3) of selecting a management reference principal component based on the result of the principal component analysis, a weighting factor of the management reference principal component, and displacement data of a period different from the predetermined period The step of calculating the principal component score of the management reference principal component for a period different from the certain period using (S4), and the step of maintaining the ground based on the transition of the principal component score of the management reference principal component ( This is realized by the processing configuration consisting of S5).

  The ground behavior analysis method is realized as the ground behavior analysis apparatus of the present invention. The ground behavior analysis apparatus of the present invention includes a means for reading displacement data for a certain period at a plurality of points in the ground surface or in the ground, a means for performing principal component analysis using the read displacement data, and a principal component A management reference principal component for a period different from the fixed period using means for selecting the management reference principal component based on the analysis result, a weighting factor of the management reference principal component, and displacement data of a period different from the fixed period Means for calculating the principal component score of the control unit, and means for maintaining and managing the ground based on the transition of the principal component score of the management reference principal component.

  The above-described ground behavior analysis method and ground behavior analysis device can also be realized by executing the ground behavior analysis program of the present invention on a computer. In the present embodiment, a case where a ground behavior analysis program is executed on a computer will be described as an example.

  FIG. 2 shows the overall configuration of the ground behavior analysis apparatus of the present embodiment for executing the ground behavior analysis program 17. The ground behavior analysis apparatus 10 includes a control unit 11, a storage unit 12, an input unit 13, a display unit 14, and a memory 15, and is connected to each other by a signal line such as a bus. The ground behavior analysis apparatus 10 is connected to a data server 16 via a communication line or the like, and signals such as data and control commands are transmitted / received (input / output) to / from each other via the communication line.

  The control unit 11 performs control related to the control of the entire ground behavior analysis device 10 and the analysis of the ground behavior using the principal component analysis by the ground behavior analysis program 17 stored in the storage unit 12, for example, CPU It is. The storage unit 12 is a device that can store at least data and programs, and is, for example, a hard disk. The input unit 13 is an interface for giving at least an operator's command to the control unit 11, and is, for example, a keyboard. The display unit 14 displays characters, graphics, and the like under the control of the control unit 11 and is, for example, a display. The memory 15 becomes a memory space that is a work area when the control unit 11 executes various controls and calculations. The data server 16 is a server capable of storing at least data.

  The control unit 11 of the ground behavior analysis apparatus 10 includes a data reading unit 11a for reading displacement data for a certain period of time at a plurality of locations on the ground surface or in the ground by executing a ground behavior analysis program 17. The principal component analysis executing means 11b for performing principal component analysis using the read displacement data, the reference principal component selecting means 11c for selecting the management reference principal component based on the result of the principal component analysis, and the weight of the management reference principal component A principal component score calculating means 11d for calculating a principal component score of a management reference principal component for a period different from the fixed period using a coefficient and displacement data of a period different from the fixed period, and a principal component of the management reference principal component Maintenance management means 11e for performing ground maintenance management based on the score transition is configured.

  In executing the ground behavior analysis method of the present invention, first, the data reading means 11a of the control unit 11 reads the displacement data of the ground to be analyzed used for the principal component analysis which is the processing of S2 (S1).

  In the present embodiment, as the displacement data of the ground, distance data from the observation point to the observed point, and data of the difference from the measurement value at the previous time of the distance data at the plurality of time points for each of the plurality of observed points is used. It is done.

  In addition, the data used for the analysis may be data at a plurality of time points by taking an average within a predetermined time such as one hour or one day in the case of continuously measured data, or measured at intervals. In the case of data, the data at a plurality of time points may be used as they are, or the data at a plurality of time points may be obtained by taking an average within a predetermined time such as one hour or one day longer than the measurement interval.

  In this embodiment, as distance data from the observation point to the observed point, a target point (also referred to as a target) is installed at the observed point set at an interval from the ground surface of the ground, The distance data to the target point obtained by the light wave survey using the light wave range finder installed at the observation point is used. Note that the method for measuring the distance data from the observation point to the observation point is not limited to the optical wave surveying, and any method may be used as long as it can measure the distance between the two points.

  The data used for the analysis is not limited to the data of the difference in distance from the observation point that is the ground surface movement data to the observed point on the ground surface. Any data may be used. For example, it may be data of movement inside the ground. Specifically, the difference data of the observation hole inclination obtained by underground change measurement using an inclinometer inserted into the observation hole provided in the ground may be used.

  Regarding the collection of data used for analysis, the number of observation points and the length of the measurement period may be appropriately set by the operator.For example, the number of observation points may be appropriately set according to the size of the ground to be analyzed, It is conceivable that the length of the measurement period is appropriately set based on the labor of data collection and the importance and purpose of the analysis of the ground behavior.

  It should be noted that there should be at least two observation points, but partial ground displacement in places where observation points are not set cannot be observed, and the higher the density of observation points, the more Since the accuracy is improved, it is desirable that the density of setting the observed points is higher. Further, the observed points may be set at equal intervals or may be set at unequal intervals. Further, the number of time points of the displacement data needs to be at least two time points for each observation point.

  In the present embodiment, the ground displacement data is stored in the data server 16 as the ground displacement database 18. However, the ground displacement database 18 is not limited to being stored in the data server 16, but may be stored in the storage unit 12, an MO (Magneto-Optical) disc, a CD ( It may be stored in a storage medium such as “Compact Disc”. When the ground displacement database 18 is stored in a storage medium different from the ground behavior analysis apparatus 10, the storage medium reading apparatus attached to or connected to the ground behavior analysis apparatus 10 (FIG. The displacement data of the ground is read via (not shown).

  The data reading means 11a reads ground displacement data for a certain period (hereinafter referred to as a data measurement period) used for the principal component analysis, which is the process of S2, from the ground displacement database 18 stored in the data server 16. The read data is stored in the memory 15.

  Reading of the ground displacement data corresponding to the data measurement period from the ground displacement database 18 is defined in advance in the ground behavior analysis program 17 as the start and end of the data measurement period, and the data within the period is stored as data. The reading unit 11a may read the data, or the operator may specify the start and end of the data measurement period, and the data reading unit 11a may read the data within the period specified from these.

  When the operator specifies the start and end of the data measurement period, the data reading means 11a displays a message on the display unit 14 requesting the specification of the start and end of the data measurement period in the process of S1. Then, the period specified from the start and end specified by the operator input via the input unit 13 is used as the data measurement period, and data within the period is read.

  Next, the principal component analysis execution unit 11b of the control unit 11 performs principal component analysis using the ground displacement data read in the process of S1 and stored in the memory 15 (S2).

  Since principal component analysis itself is a well-known method, the details are omitted here (for example, Tanaka and Wakimoto: Multivariate Statistical Analysis, Contemporary Mathematics, 1983).

  The composite variable Z of principal component analysis in the present invention is expressed by Equation 1.

ここに、Ｚ：合成変量，ａ：重み係数，ｘ：変位データ値，ｉ：観測時点，ｋ：変位データの識別子（本実施形態では標点の番号），ｐ：変位データの個数（ここでは標点の箇所数）。

Here, Z: composite variable, a: weighting factor, x: displacement data value, i: observation time point, k: displacement data identifier (in this embodiment, the number of the gauge point), p: number of displacement data (here Number of points on the gage).

  The variance V of the composite variable z expressed by Equation 1 is expressed by Equation 2.

ここに、Ｖ：分散，ｚ：合成変量，ｎ：観測時点の数，ａ：重み係数，ｘ：変位データ値，ｉ：観測時点又は変位データの識別子，ｊ：変位データの識別子，ｐ：変位データの個数，ｓ_ｉｊ：ａ_ｉとａ_ｊとの共分散。また、合成変量ｚ及び変位データ値ｘの上付線は平均を表す。

Here, V: variance, z: composite variable, n: number of observation points, a: weighting factor, x: displacement data value, i: identifier of observation point or displacement data, j: identifier of displacement data, p: displacement Number of data, s _ij : Covariance between a _i and a _j . The superscript line of the composite variable z and the displacement data value x represents the average.

  The problem of obtaining the principal component is a problem of maximizing the variance V (z) of the composite variable z under the constraint condition of Equation 3.

  This problem is an eigenvalue problem expressed by Equation 4 using Lagrange's undetermined multiplier method. Note that λ represents an undetermined multiplier.

The undetermined multiplier λ obtained from Equation 4 represents an eigenvalue, and eigenvalues (λ ₁ , λ ₂ ,..., Λ _p ) represent dispersion values on eigenvectors. The eigenvector expressed by Equation 5 is equal to the weight coefficient a in Equation 1. Then, the first principal component, the second principal component,..., The p-th principal component are arranged in order from the eigenvector having the largest variance value. The composite variable z calculated based on the eigenvector is the principal component score.

The principal component analysis execution unit 11b reads displacement data for each observation point from the memory 15 and performs principal component analysis. Specifically, the displacement data value x _ki for each observation point i for each gauge point k is read and principal component analysis is performed using Equations 1 to 4, and the weight coefficient a _k , the eigenvalue for each P-th principal component, and the contribution The rate is calculated (where P = 1, 2,..., P). Further, a principal component score for each P-th principal component is calculated using Equation 1. Equations 1 to 4 are defined in advance on the ground behavior analysis program 17.

  Here, when performing principal component analysis, the displacement data for each observation point for each point may be used as it is, or the variance for each point when comparing the dispersion for each point of displacement data for each observation point When the principal component analysis using the variance / covariance matrix shown in Equation 3 is large and the weight of the small variance is small, the average value of the variable is zero and the variance is 1. A standardized correlation matrix may be used.

The principal component analysis execution unit 11 b stores the weighting coefficient a _k obtained as a result of the principal component analysis, the principal component score for each P-th principal component, the eigenvalue, and the contribution rate in the memory 15.

  Next, the reference principal component selection unit 11c of the control unit 11 selects a management reference principal component based on the result of the principal component analysis stored in the memory 15 in the process of S2 (S3).

  The selection of the management standard principal component is performed from the viewpoint of grasping the main displacement of the ground to be analyzed and the displacement corresponding to the purpose and contents of the maintenance management. Specifically, when the principal component that captures the main displacement of the ground is selected as the management reference principal component, for example, the purpose of maintenance management is the analysis of ground behavior due to annual temperature fluctuations and the response based on it For example, the principal component that captures seasonal variations in ground displacement is selected as the management reference principal component.

  The selection of the management reference principal component is performed based on the variation tendency of the principal component score for each principal component obtained as a result of the processing of S2 and the magnitude of the contribution rate. For example, the contribution ratio of the principal component analysis is the largest, and the first principal component that captures most of the ground displacement, that is, the main displacement of the ground, can be considered as the management reference principal component.

  Note that the management reference principal component is not limited to one, and a plurality of principal components may be selected as the management reference principal components. Specifically, for example, in addition to the first principal component that captures the main displacement of the ground, the principal component that is considered to capture the displacement in a certain direction where the ground becomes unstable from the tendency of the principal component score to fluctuate Or you may make it also make the main component considered that the seasonal fluctuation | variation of a ground displacement is caught as a management reference | standard main component. Further, all the principal components in the range from the first principal component to the cumulative contribution ratio of each principal component exceeding 50% may be selected as the management reference principal components.

  Further, a main component other than the first main component may be selected as the management reference main component. Specifically, for example, from the tendency of the principal component score to change, the first principal component is considered to capture seasonal variations in ground displacement, and the second principal component captures displacement in a certain direction where the ground becomes unstable. If it is considered, the second principal component may be selected as a management reference principal component for ground stability management.

  The selection of the management reference principal component may be specified in advance on the ground behavior analysis program 17 so as to be performed based on the magnitude of the contribution rate for each principal component, or the operator performs the process of S2. You may make it look at the result of. When the operator selects the management reference principal component by looking at the result of the process of S2, the reference principal component selection unit 11c of the control unit 11 requests the designation of the management reference principal component together with the result of the process of S2. Is displayed on the display unit 14 and the principal component designated by the operator input via the input unit 13 is used as the management reference principal component.

  The reference principal component selection unit 11c stores in the memory 15 whether or not each management component is selected as a management reference principal component.

  Next, the principal component score calculation means 11d of the control unit 11 is based on the result of the principal component analysis stored in the memory 15 in the process of S2 and the selection information of the management reference principal component stored in the memory 15 in the process of S3. The principal component score of the management reference principal component is calculated (S4).

  Specifically, first, the principal component score calculating unit 11d performs a ground behavior analysis for ground maintenance, which is the process of S5, from the ground displacement database 18 stored in the data server 16 (hereinafter referred to as a period of ground motion analysis). (Referred to as an analysis target period), and the displacement data of the ground is read and the read data is stored in the memory 15.

  The analysis target period is set in a range that does not overlap with the data measurement period. Further, the analysis target period may be a period before the data measurement period or a period after the data measurement period. Specifically, for example, a relatively recent fixed period is set as a data measurement period, and a period before the period is set as an analysis target period so that the displacement behavior of the ground in a specific period in the past is analyzed. Alternatively, relatively recent ground displacement behavior may be analyzed by setting a past fixed period as a data measurement period and a period after the period as an analysis target period.

  Reading of the ground displacement data corresponding to the analysis target period from the ground displacement database 18 predefines the start and end of the analysis target period on the ground behavior analysis program 17 and mainly stores the data within the period. The component score calculating unit 11d may read the data, or the operator may specify the start and end of the analysis target period, and the principal component score calculating unit 11d may read data within the period specified from these. good.

  When the operator designates the start and end of the analysis target period, the principal component score calculating means 11d displays a message with a content requesting the start and end of the analysis target period at the stage of the processing of S4. The period specified from the start and end specified by the operator input via the input unit 13 is set as the analysis target period, and data within the period is read.

Then, principal component scores calculating means 11d is a weighting coefficient a _k for each gauge k reads in from memory 15, an observation point i another displacement data values x _ki for each target point k in analysis period from the memory 15 Read. Then, for calculating the principal component scores for each control standard main component different observation point i analysis period by Equation 1 by using the weighting coefficient a _k and the observed time i another displacement data values x _ki for each gauge k . The principal component score calculation unit 11d determines which principal component is selected as the management reference principal component based on the management reference principal component selection information stored in the memory 15 in the process of S3.

  The principal component score calculation unit 11 d stores the principal component score for each management reference principal component for each observation point i in the analysis target period in the memory 15.

  Next, the maintenance management means 11e of the control unit 11 determines the ground to be analyzed based on the principal component score for each management reference principal component (hereinafter referred to as management reference principal component score) stored in the memory 15 in the process of S4. Is maintained (S5).

  Specifically, the maintenance management means 11e reads the management reference principal component score for each observation time point i in the analysis target period from the memory 15, and the specific change point or period when the principal component score is viewed as the transition of the time series data. To extract.

  The extraction method of the singular change point or period may be any method that can identify the point or period that shows a singular change that deviates greatly from the overall trend when the management reference principal component score is viewed as a transition of time series data. For example, it may be specified from the absolute value of the rate of change or the amount of change in the management reference principal component score.

  When specifying from the rate of change of the management basis principal component score, specifically, when a change of a certain amount or more has occurred within a predetermined period and the rate of change has increased greatly in view of the overall trend, the point in time May be specified as a specific change point, and if the change continues, it may be specified as a specific change period. In addition, when specifying from the absolute value of the change amount of the management reference principal component score, specifically, the amount of change from this reference value is a constant amount with the management reference principal component score at the start of the analysis period as the reference value. When it becomes above, it is possible to specify the time point as a specific change time point.

  In addition, as an index for extracting the specific change point and period of the management reference principal component score, two indicators of the change rate of the management reference principal component score and the absolute value of the change amount may be used in combination. Only one of the indicators may be used.

  In addition, the extraction of the specific change point and the period of the management reference principal component score may be specified by the operator by looking at the time series transition of the management reference principal component score as a result of the processing of S4. In this case, the maintenance management unit 11e of the control unit 11 displays the result of the processing of S4 on the display unit 14, and the operator is greatly deviated from the overall trend based on the time series transition of the management reference principal component score. It is also possible to specify a point in time or a period during which a specific change is exhibited.

  When a plurality of management reference principal components are selected in the process of S3, the singular change time points and periods are extracted for each selected management reference principal component as seen from the time series transition of the principal component scores.

  If the specific change point or period of the management reference principal component score is extracted as described above, it is considered that an abnormality has occurred in the ground to be analyzed, so a more detailed investigation of the ground condition or the stability of the ground is possible. In addition, it is possible to confirm that the ground subject to analysis is stable if the time and period of singular change are not extracted. Maintenance can be performed.

  In addition, although the above-mentioned form is an example of the suitable form of this invention, it is not limited to this, A various deformation | transformation implementation is possible in the range which does not deviate from the summary of this invention. For example, in the present embodiment, the principal component score for the analysis of the ground behavior is calculated using the data already collected in the period set as the analysis target period. However, the present invention is not limited to this, and the latest ground The principal component score may be calculated sequentially using the collected data and the collected data. As a result, it becomes possible to analyze the ground behavior based on almost the current situation, and to increase the possibility of preventing the occurrence of disasters by conducting early detection of abnormalities and examining countermeasures for ground maintenance. it can.

  An embodiment in which the present invention is applied to analysis and maintenance of actual ground behavior will be described with reference to FIGS. In the present embodiment, maintenance management for the purpose of preventing collapse due to displacement of the inclined ground in a certain direction is assumed for the inclined ground.

  In this example, as the data for analyzing the slope behavior, the light wave rangefinder fixed at a position overlooking the ground to be analyzed and the nine targets installed at intervals over the entire ground surface. The data of the oblique distance between the light wave rangefinder and the gauge point measured over one year and four months by light wave survey using points was used.

  In addition, the oblique distance data of this embodiment is data collected by performing at least one measurement per day, and if the measurement is performed a plurality of times per day, the average value of the day is calculated. It was set as the data for every day by making it the data of the said day. And the difference with the measured value of the previous day was calculated based on the daily slant distance data, and the difference was used as the displacement data of the ground.

  In the present embodiment, the latter half of the year and four months when the oblique distance data was measured was set as the data measurement period (S1).

  Then, the principal component analysis was performed using the difference data of the oblique distance for one year set as the data measurement period, and the weighting coefficient, the eigenvalue and the contribution rate for each principal component, and the principal component score were calculated (S2).

  The results shown in Table 1 were obtained as eigenvalues, contribution rates, and cumulative contribution rates up to the second main component. From this result, the contribution ratio of the first principal component exceeded 70%, and it was thought that the main displacement tendency of the sloped ground to be analyzed was roughly grasped by the first principal component.

  In addition, the results shown in FIG. 3 were obtained for the main component scores for each observation point in the data measurement period. The first principal component score tended to increase continuously with time, and the first principal component was considered to be a component indicating continuous displacement of the ground in a certain direction. In addition, the second principal component score repeats increasing / decreasing with a cycle of one year. Specifically, the trend of increasing with increasing temperature and decreasing with decreasing temperature continues every year. Therefore, the second main component was considered to be a component showing seasonal variation.

  And, as described above, it was considered that the first main component generally grasped the tendency of the main displacement of the target ground, and in this example, the collapse prevention due to the displacement of the inclined ground in a certain direction. Therefore, the first principal component was selected as the management reference principal component because the first principal component was considered to capture the continuous displacement of the ground in a certain direction (S3).

  Subsequently, the principal component score of the first principal component selected as the management reference principal component using the daily displacement data for the four months before the data measurement period is set as the analysis target period. The result shown in FIG. 4 was obtained (S4). In this example, four months prior to the data measurement period were set as the analysis target period due to restrictions on the usage data. However, when maintenance management is performed for the purpose of preventing the collapse of sloped ground, the period after the data measurement period is set. It is desirable to perform analysis using relatively recent data.

  From FIG. 4, the principal component score of the first principal component during the analysis period has increased slightly as a whole, but there is no tendency for abrupt changes to continue for a long period of time. That is, in this embodiment, the first principal component selected as the management reference principal component represents a continuous displacement of the ground in a certain direction. It was not thought to be in progress. And even in the confirmation of the actual ground condition at the site, the fact that the ground deformation rapidly progressed during the analysis period was not recognized.

  From this result, it was confirmed that according to the method of the present invention, the overall behavior of the ground can be captured.

  Also, in order to confirm the transition of the principal component score when a part of the ground shows a peculiar behavior, an operation of shifting the position of some of the marks and an operation of deleting the data of some of the marks are performed. It was.

  Specifically, the operation to shift the position of some of the marks is to remove 2 to 3 marks from the nine marks set on the ground surface and remove them from the original position. It was performed by repeatedly performing over a certain period of time to install again. As a result, the data of the difference between the measurement values increased during the period in which the removal and re-installation were performed, and a situation in which a part of the ground was greatly displaced during the specific period was simulated.

  In addition, the operation of deleting data of some of the mark points was performed by removing the slope distance data for one mark point for one day from the ground displacement database 18. Thereby, the data of the difference of the measured value concerning the day from which data was removed became large, and the situation where a part of ground was greatly displaced temporarily was simulated. This operation was performed twice.

  The period corresponding to the period during which the operation of shifting some of the marks is shown as Pd1 in FIG. 4, and in the period Pd1, the first principal component score showed a discontinuous transition from the previous and subsequent periods. .

  In addition, the time points corresponding to the time point at which the operation of deleting some of the data of the mark points (that is, the day) is the time points indicated as Pt1 and Pt2 in FIG. Clearly discontinuous fluctuations were observed during this period.

  Note that the fluctuation of the main component score in the period Pd1 is due to an operation of shifting the positions of some of the marks in the present embodiment, that is, the ground is partially changed during a limited period. Further, the fluctuation of the main component score at the time points Pt1 and Pt2 is due to an operation of deleting data of some of the gauge points in the present embodiment, that is, due to a temporary fluctuation of the ground.

  From these results, it was confirmed that the partial displacement of the ground can be captured according to the method of the present invention.

  In addition, when the fluctuation is continued for a long time in one of the directions in which the main component score increases or decreases, that is, when the fluctuation such as the period Pd1 continues for a long time, the ground is generally constant. It is thought that it continues to be displaced in the direction.

It is a flowchart explaining an example of embodiment of the ground behavior analysis method of this invention. It is a functional block diagram of the ground behavior analysis device when the ground behavior analysis method of the embodiment is implemented using a program. It is a figure which shows transition of the main component score of the data measurement period of an Example. It is a figure which shows transition of the main component score of the analysis object period of an Example. It is a figure explaining the conventional ground and structure behavior monitoring apparatus.

Explanation of symbols

DESCRIPTION OF SYMBOLS 10 Ground behavior analyzer 11 Control part 12 Storage part 13 Input part 14 Display part 15 Memory 16 Data server 17 Ground behavior analysis program 18 Ground displacement database

Claims (4)

  A principal component analysis is performed using displacement data for a certain period at the ground surface of the ground or at multiple points in the ground, and the weighting coefficient of the first principal component obtained as a result of the principal component analysis and the displacement for a period different from the certain period A ground behavior analysis method characterized by calculating a principal component score of a first principal component for a period different from the predetermined period using data and analyzing the ground behavior based on a transition of the principal component score .   Performing principal component analysis using displacement data for a fixed period at a plurality of points in the ground surface or in the ground; selecting a management reference principal component based on the result of the principal component analysis; and Calculating a principal component score of a management reference principal component for a period different from the fixed period using a component weighting factor and displacement data of a period different from the fixed period; and a principal component score of the management reference principal component And a step of analyzing the behavior of the ground based on the transition of the ground.   Means for performing principal component analysis using displacement data for a fixed period at a plurality of points in the ground surface or in the ground; means for selecting a management reference principal component based on the result of the principal component analysis; and Means for calculating a principal component score of a management reference principal component for a period different from the fixed period using a component weighting factor and displacement data of a period different from the fixed period; and a principal component score of the management reference principal component And a means for analyzing the behavior of the ground based on the transition of the ground. A computer capable of accessing a database in which displacement data for a certain period at a ground surface or a plurality of points in the ground and displacement data for a period different from the certain period is recorded, and using the displacement data for the certain period as a principal component A process of performing analysis, a process of selecting a management reference principal component based on the result of the principal component analysis, a weighting factor of the management reference principal component and displacement data of a period different from the certain period And a process of calculating a principal component score of the management reference principal component for a period different from the above and a process of analyzing the behavior of the ground based on the transition of the principal component score of the management reference principal component To analyze ground behavior.

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