System and method for leak detection by flow matching
11733123 · 2023-08-22
Inventors
Cpc classification
E03B7/003
FIXED CONSTRUCTIONS
International classification
Abstract
The present invention is a system and method for quickly and efficiently detecting water leaks and leak flow rates in plumbing systems which can include flexible materials and components. The preferred system is comprised of a static device (known as a “water widget”), an expansion gauge temporarily connected to the physical system through a controllable manifold, a mathematical model (known as a “phantom water widget”), and a software program which accepts input related to the physical system and which outputs a result.
Claims
1. A method of determining an internal leak in a plumbing system using a manifold assembly and an external container, the plumbing system including a supply line and an activation valve, comprised of the steps of: connecting the manifold assembly to the activation valve; providing a monitor cylinder, having a cross-sectional area, connected to a manifold, through a first manifold valve; opening the first manifold valve to obtain a first water level in the monitor cylinder; closing the supply line; monitoring the first water level for a predetermined period of time to determine if a leak condition exists; if the leak condition exists, then draining the manifold and the monitor cylinder; opening the supply line to obtain a second water level the monitor cylinder; closing the supply line; monitoring and recording a first elapsed time for the second water level to drop from a first position to a second position in the monitor cylinder; depressurizing and draining the manifold by opening a second manifold valve; closing the second manifold valve; opening the supply line to obtain a third water level in the monitor cylinder; closing the supply line; creating an external leak with the second manifold valve; monitoring and recording a second elapsed time for the third water level to drop from the first position to the second position in the monitor cylinder; determining if the second elapsed time is about half of the first elapsed time; and if the second elapsed time is not about half of the first elapsed time, then iteratively adjusting a flowrate of the external leak until the second elapsed time is about half of the first elapsed time; if the second elapsed time is about half of the first elapsed time, then, determining an internal leak rate from the second elapsed time and the external leak.
2. The method of claim 1, wherein the step of connecting the manifold assembly to the activation valve further comprises: providing a ball joint coupling, connected between the activation valve and the manifold assembly, for achieving a vertical orientation of the monitor cylinder.
3. The method of claim 2, wherein the method further comprises: providing the manifold assembly with a set of bubble levels, for adjusting the monitor cylinder with the ball joint coupling.
4. The method of claim 3, wherein the method further comprises: providing the manifold assembly with a longitudinal central axis.
5. The method of claim 4, wherein the method further comprises: providing a first bubble level of the set of bubble levels oriented perpendicular to the longitudinal central axis.
6. The method of claim 5, wherein the method further comprises: providing a second bubble level of the set of bubble levels oriented parallel to the longitudinal central axis.
7. The method of claim 6, wherein the method further comprises: orienting the longitudinal central axis perpendicular to a vertical axis using the first bubble level and the second bubble level.
8. The method of claim 1, wherein the step of creating the external leak further comprises: removably positioning the external container adjacent the external leak.
9. The method of claim 1, wherein the method further comprises: measuring a volume of water captured by the external container from the external leak.
10. The method of claim 1, wherein the method further comprises measuring a volume of water lost by the monitor cylinder according to the equation:
V.sub.WW=(h.sup.1−h.sup.2)(A.sup.WW) Where: V.sub.WW is the volume of water lost in the monitor cylinder; h.sup.1 is a first level of the first position; h.sup.2 is second level of the second position; and A.sup.WW is the cross-sectional area of the monitor cylinder.
11. The method of claim 1, wherein the step of determining the internal leak rate is carried out according to the equation:
V.sub.ec=(h)(π)(r).sup.2 Where: V.sub.ec is a volume of water in the external container; h is a height of a water-level position in the external container; π is a constant; and r is a radius of the external container.
12. The method of claim 1, wherein the step of determining the internal leak rate is carried out according to the equation:
13. A leak measurement system for a plumbing system, the plumbing system having a supply line, connected to a supply valve, the supply valve further connected to a main line, the leak measurement system comprising: a manifold assembly; the manifold assembly, having a monitor cylinder, connected to an activation valve; the activation valve connected to the supply line; the monitor cylinder, having a cross-sectional area, connected to a manifold, through a first manifold valve; the manifold, further comprising a second manifold valve, ductedly connected to the activation valve; an external container adjacent the second manifold valve; a client device, having a display, an input device, and a memory, all operatively connected to a processor; and a set of instructions resident in the memory, that when executed, cause the processor to perform the steps of: receiving a first water level position value of a water level in the monitor cylinder, resulting from opening the supply line; receiving a second water level position value of the water level in the monitor cylinder; receiving a first start timer input, corresponding to closing the supply line; receiving a first stop timer input, corresponding to a water level in the monitor cylinder reaching the second water level position value; calculating a first elapsed time from the first start timer input and the first stop timer input; storing the first elapsed time; receiving a second start timer input, corresponding to the water level reaching the first water level position value resulting from closing the supply line and repressurizing the manifold assembly after creating an external leak; receiving a second stop timer input, corresponding to the water level reaching the second water level position value; calculating a second elapsed time from the second start timer input and the second stop timer input; storing the second elapsed time; comparing the first elapsed time to the second elapsed time; iteratively repeating the steps of: receiving the second start timer input; receiving the second stop timer input; calculating the second elapsed time; storing the second elapsed time; comparing the first elapsed time to the second elapsed time; until the second elapsed time is equal to about half of the first elapsed time; receiving a volume input representing a volume of water captured from the external leak in the external container; and calculating a leak rate of an internal leak in the plumbing system from the volume input.
14. The leak measurement system of claim 13, wherein step of comparing the first elapsed time to the second elapsed time further comprises: activating the display if the second elapsed time is not about half of the first elapsed time.
15. The leak measurement system of claim 13, wherein the set of instructions further comprises instructions that when executed cause the processor to perform the further steps of: calculating a volume of water based on the first water level position value, the second water level position value, and the cross-sectional area.
16. The leak measurement system of claim 13, wherein the set of instructions further comprises instructions that when executed cause the processor to calculate the volume of water in the external container according to the following equation:
V.sub.ec=(h)(π)(r).sup.2 Where: V.sub.ec is the volume of water in the external container from the external leak; h is a height of a water-level in the external container; π is a constant; and r is a radius of the external container.
17. The leak measurement system of claim 13, wherein the step of calculating the leak rate is executed according to the following equation:
18. The leak measurement system of claim 17, wherein the set of instructions further comprises instructions that when executed cause the processor to: display the leak rate of the internal leak in the plumbing system on the display.
19. The leak measurement system of claim 13, wherein the set of instructions further comprises instructions that when executed cause the processor to: receive a volume input, resulting from a water measurement according to a set of indicator lines on the external container.
20. The leak measurement system of claim 13, wherein the set of instructions further comprises instructions that when executed cause the processor to: receive a value for a volume of water in the external container, corresponding to a water level in the external container.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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DETAILED DESCRIPTION OF THE INVENTION
(13) In the description that follows, like parts are marked throughout the specification and figures with the same numerals, respectively. The figures are not necessarily drawn to scale and may be shown in exaggerated or generalized form in the interest of clarity and conciseness. All tolerances and usage of the term “about” are ±20%, unless otherwise specified.
(14) Referring then to
(15) Manifold 122 is connected to residential structure 104. Structure 104 and the plumbing system described in it are just examples. One of skill will recognize that many other structures and variations of plumbing systems are possible and can be analyzed for leaks with the system and method disclosed.
(16) In this example, structure 104 includes main line 102. Supply line 100 is connected to main line 102. Water flow to main line 102 is controlled by supply valve V0. In a preferred embodiment, supply line 100 is a city water main.
(17) Main line 102 is further connected to line 106, cold-water lines 116, and exterior faucet 121. Exterior faucet 121 includes faucet valve V8. Line 106 connects the main line to hot water tank 110. Water flow to hot water tank 110 is controlled by valve V1. Hot water tank 110 is further connected to hot water lines 114. Water flow to hot water lines 114 is controlled by valve V2.
(18) Cold-water lines 116 extend to all cold-water lines in structure 104. Structure 104 also includes at least one toilet valve V7 connected to toilet 107 and cold-water lines 116.
(19) Referring also to
(20) Manifold 122 is generally cylindrical and includes ball coupling joint 151. The ball coupling joint is important because it allows WW 131 to be adjustably oriented vertically during use. The ability to adjust the WW to a vertical orientation is a great improvement because it allows for more accurate measurements of water levels.
(21) PWW model 150 is presumed to be attached to main line 102 inside structure 104, as will be further described. Cylindrical container 192 is removably positioned under outlet 123 to catch out flowing water for measurement purposes, as will be further described.
(22) Referring then to
(23) Client device 134 is comprised of display 151, processor 152, memory 154, battery 156, and real time clock (RTC) 158. Memory 154 stores application 136 and input water level data. RTC 158 is used to track elapsed time, as will be further described.
(24) Referring then to
(25) In a preferred embodiment, WW 131 includes indicator lines 206. Indicator lines 206 include demarcations for 100 pounds per square inch (psi), 50 psi, and 20 psi. In a preferred embodiment, the indicator lines are engraved on WW 131 based on the standard air pressure at sea level, 14.7 PSI. The locations of the indicator lines are calculated using Boyle's Law, p.sup.1v.sup.1=p.sup.2v.sup.2. Thus, when the WW is 40 inches in length, the indicator lines for 100 psi, 50 psi, and 20 psi are located at approximately 5.88, 11.76, and 29.4 inches from top end 220, respectively. Other gradations may of course be used.
(26) WW 131 also includes water level indicator lines 204. In a preferred embodiment, water level indicator lines 204 range from 0 to 36 inches, beginning with zero indicator line 224 at bottom end 222 and proceeding upward towards top end 220. The water level indicator lines are positioned about every tenth of an inch with larger indicator lines and numerals indicating each inch.
(27) In alternate embodiments, different WW dimensions and indicator lines may be used. Similarly, different units may be used to indicate pressure and water level.
(28) Referring then to
(29) EG 133 is comprised of body 301. In a preferred embodiment, body 301 is a translucent or transparent rigid PVC tube that is approximately 40 inches long and has an approximate diameter of 1 inch. Body 301 includes open end 306 and open end 308. Bottom end 322 of body 301 includes open end 308 and threaded connector 302. Threaded connector 302 is adapted to connect to line 132. In use, EG 133 is positioned vertically along a central axis parallel with the longitudinal axis of WW 131.
(30) EG 133 includes water level indicator lines 304. In a preferred embodiment, water level indicator lines 304 range from 0 to 36 inches, beginning with zero indicator line 324 at bottom end 322 and proceeding towards top end 320. The indicator lines are positioned about every tenth of an inch. Other gradations may of course be used.
(31) Referring then to
(32) At step 401, initial conditions are set. Supply valve V0 is open. Faucet valve V8, activation valve V3, and manifold valves V4, V5, and V6 are all closed. Main line 102, cold water lines 116, and hot water lines 114 are presumed to be filled with water. Valves V1, V2, and V7 are open.
(33) At step 402, optionally, all toilet valves in the plumbing system, such as V7, are closed.
(34) At step 404, manifold 122 is connected to exterior faucet 121 via threaded connector 138.
(35) At step 406, if not already done, WW 131 is attached to line 130 via the threaded connector 208.
(36) At step 407, activation valve V3, faucet valve V8, and manifold valve V4 are opened.
(37) At step 408, the water level in WW 131 is monitored until it is approximately equal to zero indicator line 224.
(38) At step 409, manifold valve V4 is closed.
(39) At step 410, removable cap 202 is sealed to top end 220 of WW 131.
(40) At step 411, manifold valve V4 is opened to pressurize WW 131. Typically, when the WW is pressurized the water level will rise near or above the 100-psi indicator line and stabilize. In an alternate embodiment, where cap 202 is not removable, steps 408 through 411 are not necessary.
(41) At step 412, supply valve V0 is closed to disconnect the plumbing system from supply line 100.
(42) At step 414, the water level in WW 130 is monitored. If the water level remains steady for a period of more than about 90 seconds, then it is determined that no leak is present, and the method proceeds to step 418 and ends. If the water level falls after a period of about 90 seconds, then a leak condition is assumed to exist, and the method proceeds to step 416.
(43) At step 416, a leak rate is calculated, as will be further described.
(44) Referring then to
(45) In general, to determine the leak rate, the water volume attributable to system expansion, represented as PWW model 150, is first determined. The PWW model is a mathematical pressure model used to account for expansion of the plumbing system (e.g., plastic pipe expansion and the compression of compressible fluids, such as air trapped in sealed components, such as the hot water heater). For the purpose of determining the area of the PWW model, it is assumed that the PWW model is a closed cylinder, having a constant cross-section and a length of about 40 inches.
(46) When the plumbing system is pressurized, a certain percentage of water pressure is required to force the flexible materials and components to expand. When there is a leak, the water will first escape from all pressurized water sources, such as the PWW model and WW. As water escapes, the water level in PWW model 150 and WW 131 fall, simultaneously. It is assumed that the leak rate is equal to the volume of water which escapes from PWW model 150 and WW 131 over a period of time. Thus, in order to determine the leak rate, the volume of water expanding into PWW model 150 must be determined.
(47) At step 501, activation valve V3 is closed.
(48) At step 502, manifold assembly 120 is depressurized and drained, preferably by opening manifold valve V6.
(49) At step 503, if not already done, initial conditions are set. The plumbing system is arranged so that the manifold assembly is connected to exterior faucet 121 via threaded connector 138. Valves V1, V2, faucet valve V8, and manifold valve V4 are open. Supply valve V0, activation valve V3, and manifold valves V5, and V6 are closed. Optionally, toilet valve V7 is closed.
(50) At step 504, supply valve V0 and activation valve V3 are opened to pressurize WW 131. The PWW model 150 is also assumed to be pressurized.
(51) At step 505, if not already done so, EG 133 is connected to line 132 of manifold assembly 120 by connecting line 132 to threaded connector 302. At this step, EG 133 is positioned vertically with top end 320 facing upwards.
(52) At step 506, manifold valve V5 is opened to fill EG with water. In a preferred embodiment, the EG is filled to a level of between about the 15 and about the 30-inch indicator lines.
(53) At step 508, activation valve V3 and manifold valve V4 are closed.
(54) At step 510, manifold valve V6 is opened to lower the water level in EG 133 to zero indicator line 324. In an alternate embodiment, this step is optional as the initial water level of the EG may be recorded and input into the mobile application, as will be further described.
(55) At step 512, manifold valves V5 and V6 are closed.
(56) At step 514, activation valve V3 and manifold valve V4 are opened to pressurize WW 131 and PWW model 150. Preferably, the system is considered pressurized when the water level in WW 131 remains constant for at least 5 to 10 seconds.
(57) At step 515, supply valve V0 is closed.
(58) At step 516, the water level in WW 131 is measured and input into the mobile application, as will be further described. The water level is measured to the nearest 10.sup.th of an inch using water level indicator lines 204. The water level in PWW model 150 is assumed to be equal to the water level in WW 131.
(59) At step 518, manifold valve V5 is briefly opened to allow a small amount of water into EG 133. The water diverted to EG 133 comes from WW 131 and PWW model 150. In a preferred embodiment, “briefly” means approximately 0.3 to 0.5 seconds. As a result, the relative water levels in WW 131 and PWW model 150 decrease equally.
(60) At step 520, manifold valves V5 and V4 are closed. Ideally both valves are closed simultaneously.
(61) At step 522, the water levels in WW 131 and EG 133 are measured and input into the mobile application, as will be further described. The water levels are preferably measured to the nearest 10.sup.th of an inch using water level indicator lines 204 and 304, respectively.
(62) At step 524, the cross-sectional area of PWW model 150 is determined, preferably, by the mobile application, as will be further described.
(63) At step 526, supply valve V0 and manifold valve V4 are opened to pressurize WW 131 and PWW model 150. Preferably, the system is considered pressurized when the water level in WW 131 remains constant for at least 5 to 10 seconds.
(64) At step 527, supply valve V0 is closed.
(65) At step 528, a measurement is taken of the time it takes for the water level in WW 131 to fall from about 100 psi to about 50 psi and is entered in the mobile application, as will be further described. Of course, other pressure drops may be used.
(66) At step 530, the leak rate is determined, preferably by the mobile application, as will be further described.
(67) Referring then to
(68) Mobile application screen 602 is displayed on client device 600. Client device 600 is a mobile device, such as a smart phone or tablet, as previously described.
(69) Mobile application screen 602 includes WW initial water level input box 604, WW final water level input box 606, and EG final water level input box 608. Application 136 defaults to an initial water level of zero for the EG. In an alternate embodiment, mobile application screen 602 includes optional EG initial water level input box 605.
(70) In a preferred embodiment, the water levels are input in inches to the nearest 10.sup.th of an inch. Of course, other measurements may be used which correspond to the water level indicator lines on the WW and EG.
(71) Mobile application screen 602 is further comprised of start button 610, stop button 614, start drop down 612, and stop drop down 616. The mobile application screen also includes leak rate section 618.
(72) Referring then to
(73) At step 702, the mobile application receives a value in input box 604 for the initial water level of WW 131.
(74) At optional step 704, the mobile application receives a value in input box 605 for the initial water level of EG 133. In a preferred embodiment, the method defaults to a zero value for the initial water level of the EG.
(75) At step 706, the mobile application receives a value in input box 606 for the final water level of WW 131.
(76) At step 708, the mobile application receives a value in input box 608 for the final water level of EG 133.
(77) At step 710, the cross-sectional area of PWW model 150 is calculated using the following equation:
(78)
Where:
(79) A.sup.PWW is the cross-sectional area of the PWW model in inches.sup.2;
(80) h.sup.EG is the height gained in the EG in inches;
(81) h.sup.WW is the water level decrease in the WW, which is equivalent to the water level decrease in the PWW model in inches; and,
(82) A.sup.WW is the cross-sectional area of the WW in inches.sup.2.
(83) At optional step 712, the mobile application receives a selection for a starting pressure from drop down 612. In a preferred embodiment, the drop-down defaults to 100 psi as the starting pressure.
(84) At optional step 714, the mobile application receives a selection for an ending pressure from drop down 616. In a preferred embodiment, the drop-down defaults to 50 psi as the ending pressure.
(85) At step 716, a selection of start button 610 is received and the mobile application starts a timer.
(86) At step 718, a selection of stop button 614 is received and the mobile applications stops the timer and stores the elapsed time, t. In a preferred embodiment, t is the time in seconds that it takes for the water level to fall the selected amount, e.g., from the 100-psi indicator line to the 50-psi indicator line.
(87) At step 720, the average leak rate is calculated. In this calculation it is assumed the average leak rate is equivalent to the volume of water lost in the PWW model plus the volume of water lost in the WW over time. In this example, the average leak rate from 100 psi to 50 psi is calculated in cubic inches per second using the following equation:
(88)
Where:
(89) H is the length in inches between starting pressure and stopping pressure, in this example 100 psi and 50 psi;
(90) E is the sum of the A.sup.PWW and A.sup.WW in inches.sup.2;
(91) t is the elapsed time in seconds;
(92) x is the starting pressure, in this example 100 psi; and,
(93) y is the stopping pressure, in this example.
(94) At step 722, the leak rate is converted from cubic inches per second to gallons per month using the following formula:
(95)
(96) At step 724, the leak rate is displayed in leak rate section 618.
(97) Referring to
(98) At step 801, the method begins.
(99) At step 802, supply valve V0 and valves V1 and V2 are opened.
(100) At step 804, faucet valve V8, activation valve V3, toilet valve V7 and manifold valves V4, V5, and V6 are closed.
(101) At step 806, WW 131 is connected to line 130 via the threaded connector 208.
(102) At step 808, the manifold assembly is connected to exterior faucet 121 via threaded connector 138.
(103) At step 810, the manifold assembly is adjusted to a vertical orientation, using ball joint coupling 151 and bubble levels 152A and 152B.
(104) At step 812, activation valve V3, faucet valve V8, and manifold valve V4 are opened.
(105) At step 814, the water level in WW 131 is monitored until it is approximately equal to zero indicator line 224.
(106) At step 816, manifold valve V4 is closed.
(107) At step 818, removable cap 202 is sealed to top end 220 of WW 131.
(108) At step 820, manifold valve V4 is opened to pressurize WW 131. Typically, when the WW is pressurized, the water level will rise near or above the 50-psi indicator line and stabilize. In an alternate embodiment, where cap 202 is not removable, steps 814 through 820 are not conducted.
(109) At step 822, supply valve V0 is closed to disconnect the plumbing system from supply line 100.
(110) At step 824, the water level in WW 130 is monitored to determine whether or not a leak exists. If the water level remains steady for a period of more than about 90 seconds, then it is assumed that no leak is present, and the method proceeds to step 860. If the water level falls after a period of about 90 seconds, then a leak is assumed to exist, and the method proceeds to step 826.
(111) At step 826, activation valve V3 is closed.
(112) At step 828, manifold assembly 120 is depressurized and drained, preferably by opening manifold valve V6.
(113) At step 830, valve V6 is closed.
(114) At step 832, WW 131 is pressurized. Preferably, by opening supply valve V0 and activation valve V3. The WW is typically considered pressurized when the water level in the WW remains constant for about 5 to 10 seconds. Typical heat pressure at the street for residential systems is between 40-60 psi. Once the height of the WW is pressurized the height of the water should stabilize, typically between about 3-4 inches on indicator lines 204, or about 50 psi on indicator lines 206.
(115) At step 834, the high-level starting position water level in WW 131 is measured using water level indicator lines 204. Ideally, meniscus of the high-level starting position water level is measured to the nearest 10.sup.th of an inch.
(116) At step 836, optionally, the pressure level in the WW is measured using indicator lines 206 and recorded.
(117) At step 838, supply valve V0 is closed, and the water level in the WW is allowed to be stabilized at a low-level ending position.
(118) At step 839, the low-level ending position in WW 131 is observed and recorded using indicator lines 204. In practice, the low-level ending position should be about half of the high-level starting position. For example, the high-level starting position may be 60 psi, and the low-level ending position may be 30 psi.
(119) At step 840, optionally, the pressure level in the WW is measured using indicator lines 206 and recorded.
(120) At step 841, the elapsed time for the water level in WW 131 to fall from the high-level starting position to the low-level ending position is observed and recorded. This measurement will later be referred to as “T.sub.3”.
(121) At step 842, activation valve V3 is closed.
(122) At step 844, manifold assembly 120 is depressurized and drained, preferably by opening manifold valve V6.
(123) At step 846, manifold valve V6 is closed.
(124) At step 848, WW 131 is again pressurized, preferably by opening supply valve V0 and activation valve V3.
(125) At step 850, supply valve V0 is closed when the water level reaches the high-level position.
(126) At step 852, measuring device 192, preferably a cylindrical measuring container, is placed under the external leak at valve V6.
(127) At step 853, an “external” leak is created by opening valve V6.
(128) At step 854, the elapsed time for the water level in WW 131 to fall from the high-level starting position to the low-level ending position, with the external leak, is observed and recorded. This measurement will be later referred to as “T.sub.6”.
(129) At step 856, a determination is made as to whether or not T.sub.6 is equal to about half of T.sub.3. If T.sub.6 is equal to about half of T.sub.3 then the method proceeds to step 858. If not, then the method proceeds to step 857.
(130) The inventor has realized that if T.sub.6 is about half of T.sub.3, then the leak rate of the external leak is about equal to the leak rate of the internal leak. And so, the water loss from any internal leak inside structure 104 will be equivalent to the water loss from the external leak over any period of time.
(131) At step 857, the flowrate of the external leak at valve V6 is adjusted and steps 848 through 856 are iteratively repeated until T.sub.6 is about half of T.sub.3.
(132) At step 858, the volume of water in measuring container 192 is measured and recorded.
(133) At step 859, the leak rate is calculated, as will be further described.
(134) At step 860, the method concludes.
(135) Referring to
(136) Display 900 shows start button 610, stop button 614, high-level water level input 902, low-level water level input 904, high level pressure input 906, low-level pressure input 908, measuring container water level input 909, measuring container 192 diameter input 911, T.sub.1 timer output 910, T.sub.2 timer output 912, measuring container volume input 914, and measuring container input 916, and warning display 990. The mobile application further displays leak rate section 618.
(137) Referring to figuring 10, the preferred method of step 858 for calculating the leak rate using the WW in flow matching mode and the mobile application will be further described.
(138) At step 1000, the method begins.
(139) At step 1002, the mobile application receives a value for a high-level water level input 902.
(140) At step 1004, the mobile application receives a value for low-level water level input 904.
(141) At step 1006, optionally, the mobile application receives a value for high-level pressure input 906.
(142) At step 1008, optionally, the mobile application receives a value for low-level pressure input 908.
(143) At step 1010, the mobile application receives a value for measurement container diameter input 911. In a preferred embodiment, the measuring container is cylindrical with known dimensions and volume.
(144) In the alternative, measurement container 192 includes indicator lines representing volume. In this embodiment, the water volume observed is input into the mobile application at input 914 in lieu of water level input 909 and container diameter 911.
(145) At step 1011, a selection of start button 610 is received and the mobile application starts a timer at T.sub.1.
(146) At step 1012, a selection of stop button 614 is received and the mobile applications stops the timer at T.sub.2.
(147) At step 1014, the mobile application calculates T.sub.3. In a preferred embodiment, T.sub.3 is the elapsed time in seconds for the water level in the WW to fall from the high-level input to the low-level input, with no external leak present. T.sub.3 can be calculated by the following equation:
T.sub.3=T.sub.2−T.sub.1
(148) At step 1016, the mobile application stores the elapsed time, T.sub.3.
(149) At step 1018, a second selection of start button 610 is received and the mobile application starts a timer for a second time at T.sub.4.
(150) At step 1020, a second selection of stop button 614 is received and the mobile application stops the timer at T.sub.5.
(151) At step 1022, the mobile application calculates T.sub.6. In a preferred embodiment, T.sub.6 is the elapsed time in seconds for the water level in the WW to fall from the high-level input to the low-level input, with an external leak present. T.sub.6 can be calculated by the following equation:
T.sub.6=T.sub.5−T.sub.4
(152) At step 1024, the mobile application stores the elapsed time, T.sub.6.
(153) At step 1026, the mobile application compares the T.sub.3 to T.sub.6 according to the following equation:
(0.4)T.sub.3≤T.sub.6≤(0.6)T.sub.3
If T.sub.6 is between about (0.4)T.sub.3 and about (0.6) T.sub.3, then the method proceeds to step 1028. If not, then the method proceeds to step 1027.
(154) At step 1027, the mobile application prompts for another time measurement by activating warning display 990. The method then returns to step 1018.
(155) At step 1028, the mobile application receives a value for measurement container 192 water level input 909.
(156) At step 1029, the volume of water lost between the high-level position and the low-level position is calculated. In this calculation it is assumed the cross-sectional area of the WW 0.83 inches.sup.2 and a baseline measurement of zero inches results from standard atmospheric pressure of 14.7 psi. For example, the high-level starting position may be 11.76 inches, and the low-level ending position is 5.88 inches.
V.sub.WW=(h.sup.1−h.sup.2)(A.sup.WW)
Where:
(157) V.sub.WW is the volume of water lost from the high-level position to the low-level position in inches.sup.3.
(158) h.sup.1 is the height of the high-level position in inches;
(159) h.sup.2 is the height of the low-level position in inches;
(160) A.sup.WW is the cross-sectional area of the WW in inches.sup.2.
(161) At step 1030, the volume of water lost from the external leak is calculated using the following equations:
(162)
Where:
(163) V.sub.EL is the volume of water lost through the external leak in inches.sup.3;
(164) V.sub.WW is the volume of water lost from the high-level position to the low-level position in inches.sup.3;
(165) V.sub.x is the volume of water lost from other pressurized areas within the plumbing system in inches.sup.3.
(166) V.sub.mc is the volume of water in the measuring container from external leak in inches.sup.3;
(167) h is the height of the water-level position in the measuring container in inches;
(168) π is a constant;
(169) r is the radius of the cylindrical measuring container in inches.
(170) At step 1032, the volume of the water lost from the internal leak is calculated using the following equations:
(171)
Where:
(172) V.sub.IL is the volume of water lost from the internal leak in inches.sup.3;
(173) V.sub.WW is the volume of water lost from the high-level position to the low-level position in inches.sup.3;
(174) V.sub.x is the volume of water lost from other pressurized areas within the plumbing system in inches.sup.3.
(175) At step 1034 the leak rate per second of the internal leak is calculated using the following equation:
(176)
Where:
(177) R.sub.IL is the leak rate per second of the internal leak in inches.sup.3 per second.
(178) V.sub.IL is the volume of water lost from the internal leak in inches.sup.3;
(179) T.sub.6 is the time in seconds that it takes for the water level to fall from the high-level input to the low-level input with the external leak present.
(180) At step 1036, the internal leak rate (R.sub.IL) is converted from cubic inches per second to gallons per month using the following equation:
(181)
(182) At step 1038, the leak rate is displayed on display screen 602.
(183) At step 1040, the method concludes.