JPH07286864A - Method and device for displaying transition state of physical quantity of object to be measured - Google Patents

Abstract

PURPOSE:To visualize the transition speed of an object to be measured which represents the physical quantity variation of the object per unit time. CONSTITUTION:A table generating section 9 reads dimensional data and the number of divisions at every measuring time. The section 9 generates a color scheme table for boundary line at measuring time and another color scheme table for dividing data by selecting the color numbers corresponding to divisions and boundary lines and stores the tables in a table storing section 5. A point calculating section 7 divides all data, calculates boundary lines, and stores the boundary points in a data storing section 2 by measuring time. The boundary point group at a certain measuring time is fetched from the section 2 and, when the boundary point group is of this year, an equivalent line diagram plotting section 8 plots lines connecting boundary points to each other by calculation and a coloring section 10 displays the lines on a picture displaying device 11 in the colors decided by referring to the color scheme table for dividing data. The section 8, in addition, performs calculation for connecting boundary points to each other by fetching the boundary point group at one measuring time and displays the boundary lines of past equivalent lines upon an equivalent line diagram colored in the colors decided by referring to the color scheme table for boundary line at measuring time in an overlapping way.

Description

Detailed Description of the Invention

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a graphic processing system for displaying a contour map such as a contour map or an isobar map, which is created by connecting points having the same physical quantity of each measurement point of an object to be measured. In particular, the physical quantity that continues to decrease over time such as erosion, corrosion, weathering, and wear is measured, and the transition state of the physical quantity that is the measured quantity of the measured object is measured in relation to the system for preventive maintenance of this measured object. The present invention relates to a method and apparatus for displaying a physical quantity transition state of a measurement target displayed as an isogram.

[0002]

2. Description of the Related Art Contour maps such as contour maps and contour maps are used in a wide range of fields. In particular, a contour map is often used to analyze the state at each measurement, especially for those that continue to decrease with time such as corrosion, erosion, weathering, and wear.

In the prior art, for example, at each measurement point on the surface of the object to be measured, in order to see the change at each measurement time in the contour map obtained from the dimension data of the wall pressure, I had to display the individual dose diagrams and compare them.

Further, in order to obtain a transition speed which is a change amount of a physical quantity which is a measured quantity of an object to be measured in a constant time, a difference between the dimensional data at each measurement and the dimensional data at the previous measurement must be calculated. There wasn't.

[0005]

As described above, in the conventional method for displaying an isogram, the state at each measurement time is individually displayed, but the physical quantity, which is the measured quantity of the object to be measured, per unit time. There is a problem in that it is not possible to display the transition speed, which is the change amount of.

The present invention has been made in view of the above circumstances, and a transition state display method and a transition state display method capable of displaying a transition speed which is a change amount of a physical quantity, which is a measured quantity of an object to be measured, per fixed time. To provide a device.

[0007]

A method for displaying a physical quantity transition state of an object to be measured according to the present invention is a method in which a horizontal line and a vertical line are set on a surface of the object to be measured so as to be divided in a grid pattern at each measurement time. The number of sections n (which is determined in accordance with the accuracy that takes in the dimension data measured on the grid points, obtains the maximum value and the minimum value of these dimension data, and requires the difference between the maximum value and the minimum value (n is a natural number) to obtain the pitch between the sections, obtain the upper limit value and the lower limit value of each section, and the dimensional data of all measurement points based on the upper limit value and the lower limit value of each section , Draw and draw the boundary line of each adjacent section, and perform the measurement at regular intervals,
In addition, it is characterized in that the boundary line and each section obtained at each measurement time are overlapped and displayed on the same surface so as to be distinguishable.

In the method of displaying the physical quantity transition state of the measurement object of the present invention, the attributes such as the color and type of the boundary line at each measurement are associated with each measurement time, and the area of each section is color-coded. It is characterized by being displayed so that it can be identified by.

Further, the physical quantity transition state display device for a measurement object of the present invention measures at each grid point set by dividing the surface of the measurement object by a horizontal line and a vertical line in a grid pattern at each measurement time. An input means for inputting the measured dimension data, and a measurement boundary line color arrangement table showing a correspondence relationship between the measurement time and the color of the boundary line of the contour map created based on the dimension data obtained at the measurement time. , A data section distribution color table showing a correspondence relationship between a section showing a distribution range of the dimensional data of the contour diagram created based on the dimensional data obtained at each measurement time and a color of the section color painting Storage means having: and processing means for performing arithmetic processing on the dimension data input from the input means with reference to the measurement-time boundary line coloration table and the data section distribution color table stored in the storage means.
And a display unit for displaying a transition state of a physical quantity that is a measured amount of a measurement object based on a calculation result of the processing unit, and the processing unit captures the dimension data from the input unit, The pitch between the sections is obtained by obtaining the maximum value and the minimum value, and dividing the difference between the maximum value and the minimum value by the number of sections n (n is a natural number) determined according to the required accuracy, Obtain the upper limit and lower limit of each category, assign the dimension data of all measurement points to the relevant category based on the upper limit and the lower limit of each category, and determine the boundary line of each adjacent category and draw it. , The measurement is performed at regular intervals, and the boundary line and each section obtained at each measurement time are color-coded without using the same color with reference to the measurement-time boundary line color arrangement table and the data section distribution color table, The table And displaying superimposed on means screen.

[0010]

In the method of displaying the physical quantity transition state of the measurement object having the above-described configuration, the measurement is performed on each grid point set by dividing the surface of the measurement object into grids with horizontal and vertical lines at each measurement time. The number of sections n (n is a natural number) determined by taking in dimension data, obtaining the maximum value and the minimum value of these dimension data, and determining the difference between the maximum value and the minimum value in accordance with the required accuracy.
Divide by to find the pitch between each section, find the upper and lower limits of each section, assign the dimensional data of all the measurement points to the corresponding section based on the upper and lower limits of each section, adjacent The boundary line of each section is obtained and drawn, the measurement is performed at regular intervals, and the boundary line and each section obtained at each measurement time are overlapped and displayed on the same surface in a distinguishable manner.

Further, in the method for displaying the physical quantity transition state of the measurement object having the above-mentioned configuration, the attributes such as the color and type of the boundary line at each measurement are associated with each measurement time, and the areas of each section are color-coded. Are displayed so that they can be identified.

Further, in the apparatus for displaying the physical quantity transition state of the measurement object having the above-mentioned configuration, the processing means is set on the surface of the measurement object from the input means at each measurement time and divided into horizontal and vertical lines in a grid pattern. Import the dimension data measured on each grid point, find the maximum and minimum values of these dimension data,
Further, the pitch between the sections is obtained by dividing the difference between the maximum value and the minimum value by the number of sections n (n is a natural number) determined according to the required accuracy, and the upper limit value and the lower limit value of each section are calculated. Obtain, allocate the dimensional data of all the measurement points to the corresponding section based on the upper limit value and the lower limit value of each section, determine the boundary line of each adjacent section and draw the image, and perform the measurement at regular intervals. And, the boundary line and each section obtained at each measurement time are color-coded without using the same color by referring to the measurement-time boundary line coloration table and the data section distribution color table, and superimposed on the screen of the display means. indicate.

Therefore, it is possible to display the transition speed, which is the amount of change in the physical quantity, which is the measured quantity of the object to be measured, per fixed time. Further, since image processing such as color-coding the boundary line (outline) of the isoquantity diagram and the section indicating the distribution of the dimension data is performed, the transition speed can be easily visually recognized for each section.

[0014]

Embodiments of the present invention will now be described in detail with reference to the drawings.

FIG. 1 shows the configuration of an embodiment of the physical quantity transition state display device according to the present invention. In the figure, a physical quantity transition state display device includes an input device 1 for inputting various data including wall pressure dimension data at each measurement point of a measurement object, a storage device 2 for storing the input data, and various calculations. It is composed of a central processing unit 6 for processing and a screen display unit 11 for displaying a transition state of the dimension data of the wall pressure.

The storage device 2 includes a data storage unit 3 in which dimension data is stored, a color table storage unit 4 in which a color table composed of color numbers is stored in advance, a measurement time point and a measurement time point. Boundary line color arrangement table at the time of measurement showing the correspondence with the color of the boundary line of the contour map created based on the measured dimension data and the contour map created based on the dimension data obtained at each measurement time. And a table storage unit 5 for storing a data section distribution color table showing a correspondence relationship between the section indicating the distribution range of the dimension data and the color painted on the section.

The central processing unit 6 uses a point calculation unit 7 for generating points for drawing a contour map, and an equal amount for drawing a contour map using the points generated by the point calculation unit 7. A line drawing drawing processing unit 8, a table generation unit 9 for generating a measurement boundary line color arrangement table and a data section distribution color table, and a coloring drawing for the isogram drawn by the isogram drawing processing unit 8. It has a color painting processing unit 10 for an isogram.

The present embodiment is a preventive maintenance system for a heat exchanger of a power plant. In the heat exchanger, the wall thickness of the container is reduced by the high-temperature and high-pressure steam flowing in the container during long-time use. Therefore, at the time of inspection, measure the wall thickness with an ultrasonic wall thickness measuring device, etc., and draw a dimensional data of the wall pressure that decreases over time or a contour map (constant thickness map), and draw the meat of the container of the heat exchanger. The transition state diagram of thickness is displayed to evaluate the degree of danger of each part in the heat exchanger.

First, dimensional data indicating the wall pressure of the container of the heat exchanger will be described with reference to FIG. Here, the heat exchanger is inspected every four years from four years ago. The measurement of wall thickness is to divide the surface of the container of the heat exchanger into horizontal and vertical lines in a grid pattern, and position (x, y) (x; one point on a grid point is the origin (here: In the case of the upper right point), the thickness z is measured with respect to the lateral distance from the origin, y; also the vertical distance from the origin). For example, for the position (x1, y1) on the grid point, the wall thickness dimension z1 four years ago
(4) Two years ago wall thickness z1 (2), this year wall thickness z1
(0) is obtained from the measurement. Positions on other grid points (x2,
The same can be obtained for y2), (x3, y3), .... That is, the thickness dimension data can be obtained for one position for the number of measurements. I measured 3 times here, so 3
You will get one after another.

The procedure for obtaining the contour map from the thickness dimension data will be described with reference to FIG.

First, the number n of divisions (n is a natural number) required by the user for the difference obtained from the maximum value and the minimum value of the dimensional data obtained at the measurement of this year, which is the newest data, is required.
Calculate the split pitch with. Where the maximum is 18 and the minimum is 1.
2 and the number of categories is 3, the difference between the maximum value and the minimum value is 6
Is divided by 3 to obtain a pitch of 2. At this time, data with a minimum value of 12 or more and less than 14 belongs to Category 1, and data of 14 or more and 1
It is determined that the data of less than 6 belongs to the category 2, and the data of 16 or more and the maximum value of 18 or less belongs to the category 3.

As a procedure for obtaining the isogram from the dimension data, first, the lower and upper limits of each section are calculated from the difference between the maximum value and the minimum value of the data and the number of sections necessary for the user. Keep it. Set so that the difference between the upper and lower limits becomes the pitch. Here, the lower limit of Category 1 is the minimum value 14
The upper limit is 16, the lower limit of category 2 is 14, the upper limit is 16, and the lower limit of category 3 is 16 and the upper limit is maximum 18.

Next, by using the upper limit value and the lower limit value of each section obtained, it is sorted out to which section all the dimension data belong. For example, if a certain dimension data is 13, 13 belongs to Category 1 since 13 is less than the lower limit 12 and less than the upper limit 14 of Category 1. If the size data is 15, the lower limit of Category 2 is 14
As described above, since it is less than the upper limit value 16, it belongs to Category 2.

After dividing all the dimension data in this way, the points of the contour line for drawing the isosmogram are obtained for each division. Reference numeral 31 in FIG. 3A is a distribution chart of the results obtained by dividing the measured dimension data. Code ○
And the symbol .quadrature. Belong to the sections having different dimensional data on the grid. The contour line of the isogram is generally the boundary line of each section. For example, if the number of categories is 3, then category 1 and category 2
The boundary line of, and the boundary lines of section 2 and section 3 appear as the contour lines of the two isograms. In the boundary line between the section n and the section n + 1, the dimensional data of the end point always intersects with the line segment that belongs to the section n on the one hand and belongs to the section n + 1 on the other hand. That is, when the intersection of the boundary line and the line segment is called a boundary point, the distribution chart 31 of FIG.
In other words, the end points exist on the line segment with the code ◯ and the code □. Further, since the dimension of the wall thickness of the boundary point between the section n and the section n + 1 corresponds to the dimension which is the upper limit value of the section n and the lower limit value of the section n + 1, the position of the boundary point is proportionally distributed. Ask using. The proportional distribution formula is the size data Zn at the position of the symbol ◯, the size data Zn + 1 at the position of the symbol □, the size of the boundary point between the section n and the section n + 1, that is, the upper limit value of the section n and the lower limit value of the section n + 1. It is expressed by the following equation using the value L and the ratio P.

[0025]

[Equation 1]

First, attention is paid to the dimension data belonging to Category 1 and the dimension data belonging to Category 2. In the distribution diagram 31 of FIG. 3A, the dimension data belongs to the section 1 at the position of the symbol ◯ on the grid point, and the dimension data belongs to the section 2 at the position of the symbol □. At this time, as shown in FIG. 3B, the boundary line between the division 1 and the division 2 is always the line segment 32 whose end points are the symbols ◯ and □.
Intersect with. When the intersection of the boundary line and the line segment is called a boundary point, the boundary point X0 of the section 1 and the section 2 exists on the line segment whose end points are ◯ and □. For example, the line segment 32 shown in FIG.
At the position X1, the wall thickness dimension data is 13, and at the position X2
Assuming that the wall thickness dimension data in section 15 is 15, the wall thickness dimension at the boundary point X0 between section 1 and section 2 corresponds to dimension 14 which is the upper limit value of section 1 and the lower limit value of section 2. The position P of the point X0 is obtained by substituting 13 for Zn, 15 for Zn + 1, and 14 for L in the proportional distribution equation (Equation 1).

[0027]

[Equation 2]

From this equation, the position P of the boundary point X0 is shown in FIG.
It becomes the center of the line segment as shown in (b).

In this way, the positions of all the boundary points are calculated from the proportional distribution formula, and the boundary points are connected by using a mathematical means such as the least squares method. As shown in FIG. Section 1 isobaric lines are obtained. In the case of section 2 as well, a contour map can be obtained by drawing contour lines in the same manner. It is not necessary to draw the section 3 when the section 1 and the section 2 are drawn because the other sections are the section 3.

FIG. 4 is a flowchart of a series of processes for displaying the transition state diagram. In the figure, in step 41, the dimension data is input to the data storage unit 3 at each measurement time. At the same time, enter the required number of categories.

Next, at step 42, the data input at step 41 is read into the table generating section 9. Here, two tables are generated. From the color table storage unit 4, the division to which the dimensional data belongs and the color number for the boundary line of the contour map at each measurement are selected so as not to overlap, and the table generation unit 9 selects the boundary of the contour map at each measurement. A border color table at the time of measurement, which is associated with the line, and a data color table in which the color numbers of the sections to which the dimension data belong are generated and stored in the table storage unit 5.

In step 43, it is divided into categories to which each dimension data belongs for all dimension data. In step 44, the positions of the boundary points are calculated by the proportional distribution formula, and the calculated points are measured again in the data storage unit 2. Store by classifying by time. The processing of steps 43 and 44 is performed by the point calculation unit 7.

Further, at step 45, a boundary point group at a certain measurement is taken out from the points stored for each measurement, and then at step 46, it is judged whether or not the boundary point group is for this year. If it is the boundary point group of this year, the isogram drawing processing unit 8 performs an operation so as to connect the boundary points extracted by using the mathematical means in Step 47, and the color painting processing unit 10 in Step 48. The screen is drawn and displayed on the screen display device 11 by applying a coloring color with the color referred to from the data block distribution color table.

In step 49, a group of boundary points at one measurement in the past is extracted from the boundary points stored in the data storage unit 3 in step 44 separately for each measurement time.

Further, in step 60, arithmetic processing is performed to connect the boundary points of the boundary point group extracted to draw the contour map in the past measurement, and in step 61, the color is colored in the boundary line during measurement. The table is referred to, and the boundary line of the past contour map is superimposed on the contour map of this year displayed in step 46 with coloring and color painting, and the image is displayed on the screen display device 11.
FIG. 5 is a flowchart showing the specific contents of the process 42 in FIG. In step 50 in the figure, the required number of categories according to the prediction accuracy of the user and the number of measurements in the past are extracted. In the next step 51, two tables are prepared, and in step 52, the color table stored in the color table storage unit 4 is referred to and the color number associated with each measurement is selected.

Further, in step 53, if there is a selected color number, it is judged whether or not it overlaps, and if it does not overlap, it is stored in the measurement boundary line color arrangement table in the table storage part 5 in step 54, At 55, it is determined whether or not the number of measurements has been completed. Here, the processing from step 52 to step 54 is repeated by one less than the number of times of measurement. This is because the contour lines for this year's contour map are color-painted, so no boundaries are necessary.

Next, at step 56, it is judged whether or not the color number selected from the color table stored in the color table storage unit 4 as the color of the section does not overlap with the color number determined so far at step 57, If they do not overlap, in step 58, they are stored in the data area distribution color table in the table storage unit 5. Here, step 56 to step 5
The processes up to 8 are repeated several times for each category. In such a flow, the border color table at the time of measurement and the data area color table are generated.

FIG. 6 shows the color table and step 4 of FIG.
It is explanatory drawing which shows the relationship of the two tables produced | generated in 2. The color numbers in the measurement color arrangement table and the data area distribution color table have a relationship that they do not overlap each other.

FIG. 7 is an output result screen. Here, the danger level is divided by the difference up to the allowable value 10 of the dimension data. Therefore, the risk level 1 is the category 1, the risk level 2 is the category 2, and the risk level 3 is the category 3. First, when comparing the displacement differences A and A1 between this year and two years ago in the risk level, which is a category, since the size of A and A1 is larger than A1, the transition speed of A is faster than A1. Can be read.

Further, when comparing the magnitudes of the displacement differences B and B1 between this year and two years ago at the risk level 1, B is larger than B1 because of the magnitudes of B and B1. Therefore, B is more transitional than B1. It can be read that the speed is high. Further, from these results, it is understood that the transition speed of the left side portions A and B is higher than that of the right side portions A1 and B1.

Looking at each measurement time, the risk level 2
In comparing the displacement difference A (1) two years ago and four years ago with the displacement difference A this year and two years ago, A is larger than A (1), so A of A is larger than A (1). It can be seen that the transition speed is higher.

At the risk level 1, two years ago and four
Comparing the displacement difference B (1) from one year ago and the displacement difference B from this year and two years ago, B is larger than B (1), so B has a higher transition speed than B (1). Can be read. From these results, the transition speeds from 2 years ago to this year are higher than those from 4 years ago to 2 years ago at the parts A (1), A, B (1), and B on the right side. It is understood that there is. In other words, it can be seen that the transition speed tends to increase as the year passes.

When the measurement is carried out in a regular inspection once a year, the measurement range is limited, not the entire heat exchanger. Generally, the heat exchanger is covered with a heat insulating material. When measuring the wall thickness of the heat exchanger, first peel off the heat insulating material and then measure. By reading the rate of change in wall thickness dimension and the direction of change, it is possible to accurately limit the area where the amount of change is particularly large, so that the area from which the heat insulating material is to be peeled off and the measurement area can be specified, and the waste heat insulating material It can be reduced.

Further, since the measurement work time can be shortened, the safety of the inspection worker is enhanced.

Further, since the evaluation time can be shortened, the inspection cost can be reduced.

Further, when performing maintenance to cut and replace the unhealthy portion that is about to reach the allowable value, if a portion with a particularly large change speed is known, it is determined whether or not to replace the portion even if the allowable value is not reached. It can be an effective material for promoting.

The points to be noted when reading the transition speed will be described with reference to FIG. 8 which is an embodiment of the present invention. Figure 8
[Fig. 6] is a transition state diagram in the case where a section that did not exist in the previous measurement newly appears in the current measurement when the transition speed is very high. Reference numeral 81 in FIG. 8 represents Category 1 newly appearing in this measurement. In order to look at the transition speed focusing on the division, when a new division appears, the displacement difference of each division needs to be seen from the larger division. In other words, here, Category 3
Then, the displacement difference of is calculated, and the displacement difference of Category 2 is calculated. Since Category 1 did not exist at the previous measurement, the displacement difference cannot be obtained. If you read this carefully, you can prevent erroneous recognition even if a new segment appears.

[0048]

[0049]

As described above, according to the present invention, by displaying the contour plots for each measurement on the same plane, the transition speed, which is the change amount of data for a certain time, can be read. Become. That is, according to the present invention, four-dimensional information can be expressed by adding the dimension of time to the three-dimensional information of position (distance in the vertical direction, distance in the horizontal direction) and dimension.

Further, it becomes possible to read the direction of change such as how much the change amount in which direction the change amount is changing, and at which position the change amount is the largest.

These effects not only make it easy to grasp the current state of the entire object, but also make it possible to predict the future state. When the present invention is applied to the heat exchanger monitoring system of a power plant, the remaining life of the heat exchanger can be determined,
Based on the result, it is possible to estimate the time and site for replacement.

[Brief description of drawings]

FIG. 1 is a block diagram showing a configuration of an embodiment of a physical quantity transition state display device according to the present invention.

FIG. 2 is an explanatory diagram showing a process until obtaining dimension data of wall thickness of a container of a heat exchanger.

FIG. 3 is an explanatory diagram showing a procedure for obtaining a contour map from dimension data.

FIG. 4 is a flowchart showing a series of processing contents when a transition state diagram is displayed by the physical quantity transition state display device shown in FIG.

5 is a flowchart showing the specific content of the process of step 42 in FIG.

6 is an explanatory diagram showing a relationship between a color table and two tables generated by the processing of step 42 of FIG.

7 is a diagram showing a display example of a screen showing an output result of the physical quantity transition state display device shown in FIG.

FIG. 8 is a diagram showing a transition state when a section that did not exist in the previous measurement and newly appears in the current measurement when the transition speed is very high.

[Explanation of symbols]

 DESCRIPTION OF SYMBOLS 1 Input device 2 Storage device 3 Data storage unit 4 Color table 5 Table storage unit 6 Central processing unit 7 Point calculation unit 8 Contour plotting processing unit 9 Table generation unit 10 Color painting processing unit 11 Screen display device

─────────────────────────────────────────────────── ─── Continuation of the front page (51) Int.Cl. ⁶ Identification code Internal reference number FI Technical display location G09G 5/36 510 A 9471-5G

Claims (3)

[Claims] 1. The maximum value of these dimensional data is obtained by taking in the dimensional data measured at each grid point set on the surface of the object to be measured divided into horizontal and vertical lines in a grid shape at each measurement time. And the minimum value, and the pitch between the sections is calculated by dividing the difference between the maximum value and the minimum value by the number of sections n (n is a natural number) determined according to the required accuracy. The upper limit value and the lower limit value of, the dimensional data of all the measurement points based on the upper limit value and the lower limit value of each section is assigned to the corresponding section, and the boundary line of each adjacent section is determined and drawn, and A method of displaying a physical quantity transition state of an object to be measured, characterized in that the measurement is carried out at regular intervals, and the boundary line and each section obtained at each measurement time are overlapped and displayed on the same surface in a distinguishable manner. 2. The attribute such as the color and type of the boundary line at each measurement is associated with each measurement time, and the area of each section is displayed in a distinguishable manner by color coding or the like. 1. A method for displaying a physical quantity transition state of a measurement object according to 1. 3. An input means for inputting dimensional data measured at each grid point set by dividing the surface of the object to be measured into grids by horizontal and vertical lines at each measurement time, and the measurement time. Based on the measurement time boundary line color arrangement table showing the correspondence with the color of the boundary line of the contour map created based on the size data obtained at the measurement time, and the size data obtained at each measurement time A storage unit having a section showing a distribution range of the dimensional data of the created contour map and a data section distribution color table showing a correspondence relationship between the color of the section color painting, and the storage section Processing means for performing arithmetic processing on the dimensional data input from the input means with reference to the measurement boundary line color arrangement table and the data area distribution color table, and a physical quantity that is the measured quantity of the measuring object based on the arithmetic result of the processing means. Transition A display unit for displaying a state, the processing unit takes in the dimension data from the input unit, obtains the maximum value and the minimum value of these dimension data, and determines the difference between the maximum value and the minimum value. Is divided by the number of divisions n (n is a natural number) determined according to the required accuracy, the pitch between the divisions is obtained, the upper limit value and the lower limit value of each division are obtained, and the upper limit value and the lower limit value of each division are obtained. Allocate the dimensional data of all the measurement points to the corresponding section based on the value, draw the boundary line of each adjacent section and draw the image, perform the measurement at regular intervals, and obtain the measurement at each measurement time. A measuring object characterized in that the boundary line and each section are color-coded without using the same color by referring to the measurement-time boundary line color arrangement table and the data section distribution color table, and are superimposed and displayed on the screen of the display means. Physical quantity of Transition state display device.