JP2017020787A - Inflow evaluation formula derivation method and inflow evaluation formula derivation device, inflow derivation method and inflow derivation device, apparatus fragility evaluation method and apparatus fragility evaluation device, and tsunami stochastic risk evaluation method and tsunami stochastic risk evaluation device - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide an inflow evaluation formula derivation method improved in accuracy.SOLUTION: A method of deriving an inflow evaluation formula for calculating an inflow of a fluid per unit time into a building is characterized in that when the inflow evaluation formula, by which an inflow per unit time can be calculated from parameters relating to the inflow evaluation formula and a flood depth outside and in the vicinity of the building, is employed as a first inflow evaluation formula, the inflow per unit time is calculated by the first inflow evaluation formula using at least one parameter selected from among a width of an opening of the building, the flood depth outside and in the vicinity of the building, a height from the ground to a lower part of the opening of the building, a radius of the opening of the building, a flow coefficient, and a gravity acceleration, and a second inflow evaluation formula is derived from a relationship between the inflow per unit time measured by an inflow measurement device that is installed at the opening of the building or in the vicinity of the opening of the building, and the inflow per unit time calculated by the first inflow evaluation formula.SELECTED DRAWING: Figure 3

Description

  The present invention relates to evaluation of inflow and probabilistic risk evaluation of tsunami.

  Probabilistic risk assessment (tsunami PRA: Tsunami PRA) has been gaining attention in Japan since the tsunami PRA subcommittee was established at the Atomic Energy Society of Japan since the tsunami hit the Great East Japan Earthquake. I came.

  Tsunami PRAs are classified into tsunami hazard assessment, equipment damage probability assessment (fragility assessment), and accident sequence assessment, and are intended to obtain information on the frequency of reactor core damage at nuclear power plants.

  In the tsunami PRA, it is an issue to improve evaluation accuracy, that is, to improve each evaluation accuracy of tsunami hazard evaluation, equipment fragility evaluation, and accident sequence evaluation. Among these, in the equipment fragility evaluation, it is possible to improve the evaluation accuracy by improving the calculation accuracy of the inflow amount of the tsunami flowing into the building.

  In the evaluation of the amount of inflow of a large amount of water so far, for example, there is a technique as described in Patent Document 1. Patent Document 1 discloses a “dam discharge time prediction system that predicts a dam discharge time over a long period of time by predicting future rainfall”.

Japanese Patent Laid-Open No. 10-83490

  The above-mentioned patent document 1 relates to the prediction of the amount of dam water and the amount of inflow, and is difficult to apply to the prediction of the amount of inflow of tsunami flowing into the building as described above.

  Further, Patent Document 1 does not consider improvement of the calculation accuracy of the inflow amount, and only uses a known inflow amount evaluation formula. Therefore, in order to improve the evaluation accuracy of the fragility evaluation of equipment, it is necessary to improve the calculation accuracy of the inflow amount.

  Accordingly, an object of the present invention is to provide an inflow amount evaluation formula deriving method and an inflow amount evaluation formula deriving device with higher accuracy.

  Another object of the present invention is to provide a more accurate inflow amount deriving method and inflow amount deriving device.

  Another object of the present invention is to provide a more accurate apparatus fragility evaluation method and apparatus fragility evaluation apparatus.

  Another object of the present invention is to provide a more accurate tsunami probabilistic risk evaluation method and tsunami probabilistic risk evaluation apparatus.

  In order to solve the above problems, the present invention is a method for deriving an inflow rate evaluation formula for calculating the inflow rate per unit time of fluid into a building, and includes parameters related to the inflow rate evaluation formula and the vicinity of the building. When the inflow rate evaluation formula capable of calculating the inflow rate per unit time from the inundation depth of the building is the first inflow rate evaluation formula, the width of the building opening, the inundation of the building outdoor in the vicinity of the building Inflow per unit time according to the first inflow rate evaluation formula using at least one parameter among depth, height to the bottom of the building opening, radius of the building opening, flow coefficient, gravity acceleration The amount of inflow per unit time calculated by the first inflow amount evaluation formula and the inflow amount per unit time measured by the inflow amount measuring device installed in the building opening or in the vicinity of the building opening Relationship with Wherein the deriving a second inflow evaluation formula.

  In addition, the present invention uses the first inflow rate evaluation formula and the input unit for inputting parameters necessary for the first inflow rate evaluation formula and the repetition condition, the first inflow rate evaluation formula and the parameter. , At least one of an inflow amount deriving unit for calculating an inflow amount per unit time, an inflow amount measuring device for measuring the inflow amount per unit time, and a flow velocity measuring device for measuring a flow rate; Based on the inflow per unit time calculated by the inflow amount deriving unit, the inflow per unit time measured by the inflow amount measuring device, or the inflow per unit time calculated from the flow velocity measured by the flow velocity measuring device An inflow rate evaluation formula deriving unit for deriving a second inflow rate evaluation formula, and a control unit for controlling the inflow rate evaluation formula deriving unit based on the repetition condition, The input amount evaluation formula deriving unit includes the inflow amount per unit time measured by the inflow amount measurement device or the inflow amount per unit time calculated based on the flow velocity measured by the flow velocity measurement device, and the first inflow amount evaluation. The second inflow rate evaluation formula is derived from the relationship between the formula and the inflow rate per unit time calculated using the parameters, and the number of processes that are sequentially repeated in the inflow rate evaluation formula deriving unit under the repetition condition Is specified.

  According to the present invention, it is possible to improve the calculation accuracy of the inflow amount, improve the evaluation accuracy of the fragility evaluation of the device, and finally improve the evaluation accuracy of the tsunami PRA.

  Problems, configurations, and effects other than those described above will be clarified by the following description of embodiments.

It is the example of the figure seen from the front direction of the opening of a building when the shape of the opening of a building is a rectangle. When the shape of the opening of a building is a rectangle, it is the example of the figure seen from the cross-sectional direction (A-A 'cross section of FIG. 1A) of the opening of a building. It is the example of the figure seen from the front direction of the opening of a building when the shape of the opening of a building is circular. When the shape of the opening of a building is circular, it is the example of the figure seen from the cross-sectional direction (B-B 'cross section of FIG. 2A) of the opening of a building. It is a flowchart which shows the method to derive | lead-out the inflow amount evaluation type | formula which concerns on one Embodiment of this invention. (Use ratio R) It is a figure which shows the ratio of the inflow amount theoretical value per unit time obtained from the inflow amount evaluation formula which concerns on one Embodiment of this invention, and the ratio of the inflow amount measured value per unit time, and the inundation depth H of a building outdoor. is there. It is a figure which shows the ratio of the inflow amount theoretical value per unit time obtained from the inflow amount evaluation formula which concerns on one Embodiment of this invention, and the ratio of the inflow amount measured value per unit time, and the inundation depth H of a building outdoor. is there. It is a figure which shows the ratio of the inflow amount theoretical value per unit time obtained from the inflow amount evaluation formula which concerns on one Embodiment of this invention, and the ratio of the inflow amount measured value per unit time, and the inundation depth H of a building outdoor. is there. It is a figure which shows the ratio of the inflow amount theoretical value per unit time obtained from the inflow amount evaluation formula which concerns on one Embodiment of this invention, and the ratio of the inflow amount measured value per unit time, and the inundation depth H of a building outdoor. is there. It is a flowchart which shows the method to derive | lead-out the inflow amount evaluation type | formula which concerns on one Embodiment of this invention. (Use difference D) It is a figure which shows the relationship between the inflow amount theoretical value per unit time obtained from the inflow amount evaluation formula which concerns on one Embodiment of this invention, and the inflow amount actual measurement value per unit time, and the inundation depth H of a building outdoor. is there. It is a figure which shows the relationship between the inflow amount theoretical value per unit time obtained from the inflow amount evaluation formula which concerns on one Embodiment of this invention, and the inflow amount actual measurement value per unit time, and the inundation depth H of a building outdoor. is there. It is a figure which shows the relationship between the inflow amount theoretical value per unit time obtained from the inflow amount evaluation formula which concerns on one Embodiment of this invention, and the inflow amount actual measurement value per unit time, and the inundation depth H of a building outdoor. is there. It is a figure which shows the relationship between the inflow amount theoretical value per unit time obtained from the inflow amount evaluation formula which concerns on one Embodiment of this invention, and the inflow amount actual measurement value per unit time, and the inundation depth H of a building outdoor. is there. It is a flowchart which shows the method to derive | lead-out the inflow amount evaluation type | formula which concerns on one Embodiment of this invention. It is a flowchart which shows the method to derive | lead-out the inflow amount evaluation type | formula which concerns on one Embodiment of this invention. (Use ratio R). It is a figure which shows the ratio of the inflow amount theoretical value per unit time obtained from the inflow amount evaluation formula which concerns on one Embodiment of this invention, and the ratio of the inflow amount measured value per unit time, and the inundation depth H of a building outdoor. is there. It is a figure which shows the ratio of the inflow amount theoretical value per unit time obtained from the inflow amount evaluation formula which concerns on one Embodiment of this invention, and the ratio of the inflow amount measured value per unit time, and the inundation depth H of a building outdoor. is there. It is a figure which shows the ratio of the inflow amount theoretical value per unit time obtained from the inflow amount evaluation formula which concerns on one Embodiment of this invention, and the ratio of the inflow amount measured value per unit time, and the inundation depth H of a building outdoor. is there. It is a figure which shows the ratio of the inflow amount theoretical value per unit time obtained from the inflow amount evaluation formula which concerns on one Embodiment of this invention, and the ratio of the inflow amount measured value per unit time, and the inundation depth H of a building outdoor. is there. The use of the flow velocity v _m measured by a flow rate measuring device is a flow chart illustrating an example of a method for determining the flow rate per unit time. It is an example of the figure which shows the coordinate of height. It is a figure which shows the whole outline | summary of the apparatus which derives | leads-out the inflow amount evaluation type | formula based on one Embodiment of this invention. It is a figure which shows the whole outline | summary of the apparatus which derives | leads-out the inflow which concerns on one Embodiment of this invention. It is a flowchart which shows the fragility evaluation method which concerns on one Embodiment of this invention. It is an example of the position of the apparatus installed in the building. It is a figure which shows the whole outline | summary of the fragility evaluation apparatus which concerns on one Embodiment of this invention. It is a figure which shows the whole outline | summary of the fragility evaluation apparatus containing the inflow amount evaluation type | formula derivation | leading-out apparatus and inflow amount derivation | leading-out apparatus which concern on one Embodiment of this invention. It is a figure which shows the whole outline | summary of the apparatus which performs the probabilistic risk evaluation of the tsunami which concerns on one Embodiment of this invention.

  Embodiments of the present invention will be described with reference to the drawings. In each drawing and each embodiment, the same or similar components are denoted by the same reference numerals, and detailed description of overlapping portions is omitted.

In this embodiment, the unit time flowing into the first inflow evaluation formula per unit time obtained from the inflow amount Q _t and building 10 for opening or inflow placed near the opening measuring device in the building measured in 11 using the ratio R between the flow rate Q _m per, the method of deriving the second inflow evaluation equation the inflow per unit time than the first inflow evaluation formula to flow into the building can be accurately evaluated An example will be described. Note the first inflow evaluation formula is that of the known inflow evaluation formula is an equation that relates the building outside immersion depth H of the inflow Q _t and near buildings per unit time.

  1A and 1B are examples of the arrangement of the building 10, the inflow amount measuring device 11 installed in or near the opening of the building 10, and the inundation depth measuring device 21 installed outside the building 10. FIG. FIG. 1A is an example of a view seen from the front direction of the opening of the building, and FIG. 1B is an example of a view seen from the cross-sectional direction of the opening of the building. 1A corresponds to FIG. 1B. The fluid outside the building 10 flows into the building through the opening of the building 10. In this embodiment, since it is assumed that the fluid flows into the building, the inundation depth H in the vicinity of the building is larger than the height L to the lower part of the building opening.

  The inflow amount per unit time flowing into the building can be obtained from the measurement using the inflow amount measuring device 11, but it is also possible to substitute the inundation depth H outside the building near the building into a known inflow amount evaluation formula. It can be evaluated. In the present embodiment, this known inflow rate evaluation formula is defined as a first inflow rate evaluation formula.

As shown in FIGS. 1A and 1B, assuming that the shape of the opening of the building is a quadrangle, the inundation depth H in the vicinity of the building is the height L to the lower part of the building opening and the vertical length d of the building opening. In the case where the sum is less than the sum of the above, there are Equation 1, Equation 2, etc. as the first inflow amount evaluation formula. In Equations 1 and 2, b is the length of the building opening in the horizontal direction, H is the depth of flooding outside the building near the building, and L is the height to the bottom of the building opening. Further, the flow amount per a first unit derived from the inflow amount evaluation formula time is defined as Q _t, in particular, per the amount of inflow per unit time obtained from the number 1 Q _t1, units derived from equation 2 Time _Is defined as _Qt2 .

On the other hand, for example, as shown in FIGS. 2A and 2B, the shape of the building opening is assumed to be circular, and the inundation depth H in the vicinity of the building is the height L to the lower part of the building opening and the diameter 2r of the building opening. If it is greater than the sum, the first inflow rate evaluation formula includes Equation 3. Here, FIG. 2A is an example of a diagram viewed from the front direction of the building opening, and FIG. 2B is an example of a diagram viewed from the cross-sectional direction of the building opening. 2B corresponds to FIG. 2B. In Equation 3, r is the radius of the building opening, C is the flow coefficient, g is the gravitational acceleration, H is the depth of inundation outside the building near the building, and L is the height to the lower part of the building opening. In particular, the inflow per unit time obtained from _{Equation 3} is defined as _Qt3 .

  In the present embodiment, a second inflow rate evaluation formula that can accurately evaluate the inflow rate per unit time is derived from these first inflow rate evaluation formulas.

FIG. 3 shows a method for deriving the second inflow rate evaluation formula in this embodiment. First determine the Q _t from the first inflow evaluation formula. For example, in the first inflow amount evaluation formulas such as Equation 1, Equation 2, and Equation 3, the horizontal length b of the building opening, the inundation depth H in the vicinity of the building, and the height to the lower portion of the building opening Substituting necessary values among L, building opening radius r, flow coefficient C, and gravitational acceleration g into Equations 1, 2, and 3 to obtain Q _t1 , Q _t2 , and Q _t3 .

Next, determine the ratio R between the flow rate Q _m per unit time measured by Q _t and the inflow amount measuring device 11, we derive an approximate curve f representing the relationship between H and R. For example, for Equation 1, a ratio R ₁ between Q _t1 and Q _m is obtained, and an approximate curve f ₁ representing the relationship between H and R ₁ is derived. For _{Equation 2} , a ratio R ₂ between Q _t2 and Q _m is obtained, and an approximate curve f ₂ representing the relationship between H and R ₂ is derived. Similarly, for Equation 3, the ratio R ₃ between Q _t3 and Q _m is obtained, and an approximate curve f ₃ representing the relationship between H and R ₃ is derived.

As an example, when the relationship between H and R ₁ , the relationship between H and R ₂ is given as shown in FIG. 4A, and the relationship between H and R ₃ is given as shown in FIG. 4B, approximate curves f ₁ , f ₂ , f ₃ is given by Equation 4, Equation 5, and Equation 6, respectively. Here, the relationship between H and R ₁ , the relationship between H and R _2, and the relationship between H and R ₃ are approximated by linear equations, respectively.

Since the approximate curve f approximates R, which is the ratio of Q _t to Q _m , the formula obtained by dividing Q _t by the approximate curve f represents the inflow per unit time more accurately than Q _t. Become. Therefore, the second inflow rate evaluation formula that can evaluate the inflow rate per unit time more accurately than the first inflow rate evaluation formula can be derived as shown in Equation 7. For example, for the first inflow rate evaluation formula as shown in Equation ₁ , since R ₁ is the ratio of Q _t1 and Q _m , the number 8 obtained by dividing Q _t1 by f ₁ is the second inflow rate. It can be derived as an evaluation formula. Further, with respect to the first inflow evaluation formula such as the number 2, number 9 a second inflow obtained by dividing Q _t2 at f ₂ than R ₂ is the ratio of the Q _t2 and Q _m It can be derived as an evaluation formula. Similarly, for the first inflow rate evaluation formula as shown in Equation ₃ , since R ₃ is the ratio of Q _t3 and Q _m , Equation 10 obtained by dividing Q _t3 by f ₃ is the second inflow amount. It can be derived as a quantity evaluation formula.

Further, the inflow per unit time obtained from the second inflow rate evaluation formula is defined as Q _tn, and in particular, the inflow per unit time obtained from Equation 8 is defined as Q _tn1 and per unit time obtained from _Equation 9. _Is defined as Q _tn2 and the inflow per unit time obtained from _Equation 10 is defined as Q _tn3 . In equations 8 to 10, the same value is entered for H of the numerator (portion corresponding to equations 1 to 3) and H of the denominator (portion corresponding to equations 4 to 6), but the dimensions are different. It is necessary to pay attention to. Since H of the numerator (part corresponding to Equation 1 to Equation 3) is the depth of water immersion, the dimension is length, but H of the denominator (portion corresponding to Equation 4 to Equation 6) is a parameter of the approximate curve. Therefore, it is dimensionless.

Finally for confirmation, to compare the accuracy of the inflow amount Q _tn per unit time obtained from the inflow amount per unit time obtained from the first inflow evaluation formula Q _t and the second inflow evaluation formula . And H in Figure _5A, illustrating the relationship between _{R n2, R 1, R 2} is the ratio of the _{R n1, Q tn2} and _{Q m} is the ratio of the _{Q tn1} and _{Q m.} FIG. 5B shows the relationship between H and R _n3 and R ₃ , which are ratios between Q _tn3 and Q _m . Note the definition of R and R _n, the value of the vertical axis so that it represents accurately the flow amount per about unit time close to 1. In the comparison between R _n1 and R ₁ , the comparison between R _n2 and R _2, and the comparison between R _n3 and R ₃ , R _n1 , R _n2 , and R _n3 take values closer to 1, respectively. It can be confirmed that the inflow rate evaluation formula evaluates the inflow rate per unit time more accurately than the first inflow rate evaluation formula.

  Therefore, by using the second inflow amount evaluation formula derived in the present embodiment, the inflow amount calculation accuracy is improved, the evaluation accuracy of the equipment fragility evaluation is improved, and finally the tsunami probability theory It becomes possible to improve the evaluation accuracy of the risk assessment (tsunami PRA).

  In the present embodiment, an example in which the second inflow rate evaluation formulas such as Formula 8, Formula 9, and Formula 10 are derived by using the first inflow rate formulas such as Formula 1, Formula 2, and Formula 3. Although shown, the example which derives other 2nd inflow quantity evaluation formulas by the method of this example by using other 1st inflow quantity evaluation formulas is also included in this example.

  In the present embodiment, an example in which the relationship between H and R is approximated by a linear expression is shown, but an example in which the relationship between H and R is approximated by another expression is also included in the present embodiment.

In this embodiment, the unit time flowing into the first inflow evaluation formula per unit time obtained from the inflow amount Q _t and building 10 for opening or inflow placed near the opening measuring device in the building measured in 11 using the difference D between the inflow Q _m per, the method of deriving the second inflow evaluation equation the inflow per unit time than the first inflow evaluation formula to flow into the building can be accurately evaluated An example will be described. Note the first inflow evaluation formula is that of the known inflow evaluation formula is an equation that relates the building outside immersion depth H of the inflow Q _t and near buildings per unit time.

  Since the arrangement of the building 10, the inflow measuring device 11 installed in or near the opening of the building 10, and the infiltration depth measuring device 21 installed outside the building 10 is the same as that of the first embodiment, the description thereof is omitted. To do. Since the first inflow rate evaluation formula and the formulas 1, 2, and 3 that are examples of the first inflow rate evaluation formula are the same as those in the first embodiment, the description thereof is omitted.

  In the present embodiment, a second inflow rate evaluation formula that can accurately evaluate the inflow rate per unit time is derived from the first inflow rate evaluation formula.

FIG. 6 shows a method for deriving the second inflow rate evaluation formula in this embodiment. First determine the Q _t from the first inflow evaluation formula. For example, in the first inflow amount evaluation formulas such as Equation 1, Equation 2, and Equation 3, the horizontal length b of the building opening, the inundation depth H in the vicinity of the building, and the height to the lower portion of the building opening Substituting necessary values among L, building opening radius r, flow coefficient C, and gravitational acceleration g into Equations 1, 2, and 3 to obtain Q _t1 , Q _t2 , and Q _t3 .

Next, determine the difference D between the inflow Q _m per unit time measured by Q _t and the inflow amount measuring device 11, we derive an approximate curve h representing the relationship between H and D. For example, for Equation 1, a difference D ₁ between Q _t1 and Q _m is obtained, and an approximate curve h ₁ representing the relationship between H and D ₁ is derived. Further, for the number _2, it calculates the difference _{D 2} between _{Q t2} and _{Q m,} derives an approximate curve _{h 2} representing the relationship between H and _{D 2.} Similarly, for Equation 3, the difference D ₃ between Q _t3 and Q _m is obtained, and an approximate curve h ₃ representing the relationship between H and D ₃ is derived.

As an example, when the relationship between H and D ₁ , the relationship between H and D ₂ is given as shown in FIG. 7A, and the relationship between H and D ₃ is given as shown in FIG. 7B, approximate curves h ₁ , h ₂ , h ₃ is given by Equation 11, Equation 12, and Equation 13, respectively. Note here, the relationship between H and D _1, the relationship between H and D _2, the relationship between H and D ₃ is performing approximation at each quadratic equation.

Since the approximate curve h approximates D, which is the difference between Q _t and Q _m , the formula obtained by subtracting the approximate curve h from Q _t represents the inflow per unit time more accurately than Q _t. Become. Therefore, the second inflow rate evaluation formula that can evaluate the inflow rate per unit time more accurately than the first inflow rate evaluation formula can be derived as shown in Equation 14. For example, for the first inflow evaluation formula such as the number 1, the number 15 minus _{h 1} from _{Q t1} than that _{D 1} is the difference between _{Q t1} and _{Q m} is the second inflow It can be derived as an evaluation formula. Further, with respect to the first inflow evaluation formula such as the number 2, number 16 is the second inflow minus _{h 2} from the _{Q t2} than that _{D 2} is the difference between _{Q t2} and _{Q m} It can be derived as an evaluation formula. Similarly, for the first inflow amount evaluation formula as shown in Equation ₃ , since D ₃ is the difference between Q _t3 and Q _m , Equation 17 obtained by subtracting h ₃ from Q _t3 is the second inflow amount. It can be derived as a quantity evaluation formula.

Further, the inflow per unit time obtained from the second inflow rate evaluation formula is defined as Q _tn, and in particular, the inflow per unit time obtained from Equation 15 is defined as Q _tn4 and per unit time obtained from _Equation 16. _Is defined as Q _tn5, and the inflow per unit time obtained from _Equation 17 is defined as Q _tn6 . In Equations 15 to 17, H included in the first term (portion corresponding to Equation 1 to Equation 3) and H included in the second term and thereafter (portion corresponding to Equation 11 to Equation 13) are: Note that the same value is entered, but the dimensions are different. Since H included in the first term (the portion corresponding to Equation 1 to Equation 3) is the depth of inundation, the dimension is length, but included in the second term and thereafter (the portion corresponding to Equation 11 to Equation 13). Since H is a parameter of the approximate curve, it is dimensionless.

Finally for confirmation, to compare the accuracy of the inflow amount Q _tn per unit time obtained from the inflow amount per unit time obtained from the first inflow evaluation formula Q _t and the second inflow evaluation formula . And H in FIG. _8A, showing the relationship between the _{D n2, D 1, D 2} is the difference between a difference between _{Q tn4} and _{Q m D n1, Q tn5} and _{Q m.} FIG. 8B shows the relationship between H and D _n3 and D ₃ which are differences between Q _tn6 and Q _m . From the definition of D, the closer the value on the vertical axis is to 0, the more accurately represents the inflow per unit time. In the comparison between D _n1 and D ₁ , the comparison between D _n2 and D _2, and the comparison between D _n3 and D ₃ , D _n1 , D _n2 , and D _n3 take values closer to 0, respectively. It can be confirmed that the inflow rate evaluation formula evaluates the inflow rate per unit time more accurately than the first inflow rate evaluation formula.

  Therefore, by using the second inflow amount evaluation formula derived in the present embodiment, the inflow amount calculation accuracy is improved, the evaluation accuracy of the equipment fragility evaluation is improved, and finally the tsunami probability theory It becomes possible to improve the evaluation accuracy of the risk assessment (tsunami PRA).

  In the present embodiment, an example in which the second inflow rate evaluation formulas such as Formula 15, Formula 16, and Formula 17 are derived by using the first inflow rate formulas such as Formula 1, Formula 2, and Formula 3. Although shown, the example which derives other 2nd inflow quantity evaluation formulas by the method of this example by using other 1st inflow quantity evaluation formulas is also included in this example.

  Further, in this embodiment, an example in which the relationship between H and D is approximated by a quadratic expression is shown, but an example in which the relationship between H and D is approximated by another expression is also included in this embodiment.

  In the present embodiment, a method similar to the first embodiment or the second embodiment shown as an example of the method for deriving the second inflow amount evaluation formula by using the first inflow amount evaluation formula is used sequentially. An example of a method for deriving an inflow amount evaluation formula that can accurately evaluate the inflow amount per unit time flowing into the building rather than the inflow amount evaluation formula will be described.

  FIG. 9 shows an example of a method for deriving the inflow rate evaluation formula in this embodiment. First, the second inflow amount evaluation formula is derived by the method of the first embodiment or the second embodiment. Next, a third inflow rate evaluation formula is derived in the same manner as in the first or second embodiment. Here, the same method as in the first or second embodiment when deriving the third inflow amount evaluation formula is the same as the first inflow amount evaluation formula described in the first or second embodiment. This is a method in which the second inflow amount evaluation formula described in the first embodiment or the second embodiment is replaced with the third inflow amount evaluation formula by replacing with the inflow amount evaluation formula. Therefore, in general, when N is an integer equal to or larger than 2, the same method as in the first or second embodiment when deriving the Nth inflow rate evaluation formula by using the N-1th inflow rate evaluation formula, Replaces the first inflow rate evaluation formula described in Example 1 or Example 2 with the N-1th inflow rate evaluation formula, and replaces the second inflow rate evaluation formula described in Example 1 or Example 2. It is the method replaced with the Nth inflow rate evaluation formula. The derivation of the inflow rate evaluation formula by the same method as in the first or second embodiment is performed until the target Nth inflow rate evaluation formula is obtained as shown in FIG.

  Here, as an example, a method for deriving the third inflow amount evaluation formula by using the second inflow amount evaluation formula shown in the first embodiment in the same manner as in the first embodiment will be described.

  Since the arrangement of the building 10, the inflow measuring device 11 installed in or near the opening of the building 10, and the infiltration depth measuring device 21 installed outside the building 10 is the same as that of the first embodiment, the description thereof is omitted. To do. Since the second inflow rate evaluation formula and the formulas 8, 9, and 10 that are examples of the second inflow rate evaluation formula are the same as those in the first embodiment, the description thereof is omitted.

FIG. 10 shows an example of a method for deriving the third inflow rate evaluation formula by the same method as in the first embodiment by using the second inflow rate evaluation formula. First, Q _tn is obtained from the second inflow rate evaluation formula. For example, in the second inflow rate evaluation formulas such as Equation 8, Equation 9, and Equation 10, the horizontal length b of the building opening, the inundation depth H in the vicinity of the building, and the height to the lower portion of the building opening. Substituting necessary values among L, building opening radius r, flow coefficient C, and gravitational acceleration g into Equations 8, 9, and 10 to obtain Q _tn1 , Q _tn2 , and Q _tn3 .

Next, a ratio R _n between Q _tn and the inflow amount Q _m per unit time measured by the inflow amount measuring device 11 is obtained, and an approximate curve f _n representing the relationship between H and R _n is obtained. For example, for _Equation 8, a ratio R _n1 between Q _tn1 and Q _m is obtained, and an approximate curve f _n1 representing the relationship between H and R _n1 is derived. For _Equation 9, a ratio R _n2 between Q _tn2 and Q _m is obtained, and an approximate curve f _n2 representing the relationship between H and R _n2 is derived. Similarly, for _Equation 10, a ratio R _n3 between Q _tn3 and Q _m is obtained, and an approximate curve f _n3 representing the relationship between H and R _n3 is derived.

As an example, when the relationship between H and R _n1 and the relationship between H and R _n2 are given as shown in FIG. 11A and the relationship between H and R _n3 is given as shown in FIG. 11B, approximate curves f _n1 , f _n2 , f _n3 is given by _Equation 18, _Equation 19, and Equation 20, respectively. Here, the relationship between H and R _n1 , the relationship between H and R _n2, and the relationship between H and R _n3 are approximated by cubic equations, respectively.

Since the approximate curve f _n approximates R _n , which is the ratio of Q _tn to Q _m , the formula obtained by dividing Q _tn by the approximate curve f _n is more accurate for the inflow per unit time than Q _tn. Will represent. Therefore, the third inflow rate evaluation formula that can evaluate the inflow rate per unit time more accurately than the second inflow rate evaluation formula can be derived as shown in Equation 21.

For example, for the second inflow rate evaluation formula as shown in Equation 8, since R _n1 is the ratio of Q _tn1 and Q _m , the number 22 obtained by dividing Q _tn1 by f _n1 is the third inflow rate. It can be derived as an evaluation formula. Further, for the second inflow rate evaluation formula as shown in Equation 9, since R _n2 is the ratio of Q _tn2 and Q _m , the number 23 obtained by dividing Q _tn2 by f _n2 is the third inflow rate. It can be derived as an evaluation formula. Similarly, with respect to the second inflow amount evaluation formula as shown in Equation 10, since R _n3 is the ratio of Q _tn3 and Q _m , the number 24 obtained by dividing Q _tn3 by f _n3 is the third inflow amount. It can be derived as a quantity evaluation formula.

Further, the inflow per unit time obtained from the third inflow rate evaluation formula is defined as Q _tnn, and in particular, the inflow per unit time obtained from Equation 22 is defined as Q _tnn1 and per unit time obtained from _Equation 23. _Is defined as Q _tnn2, and the inflow per unit time obtained from _Equation 24 is defined as Q _tnn3 . In Expressions 22 to 24, H is included in a part corresponding to Expressions 1 to 3, H is included in a part corresponding to Expressions 4 to 6, and H is included in a part corresponding to Expressions 18 to 20. Note that the same value is entered, but the dimensions are different. Since H included in the portion corresponding to Equation 1 to Equation 3 is the depth of inundation, the dimension is length, but it corresponds to H included in the portion corresponding to Equation 4 to Equation 6 and Equation 18 to Equation 20. Since H included in the portion is a parameter of the approximate curve, it is dimensionless.

Finally, for confirmation, the accuracy of the inflow rate Q _tn per unit time obtained from the second inflow rate evaluation formula and the inflow rate Q _tnn per unit time obtained from the third inflow rate evaluation formula is compared. . And H in FIG. _12A, showing the relationship between _{Q Tnn1} and _{Q R} nn1 which is the ratio of the _{m, Q tnn2} and _R nn2 which is the ratio of the _{Q m, R n1, R n2} , and H in FIG. 12B, Q the ratio of the _tnn3 and _{Q m} shows the relationship between _{R nn3, R n3.} From the definition of R _n and R _nn , the closer the value on the vertical axis is to 1, the more accurately represents the inflow per unit time. In the comparison between R _nn1 and R _n1 , the comparison between R _nn2 and R _n2, and the comparison between R _nn3 and R _n3 , R _nn1 , R _nn2 , and R _nn3 have values closer to 1, respectively. It can be confirmed that the inflow rate evaluation formula evaluates the inflow rate per unit time more accurately than the second inflow rate evaluation formula.

  Therefore, by using the inflow rate evaluation formula derived in the present embodiment, the calculation accuracy of the inflow rate is improved, the evaluation accuracy of the fragility evaluation of the equipment is improved, and finally the probabilistic risk evaluation of the tsunami It becomes possible to improve the evaluation accuracy of (tsunami PRA).

  In the present embodiment, as an example, the third inflow rate evaluation formulas such as Formula 22, Formula 23, and Formula 24 are derived by using the second inflow rate formulas such as Formula 8, Formula 9, and Formula 10. However, an example in which another third inflow rate evaluation formula is derived by the method of the present embodiment by using another second inflow rate evaluation formula is also included in the present embodiment.

In this embodiment, an example in which the relationship between H and R _n is approximated by a cubic equation is shown, but an example in which the relationship between H and R _n is approximated by another equation is also included in this embodiment.

  In the present embodiment, an example in which the third inflow amount evaluation formula is derived by using the second inflow amount evaluation formula in the same manner as in the first embodiment is shown. However, in the same manner as in the second embodiment, An example in which the third inflow rate evaluation formula is derived by using the second inflow rate evaluation formula is also included in this embodiment.

  Furthermore, in this embodiment, an example of deriving the inflow rate evaluation formula by repeating the same method as the method of deriving the second inflow rate evaluation formula by using the first inflow rate evaluation formula shown in the first embodiment, An example of deriving the inflow rate evaluation formula by repeating the same method as the method of deriving the second inflow rate evaluation formula by using the first inflow rate evaluation formula shown in the second embodiment, the first shown in the first embodiment When the same method as the method for deriving the second inflow rate evaluation formula by using the first inflow rate evaluation formula is repeated, the second inflow rate is obtained by using the first inflow rate evaluation formula shown in the second embodiment. An example is also included in which a method similar to the method of deriving the evaluation formula is put in an iterative process to derive the inflow rate evaluation formula.

  That is, as shown in FIG. 9, when the Nth inflow rate evaluation formula is derived from the first inflow rate evaluation formula, the method of the first embodiment and the method of the second embodiment are appropriately selected and used in the process. It is also possible.

  In this embodiment, when measuring the inflow per unit time flowing into the building, the inflow per unit time cannot be measured by the inflow measuring device 11 shown in the first to third embodiments. An example of a method for deriving the inflow rate per unit time, which replaces the inflow rate per unit time measured by the inflow rate measurement device, by using the flow velocity measured by the measurement device will be described.

FIG. 13 is an example of a flowchart showing a method for deriving the inflow rate per unit time from the flow velocity measured by the flow velocity measuring device. First, such as the size of the shape of the building opening and building opening as input data, obtained by calculating the flow velocity distribution U _s when the fluid passes through the building aperture. On the other hand, measures the flow velocity v _m by the installed flow rate measuring device in the opening or openings near the building 10. Next the flow velocity distribution U _s obtained by calculation, by substituting the flow velocity v _m measured by a flow rate measuring device to determine the flow velocity distribution U when the fluid passes through the building aperture. In general, the flow velocity distribution U when the fluid passes through the building aperture, the more the measurement points of the flow velocity v _m is large, i.e. the greater the installation location of the flow rate measuring apparatus, the accuracy is improved. Finally, the obtained flow velocity distribution U is integrated over the entire fluid passage region in the building opening to derive the inflow amount Q _mv per unit time. The reason for obtaining the inflow rate per unit time by such a method is that the inflow rate per unit time when the flow rate differs depending on the position where the fluid passes through the building opening is the flow rate and micro area at each position of the building opening. This is because the inflow amount per unit time passing through the minute area obtained by taking the product of the above is added to the entire fluid passage region in the building opening.

As an example, when the shape of the building opening is a square as shown in FIGS. 1A and 1B, the inflow amount per unit time is derived by the method of the flowchart shown in FIG. As in the first embodiment, the depth H of the outdoor building near the building is smaller than the sum of the height L to the lower part of the building opening and the vertical length d of the building opening. The flow velocity measuring device shall be installed at two positions of the building opening, the flow velocity distribution U _s obtained by calculation is assumed to be given as Expression 25. In Equation 25, v ₀ and v ₁ are constants having a dimension of velocity, and are values determined from the flow velocity measured by the flow velocity measuring device. As shown in FIG. 14, y is a coordinate of height, and is a variable between L and H.

When a flow velocity measuring device is installed at a position where y is L and a position where y is H, the flow velocity measured by the flow velocity measuring device is v _mL when y is L, and v _mH when y is H. ₀ and v ₁ are determined as in Expression 26 and Expression 27, respectively.

Substituting v ₀ and v ₁ of Equations 26 and 27 into Equation 25, the flow velocity distribution U is obtained as shown in Equation 28.

When the flow rate per unit time is obtained from the flow velocity distribution in which the flow velocity depends only on the height as in Equation 28, the flow velocity is integrated in the height direction, and the product is multiplied by the horizontal length of the building opening. Therefore, in the case of the flow velocity distribution as shown in Equation 28, the inflow amount per unit time passing through the building opening can be derived as shown in Equation 29. In _Equation 29, Q _mv is an inflow per unit time obtained by using the flow velocity v _m .

  As described above, the amount of inflow per unit time can be derived from the flow velocity measured by the flow velocity measuring device. Therefore, even in a situation where the inflow per unit time cannot be directly measured in the first to third embodiments, the inflow per unit time can be derived by using the flow velocity measuring device.

  In the above example, the flow velocity measuring device was installed at two locations in the building opening. However, the flow velocity measuring device was installed at any one location in the building opening, and the flow velocity measurement was performed at any multiple locations in the building opening. Even in an example in which an apparatus is installed, it is possible to derive the inflow per unit time by giving an appropriate condition.

  In the above example, an example is shown in which the flow velocity when the fluid passes through the building opening is measured by the flow velocity measuring device installed at the building opening, but the measurement is performed by the flow velocity measuring device installed at a position away from the building opening. By correcting the measured flow velocity to the flow velocity when the fluid passes through the building opening, the flow velocity distribution when the fluid passes through the building opening can be obtained and the inflow per unit time can be derived. Is possible.

  As described above, in this embodiment, an example is shown in which flow velocity measuring devices are installed at two locations in the building opening. However, an example in which a flow velocity measuring device is installed at any one location in the building opening, and flow velocity measuring devices at any multiple locations in the building opening. An example in which a measuring device is installed and an example in which a flow velocity measuring device is installed in a place away from the building opening are also included in this embodiment.

In the present embodiment, a specific configuration example of the apparatus when the inflow amount evaluation formula is derived by the method described in any one of the first to third embodiments will be described. Note that the description of the inflow amount evaluation formula and the method for deriving the inflow amount evaluation formula is the same as in the first to third embodiments, and thus the description thereof is omitted in this embodiment. In the present embodiment, if the inflow Q _m per unit time by the inflow amount measuring apparatus 11 shown in Example 3 from Example 1 can not be measured, as in Example 4, the flow rate measured by the flow rate measuring device v _Assume that the inflow amount Q _mv per unit time derived from _m is used.

  FIG. 15 is an example of a diagram illustrating an overall outline of an apparatus for deriving the inflow amount evaluation formula described in the first to third embodiments.

  Input parameters such as the first inflow rate evaluation formula, parameters necessary for the first inflow rate evaluation formula, and repetition conditions are input to the input portion. Here, the parameters necessary for the first inflow rate evaluation formula are b, H, L, r, and C when the formula 1 to the formula 3 are used as the first inflow rate evaluation formula as in the first embodiment, for example. , G. The repetition condition is a condition for designating the method according to the first embodiment or the second embodiment, and the number of repetitions of the process of deriving the inflow evaluation formula by the same method as either the first embodiment or the second embodiment. It is a condition to do.

For example, when the process from the first inflow rate evaluation formula to the derivation of the second inflow rate evaluation formula is performed as in the first embodiment, the repetition condition is “1”. When the process from the inflow rate evaluation formula to the derivation of the second inflow rate evaluation formula is performed, the repetition condition is “2”. When performing the derivation of the inflow rate evaluation formula, the repetition condition is “11”, and the first inflow rate evaluation formula to the derivation of the fourth inflow rate evaluation formula are performed in the same manner as in the second embodiment. In this case, the repetition condition is “222”. In the input part, the input parameters are transmitted to a part for deriving an inflow per unit time, such as a Q _t derivation part or a Q _tn derivation part, and a control device.

In the Q _t derivation part, necessary parameters are substituted into the inflow rate evaluation formula transmitted from the input part to the first inflow rate evaluation formula transmitted from the input part, and the inflow rate Q _t per unit time is obtained. For example, when any one of Equation 1 to Equation 3 is used as the first inflow rate evaluation formula, necessary parameters among b, H, L, r, C, and g are substituted into any one of Equation 1 to Equation 3. This corresponds to obtaining the inflow per unit time. And transmitting the inflow Q _t per unit time calculated in the second inflow evaluation formula derived moiety.

  In the control device, the repetition condition transmitted from the input part is converted into a control signal. The control signal converted here includes the condition for deriving the inflow rate evaluation formula, that is, the method for deriving the inflow rate evaluation formula, and the number of repetitions of the process of deriving the inflow rate evaluation formula. The converted control signal is transmitted to an inflow rate evaluation formula deriving part such as a second inflow rate evaluation formula deriving part, a third inflow rate evaluation formula deriving part, and an Nth inflow rate evaluation formula deriving part.

In the inflow amount measuring device or flow rate measuring device measures the flow rate Q _m or flow velocity v _m per unit time. Here, it is assumed that the flow velocity v _m is converted into an inflow amount Q _mv per unit time by a device attached to the flow velocity measuring device. Note method of deriving the inflow Q _mv per unit time flow rate v _m measured by a flow rate measuring apparatus, as described in Example 4, the description thereof is omitted. Then, Q _m or Q _mv measured here is used as an inflow rate evaluation formula derivation part such as a second inflow rate evaluation formula derivation part, a third inflow rate evaluation formula derivation part, and an Nth inflow rate evaluation formula derivation part. Transmit to.

In the second inflow evaluation formula derived moiety, derived from the Q _m or Q _mv transmitted from the inflow amount measuring device or flow rate measuring device and transmitted Q _t from Q _t derivation portion second inflow evaluation formula To do. Since the method for deriving the second inflow rate evaluation formula from the first inflow rate evaluation formula has been described in the first and second embodiments, the description thereof is omitted. In the second inflow rate evaluation formula deriving part, the necessity for deriving the third inflow rate evaluation formula is determined according to the control signal transmitted from the control device. If it is determined that it is not necessary to derive the third inflow rate evaluation formula, the second inflow rate evaluation formula is transmitted to the output portion. This corresponds to the case where N is 2 in FIG. When it is determined that the third inflow rate evaluation formula needs to be derived, the second inflow rate evaluation formula is transmitted to the Q _tn derivation portion.

In the Q _tn derivation part, the parameters necessary for the inflow rate evaluation formula transmitted from the input part are substituted into the second inflow rate evaluation formula transmitted from the second inflow rate evaluation formula derivation unit, and the per unit time An inflow amount Q _tn is obtained. For example, when any one of Equation 8 to Equation 10 is used as the second inflow rate evaluation formula, necessary parameters of b, H, L, r, C, and g are substituted into any one of Equation 8 to Equation 10. This corresponds to obtaining the inflow per unit time. Then, the obtained inflow amount Q _tn per unit time is transmitted to the third inflow amount evaluation formula deriving part.

In the third inflow evaluation formula deriving portion, Q _tn deriving a third inflow evaluation formula and a Q _m or Q _mv transmitted from the inflow amount measuring device or flow rate measuring device and transmitted Q _tn from the outlet portion To do. Since the method for deriving the third inflow amount evaluation formula from the second inflow amount evaluation formula has been described in the third embodiment, the description thereof will be omitted. In the third inflow rate evaluation formula deriving part, the necessity of deriving the fourth inflow rate evaluation formula is determined according to the control signal transmitted from the control device. If it is determined that it is not necessary to derive the fourth inflow rate evaluation formula, the third inflow rate evaluation formula is transmitted to the output portion. This corresponds to the case where N is 3 in FIG. When it is determined that it is necessary to derive the fourth inflow rate evaluation formula, the third inflow rate evaluation formula is transmitted to the Q _tnn derivation portion.

  In the inflow rate evaluation formula deriving device of the present embodiment, the inflow rate deriving unit per unit time is obtained according to the control signal transmitted from the control device as described above until the target Nth inflow rate evaluation formula is obtained. The derivation of the inflow rate per unit time and the derivation of the inflow rate evaluation formula by the inflow rate evaluation formula derivation part are repeated. When the target Nth inflow rate evaluation formula is obtained, the Nth inflow rate evaluation formula is transmitted to the output portion.

  The output part outputs the Nth inflow rate evaluation formula transmitted from the Nth inflow rate evaluation formula deriving part as the inflow rate evaluation formula.

  Therefore, it is possible to derive a target Nth inflow evaluation formula by this apparatus.

  In this embodiment, a specific configuration example of the apparatus for deriving the inflow amount using the inflow amount evaluation formula derived in the fifth embodiment will be described. In addition, regarding the description of the inflow amount evaluation formula, since the description overlaps with the first to third embodiments, the description is omitted in the present embodiment.

  FIG. 16 is an example of a diagram showing an overall outline of an apparatus for deriving the inflow amount.

  In the input portion, input parameters, that is, an inflow amount evaluation formula derived from the inflow amount evaluation formula deriving device as in the fifth embodiment, parameters necessary for the inflow amount evaluation formula, inflow time, and the like are input. Here, the parameters necessary for the inflow rate evaluation formula correspond to b, H, L, r, C, and g, for example, when the inflow rate evaluation formula that inputs Formula 8 to Formula 10 shown in the first embodiment is input. . The inflow time is the time during which fluid flows into the building, and is the time between the inflow start time and the inflow end time. In the input part, the above input parameters are transmitted to the inflow amount deriving part.

In the inflow amount deriving portion, the inflow amount is derived from the inflow amount evaluation formula transmitted from the input portion, parameters necessary for the inflow amount evaluation formula, inflow time, and the like. Since the inflow amount Q is the amount of fluid flowing into the building during the inflow time, when the inflow start time is t ₁ and the inflow end time is t ₂ , the inflow amount Q _tg per unit time is changed from t ₁ to t Integrated to ₂ . Therefore, the inflow amount Q can be expressed as in Equation 30.

For example, when the inflow amount evaluation formula representing the inflow amount per unit time is Equation 8, the inflow amount Q can be expressed as Equation 31. When the inundation depth H is included in the integrand as shown in Equation 31, the inundation depth H is often a function of time t.

In the inflow amount deriving portion, the inflow amount derived in Expression 30 is transmitted to the output portion.

  The output portion outputs the inflow amount transmitted from the inflow amount deriving portion.

  Therefore, according to the present apparatus, the inflow amount can be derived using the inflow amount evaluation formula derived by the inflow amount evaluation formula deriving apparatus of the fifth embodiment.

  In the present embodiment, a method for evaluating the fragility of a device caused by inundation using the inflow amount derived in Embodiment 6 and a specific configuration example of the apparatus will be described.

  First, a method for evaluating the fragility of equipment caused by flooding, that is, a method for deriving the damage probability of equipment installed in a building will be described.

  FIG. 17 is an example of a flowchart showing a method for evaluating the fragility of a device due to flooding.

First, the inflow amount obtained in Example 6 and the area of the building are used as input data to determine the inundation depth in the building. Here, the inundation depth of the building is obtained by dividing the inflow amount by the area of the building as shown in Equation 32. In Equation 32, H _b is depth immersion in the building, Q is flow rate flowing into the building, S _b is the area of the building.

On the other hand, from the installation height of the equipment and the damage probability characteristic of the equipment, the damage probability of the equipment with respect to the inundation depth in the building is obtained. As an example, as shown in FIG. 18, the height from the floor of the building to the lower part of the device is H _b1 , the height from the floor of the building to the _MHb portion of the device is H _b2 , and the floor of the building When the height from the surface to the top of the equipment is H _b3 , the damage probability of the equipment when it is submerged to H _b1 is P ₁ , and the damage probability of the equipment when it is submersed to H _b2 is P ₂ , H _b3 of the equipment of the damage probability and P _3. In this example, the damage probability of the equipment with respect to the inundation depth in the building can be expressed as in Expression 33.

And the damage probability of the apparatus installed in the building can be derived by substituting the building inundation depth _Hb obtained in Expression 32 into the damage probability of the apparatus with respect to the inundation depth in the building as shown in Expression 33.

  Therefore, it is possible to evaluate the fragility of the equipment due to the flooding by the above method, that is, to derive the damage probability of the equipment installed in the building.

  Next, an apparatus for evaluating the fragility of equipment caused by water immersion will be described.

  FIG. 19 is an example of a diagram illustrating an overall outline of an apparatus that performs fragility evaluation of equipment caused by water immersion.

  Input parameters such as inflow, building area, equipment installation height, equipment damage probability characteristics, and the like are input to the input section. In the input portion, the inflow amount and the area of the building are transmitted to the inundation depth deriving portion, and the installation height and the damage probability characteristic of the device are transmitted to the damage probability deriving portion of the device with respect to the inundation depth.

  In the inundation depth deriving portion of the building, the inundation depth is obtained by dividing the inflow amount transmitted from the input portion by the area of the building transmitted from the input portion. Then, the found inundation depth is transmitted to the damage probability deriving part of the equipment.

  In the device damage probability deriving portion with respect to the inundation depth in the building, the damage probability of the device with respect to the inundation depth in the building is obtained from the installation height of the device transmitted from the input portion and the damage probability characteristic of the device. And the damage probability of the equipment with respect to the found building inundation depth is transmitted to the damage probability derivation part of the equipment.

  In the equipment damage probability derivation part, the equipment damage probability is calculated from the building inundation depth transmitted from the building inundation depth derivation part and the equipment damage probability against the building inundation depth transmitted from the equipment damage probability derivation part. The probability of damage is derived. Then, the obtained damage probability of the device is transmitted to the output portion.

  In the output part, the damage probability of the equipment transmitted from the damage probability derivation part of the equipment is output.

  Therefore, this apparatus makes it possible to evaluate the fragility of the equipment caused by the inundation using the inflow amount derived by the inflow amount deriving apparatus of Example 6 or the like, that is, to derive the damage probability of the equipment.

  Further, in this embodiment, in order to make the explanation easy to understand, the example of the fragility evaluation apparatus when the input data is the inflow amount derived in the sixth embodiment is shown. However, as shown in FIG. The inflow rate evaluation formula deriving device and the inflow rate deriving device described in the sixth embodiment are incorporated, and the input data is input to the first inflow rate evaluation formula, parameters necessary for the inflow rate evaluation formula, repetition conditions, inflow time, building This example also includes a fragility evaluation apparatus using the area, the installation height of the equipment, and the damage probability characteristics of the equipment.

  In this embodiment, a configuration example of a specific apparatus that performs a tsunami probabilistic risk evaluation (tsunami PRA) using the damage probability of the device derived in the seventh embodiment will be described.

  FIG. 21 is an example of a diagram showing an overall outline of an apparatus that performs tsunami PRA. Note that the fragility evaluation part in the present embodiment is assumed to be a fragility evaluation apparatus that incorporates an inflow amount evaluation formula deriving device and an inflow amount deriving device as shown in FIG.

  The input part includes input parameters, that is, a tsunami generation model, a tsunami propagation model, a first inflow evaluation formula, parameters necessary for an inflow evaluation formula other than the inundation depth in the vicinity of the building, repetition conditions, inflow time, Equipment installation height, equipment damage probability characteristics, building area, accident sequence model, etc. are input. The parameters required for the inflow rate evaluation formula other than the inundation depth outside the building near the building are, for example, b, L, r, C, and g when the formula 1 to formula 3 in Example 1 are used as the inflow rate evaluation formula. Equivalent to. The tsunami generation model, tsunami propagation model, and accident sequence model are a tsunami source model, a model that expresses how a tsunami propagates from a tsunami occurrence point, and an accident sequence model, respectively.

  Since the parameters transmitted from the other input parts and the parameters transmitted from the tsunami hazard part have been described in the fifth to seventh embodiments, the description thereof is omitted. In the input part, the tsunami generation model and the tsunami propagation model are transmitted to the tsunami hazard evaluation part, the parameters required for the first inflow evaluation formula, the inflow evaluation formula other than the inundation depth in the vicinity of the building, and the repetition The conditions, inflow time, equipment installation height, equipment damage probability characteristics, and building area are transmitted to the fragility evaluation part, and the accident sequence model is transmitted to the accident sequence evaluation part.

  In the tsunami hazard evaluation part, the inundation depth near the building is derived from the tsunami generation model and tsunami propagation model transmitted from the input part. As an example of the method for deriving the inundation depth in the vicinity of the building, a tsunami hazard curve of the offshore tsunami is created from the tsunami generation model and tsunami propagation model, and the tsunami run-up analysis etc. There is a method to derive the inundation depth. In the tsunami hazard evaluation part, the inundation depth in the vicinity of the building is transmitted to the fragility evaluation part.

  In the fragility evaluation part, the first inflow rate evaluation formula transmitted from the input part, the parameters required for the inflow rate evaluation formula other than the inundation depth outside the building near the building, the repetition conditions, the inflow time, the installation height of the equipment, The damage probability of the equipment is derived from the damage probability characteristics of the equipment, the area of the building, and the inundation depth in the vicinity of the building transmitted from the tsunami hazard. The device damage probability is transmitted to the accident sequence evaluation part.

  In the accident sequence evaluation part, the core damage frequency is derived from the accident sequence evaluation model transmitted from the input part and the damage probability of the equipment transmitted from the fragility evaluation part. The derived core damage frequency is transmitted to the output portion.

  In the output part, the core damage frequency transmitted from the accident sequence evaluation part is output.

  Therefore, this apparatus makes it possible to derive, for example, the core damage frequency of a nuclear power plant reactor using the damage probability of equipment derived by the fragility evaluation apparatus of the seventh embodiment.

  In this embodiment, the fragility evaluation part is a fragility evaluation apparatus that incorporates a device for deriving an inflow amount evaluation device and a device for deriving an inflow amount as shown in FIG. 20. However, as shown in FIG. A device divided into a device for deriving the quantity evaluation formula and a device for deriving the inflow amount is also included in this embodiment.

  The target for evaluating or measuring the inflow per unit time is not limited to the building model as shown in each embodiment. For example, a model such as an aperture plate provided in a water channel may be used.

  The present invention is not limited to the above-described embodiments, and includes various modifications. For example, the above-described embodiments have been described in detail for easy understanding of the present invention, and are not necessarily limited to those having all the configurations described. Further, a part of the configuration of one embodiment can be replaced with the configuration of another embodiment, and the configuration of another embodiment can be added to the configuration of one embodiment. Further, it is possible to add, delete, and replace other configurations for a part of the configuration of each embodiment.

DESCRIPTION OF SYMBOLS 10 ... Building 11 ... Inflow measuring device 12 ... Equipment installed in building 21 ... Inundation depth measuring device N ... Integer more than 2 b ... Horizontal length of building opening when shape of building opening is square d … Vertical length of the building opening when the shape of the building opening is square H… depth of flooding outside the building near the building L… height to the bottom of the building opening r… building when the shape of the building opening is circular the radius of the aperture C ... flow coefficient g ... gravitational acceleration Q ... inflow Q _{tg ...} per unit time flow rate Q t _... first inflow amount per unit time obtained from the inflow amount evaluation formula Q _{t1 ...} number 1 like Inflow rate per unit time obtained from the first inflow rate evaluation formula Q _t2 ... Inflow rate per unit time obtained from the first inflow rate evaluation formula as shown in Equation 2 Q _t3 ... Unit time obtained from 1 inflow rate evaluation formula Per inflow Q _{tn ...} inflow per unit time obtained from the second inflow evaluation formula such as the second inflow evaluation inflow amount per unit time obtained from the equation Q _{tn1 ...} number 8 Q _tn2 ... Inflow rate per unit time obtained from the second inflow rate evaluation formula as shown in Equation 9 Q _tn3 ... Inflow rate per unit time as obtained from the second inflow rate evaluation formula as shown in Equation 10 Q _tn4 ... Inflow rate per unit time obtained from the second inflow rate evaluation formula like Q _tn5 ... Inflow rate per unit time obtained from the second inflow rate evaluation formula like Formula 16 Q _tn6 ... such third inflow evaluation such as a second inflow evaluation inflow inflow Q _{TNN ...} third per unit time obtained from the inflow evaluation formula per unit time obtained from the equation _Q tnn1 _... number 22 Simply obtained from the formula Third inflow third per unit time obtained from the inflow evaluation formula such as the evaluation amount of inflow per unit time obtained from the equation _Q tnn3 _... number 24, such as inflow _Q tnn2 _... number 23 per hour inflow Q m _... inflow per unit derived time by the use of inflow Q _{mv ...} flow rate measuring device velocity v _m measured by the per unit measured time by the inflow amount measuring apparatus 11 R ... Q _t and Q _m of the R ₁ ... Q _t1 and Q _m ratio R ₂ ... Q _t2 and Q _m ratio R ₃ ... Q _t3 and Q _m ratio R _n ... Q _tn and Q _m ratio R _n1 ... Q _tn1 and Q _m ratio R _n2 ... Q _tn2 and Q _m ratio R _n3 ... Q _tn3 and Q _m ratio R _nn ... Q _tnn and Q _m ratio R _nn1 ... Q _tnn1 and Q _m R _nn2 ... Q _tnn2 to Q _m ratio R _nn3 ... _Ratio of Q _tnn3 and Q _m D: Difference between Q _t and Q _m D ₁ ... Difference between Q _t1 and Q _m D ₂ ... Difference between Q _t2 and Q _m D ₃ ... Difference between Q _t3 and Q _m the difference D _n ... _{Q tn} and the difference between _{Q m} D _n1 ... difference between the difference D _n3 ... _{Q tn6} and _{Q m} of the difference D _n2 ... _{Q tn5} and _{Q m} of _{Q tn4} and _{Q m} f ... H and R approximate curve f indicating the relationship between the approximate curve f 1 _... H and R ₁ approximate curve representing the relation between f 2 _... H and approximate curve f representing the relationship between the R ₂ 3 _... H and R ₃ representing a relationship between _n : an approximate curve representing the relationship between H and R _n f _n1 ... an approximate curve representing the relationship between H and R _n1 f _n2 ... an approximate curve representing the relationship between H and R _n2 f _n3 ... between H and R _n3 represents the relationship between the approximation curve h 2 _... H and D ₂ representing the relationship between the approximate curve h 1 _... H and D ₁ representing a relation between the approximate curve h ... H and D representing the relationship Similar curves h 3 _... H and D ₃ flow velocity the flow velocity distribution U s _... fluid when approximate curve U ... fluid passes through the building aperture is determined by calculation as it passes through the building aperture which represents the relationship between the distribution v _m ... Flow velocity measured by the flow velocity measuring device v _mH ... Flow velocity measured at the position where y is H v _mL ... Flow velocity measured at the position where y is L v ₀ ... Constant with velocity dimension v ₁ ... y with velocity dimension Factor t: Time t ₁ ... Inflow start time t ₂ ... Inflow end time H _b1 ... Height from the floor in the building to the lower part of the equipment H _b2 ... Height from the floor in the building to the _MHb portion of the equipment Height H _b3 ... Height from the floor in the building to the top of the equipment M _Hb ... Equipment position where the equipment damage probability changes P ₁ ... Equipment damage probability when inundated to H _b1 P ₂ ... _Water infiltrated to H _b2 damage to the equipment at the time of the probability P ₃ ... flooded up to _{H b3} Equipment damage probability of the time was.

Claims (14)

A method for deriving an inflow rate evaluation formula for calculating an inflow rate per unit time of fluid into a building,
When the inflow rate evaluation formula capable of calculating the inflow rate per unit time from the parameters related to the inflow rate evaluation formula and the inundation depth outside the building near the building is the first inflow rate evaluation formula,
Using at least one parameter among the width of the building opening, the depth of inundation outside the building near the building, the height to the lower part of the building opening, the radius of the building opening, the flow coefficient, and the gravitational acceleration, Calculate the inflow per unit time by the first inflow rate evaluation formula,
From the relationship between the inflow per unit time measured by the inflow measuring device installed in the building opening or in the vicinity of the building opening and the inflow per unit time calculated by the first inflow evaluation formula 2. A method for deriving an inflow rate evaluation formula, wherein the inflow rate evaluation formula is derived. In the inflow amount evaluation formula deriving method according to claim 1,
Calculating the ratio between the inflow per unit time calculated by the first inflow rate evaluation formula and the inflow per unit time measured by the inflow rate measuring device;
Calculate an approximate curve indicating the relationship between the ratio and the inundation depth in the vicinity of the building,
An inflow rate evaluation formula derivation method, wherein the second inflow rate evaluation formula is derived from a ratio between the inflow rate per unit time calculated by the first inflow rate evaluation formula and the approximate curve. In the inflow amount evaluation formula deriving method according to claim 1,
Calculating the difference between the inflow per unit time calculated by the first inflow rate evaluation formula and the inflow per unit time measured by the inflow rate measuring device;
Calculate an approximate curve indicating the relationship between the difference and the depth of inundation near the building,
An inflow rate evaluation formula deriving method, wherein the second inflow rate evaluation formula is derived from a difference between the inflow rate per unit time calculated by the first inflow rate evaluation formula and the approximate curve. In the inflow amount evaluation formula deriving method according to any one of claims 1 to 3,
An inflow rate evaluation formula deriving method characterized in that the inflow rate evaluation formula deriving method is sequentially repeated according to the designated number of times to derive a new inflow rate evaluation formula. A method for deriving an inflow rate evaluation formula for calculating an inflow rate per unit time of fluid into a building,
When the inflow rate evaluation formula capable of calculating the inflow rate per unit time from the parameters related to the inflow rate evaluation formula and the inundation depth outside the building near the building is the first inflow rate evaluation formula,
Using at least one parameter among the width of the building opening, the depth of inundation outside the building near the building, the height to the lower part of the building opening, the radius of the building opening, the flow coefficient, and the gravitational acceleration, Calculate the inflow per unit time by the first inflow rate evaluation formula,
Calculate the flow velocity distribution of the fluid based on the shape and size of the building opening, and the flow velocity of the fluid measured by a flow velocity measuring device,
Based on the calculated flow velocity distribution, calculate the inflow per unit time,
The second inflow rate evaluation formula is derived from the relationship between the inflow rate per unit time calculated by the first inflow rate evaluation formula and the inflow rate per unit time calculated based on the flow velocity distribution. Method for deriving inflow rate evaluation formula. An inflow rate derivation method using the inflow rate evaluation formula derived by the inflow rate evaluation formula derivation method according to any one of claims 1 to 5,
Using at least one parameter among the width of the building opening, the depth of inundation outside the building near the building, the height to the lower part of the building opening, the radius of the building opening, the flow coefficient, and the gravitational acceleration, An inflow amount derivation method, wherein the inflow amount is derived from an integral value in a time from the start of inflow of fluid to the end of inflow according to the derived inflow amount evaluation formula. A method for evaluating the fragility of a device using the inflow amount derived in claim 6,
Deriving the inundation depth of the building from the derived inflow amount and the area of the building,
From the installation height of the equipment in the building and the damage probability characteristics of the equipment, calculate the damage probability of the equipment with respect to the inundation depth of the building,
A device fragility evaluation method, wherein the device damage probability is derived based on the inundation depth of the building and the damage probability of the device with respect to the inundation depth of the building.   A tsunami probabilistic risk evaluation method for performing a tsunami probabilistic risk evaluation based on the damage probability of the device calculated in claim 7. An input unit for inputting parameters necessary for the first inflow rate evaluation formula and the first inflow rate evaluation formula, and repetition conditions;
An inflow amount deriving unit per unit time for calculating an inflow amount per unit time using the first inflow amount evaluation formula and the parameter;
At least one of an inflow measuring device that measures the inflow per unit time and a flow velocity measuring device that measures the flow velocity; and
Based on the inflow per unit time calculated by the inflow amount deriving unit, the inflow per unit time measured by the inflow amount measuring device, or the inflow per unit time calculated from the flow velocity measured by the flow velocity measuring device An inflow rate evaluation formula deriving unit for deriving a second inflow rate evaluation formula;
A control unit for controlling the inflow rate evaluation formula deriving unit based on the repetition condition;
With
The inflow amount evaluation formula deriving unit includes an inflow amount per unit time measured by the inflow amount measuring device or an inflow amount per unit time calculated based on a flow velocity measured by the flow velocity measuring device, and the first inflow amount. A second inflow rate evaluation formula is derived from the relationship between the evaluation formula and the inflow rate per unit time calculated using the parameters,
An inflow rate evaluation formula deriving device characterized in that, in the repetition condition, the number of processes that are sequentially repeated by the inflow rate evaluation formula deriving unit is designated. In the inflow amount evaluation formula deriving device according to claim 9,
Calculated based on the inflow rate per unit time calculated using the first inflow rate evaluation formula and the parameter, and the inflow rate per unit time measured by the inflow rate measuring device or the flow rate measured by the flow rate measuring device Calculate the ratio of the inflow per unit time
Calculate an approximate curve indicating the relationship between the ratio and the inundation depth in the vicinity of the building,
The inflow rate evaluation formula, wherein the second inflow rate evaluation formula is derived from the ratio between the inflow rate per unit time calculated using the first inflow rate evaluation formula and the parameter and the approximate curve. Derivation device. In the inflow amount evaluation formula deriving device according to claim 9,
Calculated based on the inflow rate per unit time calculated using the first inflow rate evaluation formula and the parameter, and the inflow rate per unit time measured by the inflow rate measuring device or the flow rate measured by the flow rate measuring device Calculate the difference from the inflow per unit time
Calculate an approximate curve indicating the relationship between the difference and the depth of inundation near the building,
The second inflow rate evaluation formula is derived from the difference between the inflow rate per unit time calculated using the first inflow rate evaluation formula and the parameter and the approximate curve. Derivation device. An inflow amount deriving device comprising the inflow amount evaluation formula deriving device according to any one of claims 9 to 11,
Using at least one parameter among the width of the building opening, the depth of inundation outside the building near the building, the height to the lower part of the building opening, the radius of the building opening, the flow coefficient, and the gravitational acceleration, An inflow rate deriving device, characterized in that an inflow rate is derived from an integral value in a time from the start of inflow of fluid to the end of inflow according to the derived inflow rate evaluation formula. A fragility evaluation device for equipment comprising the inflow amount derivation device according to claim 12,
Deriving the inundation depth of the building from the derived inflow amount and the area of the building,
From the installation height of the equipment in the building and the damage probability characteristics of the equipment, calculate the damage probability of the equipment with respect to the inundation depth of the building,
A device fragility evaluation apparatus that derives a damage probability of a device in a building based on the inundation depth of the building and a damage probability of the device with respect to the inundation depth of the building.   A tsunami probabilistic risk evaluation apparatus that performs a tsunami probabilistic risk evaluation based on the damage probability of the device calculated in claim 13.

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