JP2006144407A - Water supply cutoff pipe line searching method - Google Patents

Water supply cutoff pipe line searching method Download PDF

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JP2006144407A
JP2006144407A JP2004336754A JP2004336754A JP2006144407A JP 2006144407 A JP2006144407 A JP 2006144407A JP 2004336754 A JP2004336754 A JP 2004336754A JP 2004336754 A JP2004336754 A JP 2004336754A JP 2006144407 A JP2006144407 A JP 2006144407A
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water
pipe
state
pipes
diameter
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JP4927327B2 (en
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Masataka Ikeda
雅孝 池田
Hiroaki Goto
浩章 後藤
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Fuji Subsurface Information Ltd
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Fuji Subsurface Information Ltd
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Abstract

<P>PROBLEM TO BE SOLVED: To provide a water supply cutoff pipe line searching method capable of more realistically searching a water supply cutoff section of a water service pipe line by taking a physical connecting state of the water service pipe line but also hydraulic effect into consideration. <P>SOLUTION: First of all, water service pipe lines 14 and 18 not wider than a predetermined caliber forming a water service pipe line network are once excluded, it is confirmed whether or not other water service pipe lines are connected to the water service pipe lines in a circulation state, and the water supply cutoff state of the water service pipe line is primarily searched. Then, the water service pipe lines 14 and 18 not wider than the predetermined caliber once excluded are again revived, and it is confirmed whether or not the water service pipe lines 14 and 18 not wider than the predetermined caliber are connected to the water service pipe lines in a circulation state to finally search the water supply cutoff state of the water service pipe line. <P>COPYRIGHT: (C)2006,JPO&NCIPI

Description

本発明は、破損管路の修復工事、震災による管路破損等によって断水すると予想される水道管路の区間を検索し、修復工事、震災対策時等において有益な情報を得るための断水管路検索方法に関する。   The present invention searches for sections of water pipelines that are expected to be shut down due to repair work on damaged pipes, damage to pipes due to the earthquake, etc., and obtains useful information during repair work, earthquake disaster countermeasures, etc. The present invention relates to a water pipeline search method.

破損管路の修復工事、震災による管路破損等によって断水すると予想される水道管路の区間を特定することができれば、修復工事時にあっては、周辺住民に断水を予知させることができ、震災対策時にあっては、周辺住民に迅速な給水を行うことができる。
又、コンピュータによるシミュレーションによって、水道管路の配置、仕切弁の位置等を適切に設定することができる。 If it is possible to identify the section of the water pipeline that is expected to be shut off due to damage to the damaged pipeline, damage to the pipeline due to the earthquake, etc., it will be possible for residents to foresee the water outage at the time of the restoration work. In case of earthquake disaster countermeasures, it is possible to quickly supply water to neighboring residents.
Moreover, the arrangement of water pipes, the position of the gate valve, and the like can be appropriately set by computer simulation.

そこで、従来、断水すると予想される水道管路の区間を検索する方法が種々提案されているが、例えば、図９に示すように、配水地１０１、水道管路１１１、１１２，１１３，１１４，１１５，１１６，１１７，１１８、仕切弁１２１，１２２ａ，１２２ｂ，１２３ａ，１２３ｂ，１２４ａ，１２４ｂ，１２５ａ，１２５ｂ，１２６ａ，１２６ｂ，１２７等を表示した地図を使用する方法が知られている。この方法では、水道管路１１３に断水箇所１３１を設定し、水道管路１１３の両端部の仕切弁１２２ａ，１２２ｂを閉止させた場合に、水が流通しない水道管路を断水すると予想される区間と判定するものであり、この場合には、水道管路１１３のみが断水する区間と判定される。   Therefore, various methods have been proposed in the past for searching for sections of water pipes that are expected to be shut down. For example, as shown in FIG. 9, the water distribution area 101, water pipes 111, 112, 113, 114, 115, 116, 117, 118, gate valves 121, 122a, 122b, 123a, 123b, 124a, 124b, 125a, 125b, 126a, 126b, 127, etc. are known. In this method, when a water cutoff point 131 is set in the water pipe 113 and the gate valves 122a and 122b at both ends of the water pipe 113 are closed, the water pipe where water does not flow is expected to be cut off. In this case, it is determined that only the water pipe 113 is a section where water is cut off.

又、水道管路Ｐ１，Ｐ２，・・、仕切弁Ｖ１，Ｖ２，・・・等を電子地図２上に記載すると共に、各水道管路における水の流れ方向をベクトルデータとして認識させる方法も提案されている（特許文献１参照）。この方法では、所定の仕切弁に対する閉止信号を入力した場合に、ベクトルデータが方向性のない単なる線分となる水道管路をコンピュータで検索し、該当した水道管路を断水すると予想される区間と判定し、表示装置に表示するものである。   In addition, the water pipes P1, P2,..., Gate valves V1, V2,... Are described on the electronic map 2, and a method for recognizing the water flow direction in each water pipe as vector data is also proposed. (See Patent Document 1). In this method, when a closing signal for a predetermined gate valve is input, the computer data is searched for a water pipe line in which the vector data is a simple line segment having no directionality, and the corresponding water pipe line is expected to be shut off. And display on the display device.

特開２００２−２８８２８１号公報JP 2002-288281 A

従来の断水管路検索方法にあっては、水道管路の口径を問題とせず、水道管路が物理的に接続されてさえいれば、その水道管路は断水する区間とは判定されない。   In the conventional water drainage pipe searching method, the diameter of the water pipe is not a problem, and if the water pipe is physically connected, the water pipe is not determined as a section where water is cut off.

しかし、実際には、断水箇所、閉止される仕切弁の位置によって、水の流通経路が変更されたり、減少したりして、給水ができなくなる区間が発生する。この主たる原因は、必要給水量に対して、水の流通経路となる水道管路の口径が小さいため、水頭損失による水圧低下が発生することによる。   However, in practice, depending on the location of the water shutoff and the position of the gate valve to be closed, the water circulation route is changed or decreased, and a section where water supply cannot be performed occurs. The main cause is that the water pressure drop due to the head loss occurs because the diameter of the water pipe serving as a water distribution path is smaller than the required water supply amount.

例えば、前記図９において、水道管路１１１を口径２００ｍｍ、水道管路１１２，１１３を口径１５０ｍｍの主要管路、水道管路１１５，１１６，１１７を口径１００ｍｍ、水道管路１１４，１１８を口径７５ｍｍの分岐管路とする。ここで、水道管路１１３に断水箇所１３１を設定し、仕切弁１２２ａ，１２２ｂを閉止させた場合には、実際には、小口径の水道管路１１４における流量が増大し、損失水頭が増大するため、水道管路１１５，１１６，１１７，１１８において有効水頭が十分に保持されず、結局、給水不良となり、断水に近い状態となってしまう。   For example, in FIG. 9, the water pipe 111 has a diameter of 200 mm, the water pipes 112 and 113 have a main diameter of 150 mm, the water pipes 115, 116 and 117 have a diameter of 100 mm, and the water pipes 114 and 118 have a diameter of 75 mm. This is a branch line. Here, when the water cutoff point 131 is set in the water pipe 113 and the gate valves 122a and 122b are closed, the flow rate in the small-diameter water pipe 114 is actually increased and the head loss is increased. For this reason, the effective water head is not sufficiently held in the water pipe lines 115, 116, 117, and 118, eventually resulting in poor water supply and a state close to water outage.

よって、従来の断水管路検索方法にあっては、水道管路における水理的効果を考慮していないために、水道管路の断水区間を正確に判定、検索することはできなかった。   Therefore, in the conventional water break pipeline search method, since the hydraulic effect in the water pipeline is not taken into account, the water cut section of the water pipeline cannot be accurately determined and searched.

本発明は、かかる従来の問題点に鑑みて為されたものであって、水道管路の物理的接続状態のみならず、水道管路における水理的効果をも考慮して、水道管路の断水区間をより現実的に判定、検索することができる断水管路検索方法を提供することを目的とする。   The present invention has been made in view of such conventional problems, and considering not only the physical connection state of the water pipe, but also the hydraulic effect in the water pipe, An object of the present invention is to provide a method for searching for a water break pipe that can more realistically determine and search for a water cut section.

上記目的を達成するため、本発明の断水管路検索方法は、先ず、水道管路網を構成する所定口径以下の管路を一旦除外し、他の管路が流通状態にある管路と接続しているか確認して、一次的に管路の断水状態を検索し、次に、一旦除外した所定口径以下の管路を再度復活させ、所定口径以下の管路が流通状態にある管路と接続しているか確認して、最終的に管路の断水状態を検索することを特徴とする。   In order to achieve the above-described object, the method for searching for a cut-off pipeline according to the present invention first excludes a pipeline having a predetermined diameter or less that constitutes a water pipeline network, and connects to a pipeline in which other pipelines are in circulation. First, search the pipeline for water breakage, then re-establish the pipes below the predetermined diameter once removed, and the pipes below the predetermined diameter are in circulation It is characterized by confirming whether it is connected and finally searching for the water outage state of the pipeline.

ここで、一旦除外する管路の口径は、水道管路網を構成する主要管路の口径、断水箇所が存在する管路の口径に対応して設定する。   Here, the diameter of the pipe line to be temporarily excluded is set in correspondence with the diameter of the main pipe line constituting the water pipe network and the diameter of the pipe line where the water shutoff location exists.

断水管路検索方法の各工程を表示装置に表示しつつ実施すれば、断水管路検索方法の進行状況が明確となるので好ましい。   It is preferable to carry out the steps of the water cutoff pipe search method while displaying them on the display device because the progress of the water pipe search method becomes clear.

断水状態となる管路と断水状態とならない管路とを識別するのが好ましく、例えば、管路を表示する線分の幅員によって、又は、管路を表示する線分の色彩によって識別してもよい。   It is preferable to discriminate between a pipeline that is in a cut-off state and a pipeline that is not in a cut-off state, for example, by identifying the width of a line segment that displays a pipeline or the color of a line segment that displays a pipeline Good.

本発明の断水管路検索方法について、以下、図面を参照して詳細に説明する。
図１及び図２は本発明の断水管路検索方法の各工程を示す説明図であり、図３は本発明の断水管路検索方法を実施する際のフローチャートの一例である。 Hereinafter, a method for searching for a water break pipe of the present invention will be described in detail with reference to the drawings.
FIGS. 1 and 2 are explanatory views showing the steps of the water break pipe searching method of the present invention, and FIG. 3 is an example of a flowchart for carrying out the water break pipe searching method of the present invention.

図１（Ａ）は、水道管路網を模式的に表示した図であって、１は配水池、１１、１２，１３，１４，１５，１６，１７，１８は水道管路、２１，２２ａ，２２ｂ，２３ａ，２３ｂ，２４ａ，２４ｂ，２５ａ，２５ｂ，２６ａ，２６ｂ，２７は仕切弁、３１は断水箇所を示す。
又、水道管路１１は口径２００ｍｍ、水道管路１２，１３は口径１５０ｍｍの主要管路とし、水道管路１５，１６，１７は口径１００ｍｍ、水道管路１４，１８は口径７５ｍｍの分岐管路とする。 FIG. 1 (A) is a diagram schematically showing a water pipe network, where 1 is a distribution reservoir, 11, 12, 13, 14, 15, 16, 17, 18 are water pipes, 21, 22a. , 22b, 23a, 23b, 24a, 24b, 25a, 25b, 26a, 26b, and 27 are gate valves, and 31 is a water cutoff point.
The water pipe 11 is a main pipe having a diameter of 200 mm, the water pipes 12 and 13 are main pipes having a diameter of 150 mm, the water pipes 15, 16, and 17 are 100 mm in diameter, and the water pipes 14 and 18 are branch pipes having a diameter of 75 mm. And

先ず、小口径の分岐管路１４，１８を除外すれば、図１（Ｂ）に示すような水道管路網が図示される。
ここで、大口径の主要管路１３に断水箇所３１を設定し、仕切弁２２ａ，２２ｂを閉止させた場合には、主要管路１３のみならず、分岐管路１５，１６，１７も断水状態となる。
そして、断水状態となる管路を太線で示せば、図１（Ｃ）に示すような水道管路網が図示される。 First, if the small-diameter branch pipes 14 and 18 are excluded, a water pipe network as shown in FIG. 1B is illustrated.
Here, when the water cut off point 31 is set in the main pipe 13 having a large diameter and the gate valves 22a and 22b are closed, not only the main pipe 13 but also the branch pipes 15, 16, and 17 are in a water cut state. It becomes.
And if the pipe line used as a water cutoff state is shown with a thick line, a water pipe network as shown in FIG.1 (C) will be illustrated.

次に、除外した小口径の分岐管路１４，１８を復活させれば、図２（Ａ）に示すような水道管路網が図示される。
ここで、分岐管路１４，１８に流通状態である管路が接続されているか否かを見て、分岐管路１４は流通状態、分岐管路１８は断水状態であると判定する。
そして、断水状態となる管路を太線で示せば、最終的に、図２（Ｂ）に示すような水道管路網が図示される。 Next, if the excluded small-diameter branch pipes 14 and 18 are restored, a water pipe network as shown in FIG. 2A is illustrated.
Here, it is determined whether or not the branch pipes 14 and 18 are connected to the branch pipes 14 and 18, and it is determined that the branch pipes 14 are in the flow state and the branch pipes 18 are in the water cut off state.
And if the pipe line used as a water cutoff state is shown with a thick line, finally, a water pipe network as shown in FIG. 2 (B) will be shown.

以上の如く、水道管路網を構成する水道管路の口径を考慮して、一旦、小口径の分岐管路を除外して断水状態を判定し、再度、小口径の分岐管路を復活させて断水状態を判定するという二段階の断水管路検索を実施すれば、水理的効果を考慮したより現実的な断水管路検索を実施することができる。   As described above, taking into consideration the diameter of the water pipes that make up the water pipe network, once the small diameter branch pipes are excluded, the water shut-off state is judged, and the small diameter branch pipes are restored again. If a two-stage water pipe search is performed to determine the water outage state, a more realistic water pipe search in consideration of the hydraulic effect can be performed.

断水状態となる管路を明示するために太線表示したが、断水状態となる管路を赤色表示し、流通状態となる管路を青色表示して、両者を識別するようにしてもよく、これによって、両者を視覚的に簡単に識別することができる。   In order to clearly indicate the pipeline that will be in a water-stopped state, the line is displayed in bold lines. However, the pipeline that is in a water-stopped state may be displayed in red, and the pipeline that will be in a flow-through state may be displayed in blue to identify both. Thus, it is possible to easily identify both visually.

管網水理計算による有効性確認
次に、本発明の断水管路検索方法の有効性を確認するため、図１（Ａ）の如き水道管路網の模式図に適宜数値を適用した図４に基づいて、管網水理計算を実行した。ここで、水道管路の各区間には給水人口、管路延長、管路口径を付記した。 Confirmation of effectiveness by pipe network hydraulic calculation Next, in order to confirm the effectiveness of the method for searching for a water break pipe of the present invention, FIG. 4 is applied to a schematic diagram of a water pipe network as shown in FIG. Based on the results, pipe network hydraulic calculation was performed. Here, the water supply population, pipeline extension, and pipeline diameter are added to each section of the water pipeline.

図４に示す水道管路網の模式図において、断水箇所がなく、通常に流通している場合の
管網水理計算結果を図５に示した。ここで、水道管路の各区間には算定流量を付記し、各仕切弁には算定有効水頭を付記した。
図５を参照すれば、水道管路の全区間において算定有効水頭が１５ｍ以上あり、給水が可能となっていることが理解される。 In the schematic diagram of the water pipe network shown in FIG. 4, the pipe network hydraulic calculation result in the case where there is no water cut-off and is normally distributed is shown in FIG. 5. Here, the calculated flow rate is added to each section of the water pipe, and the calculated effective head is added to each gate valve.
Referring to FIG. 5, it is understood that there is a calculated effective head of 15 m or more in all sections of the water pipe, and water supply is possible.

図４に示す水道管路網の模式図において、仕切弁２２ｃ，２２ｄを閉止させ、水道管路１３を断水状態とした場合の管網水理計算結果を図６に示した。ここで、閉止した仕切弁は黒色で示してある。
図６を参照すれば、水道管路１５，１６，１７，１８において水頭損失が大きく、有効水頭が十分に確保されておらず、水理的には断水状態となっていることが理解される。 In the schematic diagram of the water pipe network shown in FIG. 4, the pipe network hydraulic calculation results when the gate valves 22 c and 22 d are closed and the water pipe 13 is in a water shut-off state are shown in FIG. 6. Here, the closed gate valve is shown in black.
Referring to FIG. 6, it is understood that the water head loss is large in the water pipelines 15, 16, 17, and 18, the effective water head is not sufficiently secured, and is hydraulically cut off. .

上記管網水理計算結果から、本発明の断水管路検索方法によれば、簡単な処理、判定を実行するものでありながら、水理的効果を考慮したより現実的な断水管路検索を実施できることが分かった。   From the pipe network hydraulic calculation result, according to the water cutoff pipe search method of the present invention, a more realistic water pipe search in consideration of the hydraulic effect is performed while performing simple processing and determination. It turns out that it can carry out.

次に、本発明の断水管路検索方法に基づいたソフトウェアを作成し、コンピュータを使用して本発明の断水管路検索方法を実施した。   Next, software based on the method for searching for water breakage pipes of the present invention was created, and the method for searching for water breakage pipes of the present invention was implemented using a computer.

［比較例１］
水道管路網を構成する水道管路の口径を考慮せず、水道管路の物理的接続状態のみを考慮して、すなわち、従来の断水管路検索方法を実施して、断水状態を判定し、断水管路検索を実施した結果を図７に示す。
図７を参照すれば、水道管路５１のみが断水しているという結果が図示されているのが分かる。 [Comparative Example 1]
Without considering the diameters of the water pipelines that make up the water pipeline network, consider only the physical connection status of the water pipelines, that is, carry out the conventional water pipeline search method to determine the water cutoff status. FIG. 7 shows the results of the water line search.
Referring to FIG. 7, it can be seen that the result is that only the water pipe 51 is shut off.

［実施例１］
水道管路網を構成する水道管路の口径を考慮して、水道管路における水理的作用をも考慮して、すなわち、本発明の断水管路検索方法を実施して、断水状態を判定し、断水管路検索を実施した結果を図８に示す。
図８を参照すれば、水道管路５１のみならず、水道管路５２，５３，５４，５５，５６も断水しているという結果が図示されているのが分かる。 [Example 1]
Considering the diameter of the water pipes that make up the water pipe network, considering the hydraulic action in the water pipes, that is, carrying out the water shutoff pipe search method of the present invention to determine the water shutoff state FIG. 8 shows the result of the water line search.
Referring to FIG. 8, it can be seen that not only the water pipeline 51 but also the water pipelines 52, 53, 54, 55 and 56 are shut off.

図７と図８とを対比してみれば、本発明の断水管路検索方法によれば、水道管路の物理的接続状態のみならず、水理的効果を考慮したより現実的な断水管路検索を実施できることが理解される。   FIG. 7 and FIG. 8 are compared. According to the method for searching for water breakage pipes according to the present invention, not only the physical connection state of water pipes but also more realistic water break pipes considering the hydraulic effect. It is understood that a route search can be performed.

尚、本発明の断水管路検索方法をコンピュータを使用して実施する場合には、配水地、水道管路、仕切弁等の位置情報、水道管路網の構成情報、水道管路の口径情報等を予めデータベース内に格納しておき、ソフトウェアを実行する過程で、断水箇所、除外する管路口径を適宜指定できるようにするのが好ましい。   In addition, when carrying out the water break pipeline search method of the present invention using a computer, the location information of water distribution areas, water pipelines, gate valves, etc., water pipeline network configuration information, water pipeline diameter information Are preferably stored in the database in advance, and in the process of executing the software, it is possible to appropriately specify the location of the water cutoff and the pipe diameter to be excluded.

又、ソフトウェアを実行する過程で、所定口径以下の管路を除外した後の管路網、一次的に断水検索した結果、所定口径以下の管路を復活させた後の管路網、最終的に断水検索した結果等をディスプレイ等の表示装置に一々表示させることなく、最終的に断水検索した結果のみを表示させてもよい。   In addition, in the process of executing the software, the pipeline network after excluding pipelines with a predetermined diameter or less, as a result of a primary water break search, the pipeline network after restoring pipelines with a predetermined diameter or less, finally Instead of displaying the result of the water stop search in a display device such as a display, only the result of the water stop search may be displayed.

本発明の断水管路検索方法の各工程を示す説明図であり、（Ａ）は水道管路網を模式的に表示した図、（Ｂ）は小口径の分岐管路を除外した図、（Ｃ）は一次的に断水状態を示す図である。BRIEF DESCRIPTION OF THE DRAWINGS It is explanatory drawing which shows each process of the water break pipe search method of this invention, (A) is the figure which displayed the water pipe network typically, (B) is the figure which excluded the branch pipe of small diameter, ( (C) is a figure which shows a water cutoff state primarily. 本発明の断水管路検索方法の各工程を示す説明図であり、（Ａ）は小口径の分岐管路を復活させた図、（Ｂ）は最終的に断水状態を示す図である。It is explanatory drawing which shows each process of the water-stop pipeline search method of this invention, (A) is the figure which revived the small diameter branch pipe, (B) is a figure which finally shows a water-stop state. 本発明の断水管路検索方法を実施する際のフローチャートの一例である。It is an example of the flowchart at the time of enforcing the water break pipeline search method of this invention. 適宜数値を適用した水道管路網の模式図である。It is a schematic diagram of the water pipe network which applied the numerical value suitably. 断水箇所がなく、通常に流通している場合の管網水理計算結果を示す図である。It is a figure which shows the pipe network hydraulic calculation result when there is no water cutoff location and it distribute | circulates normally. 所定の水道管路を断水状態とした場合の管網水理計算結果を示す図である。It is a figure which shows the pipe network hydraulic calculation result at the time of making a predetermined | prescribed water pipe line into a water cutoff state. 従来の断水管路検索方法によって断水管路検索を実施した結果を表示装置に表示した図である。It is the figure which displayed on the display device the result of having implemented the water break pipeline search by the conventional water break pipeline search method. 本発明の断水管路検索方法によって断水管路検索を実施した結果を表示装置に表示した図である。It is the figure which displayed on the display device the result of having implemented the water break pipeline search by the water break pipeline search method of this invention. 従来の断水管路検索方法を示す説明図である。It is explanatory drawing which shows the conventional water-stop pipeline search method.

符号の説明Explanation of symbols

１３ 主要管路
１４ 分岐管路
１８ 分岐管路
３１ 断水箇所 13 Main pipeline 14 Branch pipeline 18 Branch pipeline 31 Water cut off point

Claims (6)

先ず、水道管路網を構成する所定口径以下の管路を一旦除外し、他の管路が流通状態にある管路と接続しているか確認して、一次的に管路の断水状態を検索し、次に、一旦除外した所定口径以下の管路を再度復活させ、所定口径以下の管路が流通状態にある管路と接続しているか確認して、最終的に管路の断水状態を検索することを特徴とする断水管路検索方法。   First, temporarily exclude pipes with a diameter of less than the specified diameter that make up the water pipe network, check whether other pipes are connected to pipes that are in a circulating state, and then temporarily search for the water break condition of the pipes Then, once removed the pipes of the predetermined diameter or less once again, confirm whether the pipes of the predetermined diameter or less are connected to the pipes that are in the flow state, and finally the water cut off state of the pipes A method for searching for a water break pipeline characterized by searching. 一旦除外する管路の口径は、水道管路網を構成する主要管路の口径、断水箇所が存在する管路の口径に対応して設定することを特徴とする請求項１に記載の断水管路検索方法。   The diameter of the pipe line to be excluded once is set in accordance with the diameter of the main pipe line constituting the water pipe network and the diameter of the pipe line where the water cut location exists. Road search method. 断水管路検索方法の各工程を表示装置に表示しつつ実施するようにしたことを特徴とする請求項１又は２に記載の断水管路検索方法。   The method for searching for a water break pipe according to claim 1 or 2, wherein each step of the water break pipe search method is performed while being displayed on a display device. 断水状態となる管路と断水状態とならない管路とを識別するようにしたことを特徴とする請求項１乃至３に記載の断水管路検索方法。   The method for searching for a water break pipe according to any one of claims 1 to 3, wherein a pipe that is in a water cut-off state and a pipe that is not in a water cut-off state are identified. 断水状態となる管路と断水状態とならない管路とを管路を表示する線分の幅員によって識別するようにしたことを特徴とする請求項４に記載の断水管路検索方法。   5. The method for searching for a water break pipe according to claim 4, wherein a pipe that is in a water cut-off state and a pipe that is not in a water cut-off state are identified by the width of a line segment that displays the pipe. 断水状態となる管路と断水状態とならない管路とを管路を表示する線分の色彩によって識別するようにしたことを特徴とする請求項４に記載の断水管路検索方法。   5. The method for searching for a water break pipe according to claim 4, wherein a pipe that is in a water cut-off state and a pipe that is not in a water cut-off state are identified by a color of a line segment that displays the pipe.
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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2016030981A (en) * 2014-07-30 2016-03-07 株式会社タブチ Water supply structure

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