1、 Manual of PetroleumMeasurement StandardsChapter 2Tank CalibrationSection 2CCalibration of Upright Cylindrical Tanks Using the Optical-triangulation MethodANSI/API MPMS 2.2CFIRST EDITION, JANUARY 2002REAFFIRMED: MAY 2008ISO 7507-3:2007 (Modified), Petroleum and liquidpetroleum productsCalibration of
2、 vertical cylindricaltanksPart 3: Optical-triangulation methodManual of PetroleumMeasurement StandardsChapter 2Tank CalibrationSection 2CCalibration of Upright Cylindrical Tanks Using the Optical-triangulation MethodMeasurement CoordinationANSI/API MPMS 2.2CFIRST EDITION, JANUARY 2002REAFFIRMED: MAY
3、 2008ISO 7507-3:2007 (Modified), Petroleum and liquid petroleumproductsCalibration of vertical cylindrical tanksPart 3:Optical-triangulation methodSPECIAL NOTESAPI publications necessarily address problems of a general nature. With respect to partic-ular circumstances, local, state, and federal laws
4、 and regulations should be reviewed.API is not undertaking to meet the duties of employers, manufacturers, or suppliers towarn and properly train and equip their employees. Nor is API undertaking the warning tasksfor those exposed concerning health, safety risks, precautions and obligations under lo
5、cal,state, or federal laws.Information concerning safety and health risks and proper precautions with respect to par-ticular materials and conditions, should be obtained from the employer, the manufacturer orsupplier of that material, or the Material Safety Data Sheet.Nothing contained in any API pu
6、blication is to be construed as granting any right byimplication or otherwise for the manufacture, sale, or use of any method, apparatus, or prod-uct covered by Letters Patent. Neither should anything contained in the publication be con-strued as insuring anyone against liability for infringement of
7、 letters patent.Generally, API standards are reviewed and revised, reafrmed, or withdrawn at least everyve years. Sometimes a one-time extension of up to two years will be added to this reviewcycle. This publication will no longer be in effect ve years after its publication date as anoperative API s
8、tandard or, where an extension has been granted, upon republication. Statusof the publication can be ascertained from the API Upstream Segment telephone (202) 682-8000. A catalog of API publications and materials is published annually and updated quar-terly by API, 1220 L Street, N.W., Washington, D
9、C. 20005.This document was produced under API standardization procedures that ensure appropri-ate notication and participation in the developmental process and is designated as an APIstandard. Questions concerning the interpretation of the content of this standard or com-ments and questions concern
10、ing the procedures under which this standard was developedshould be directed in writing to the general manager of the Upstream Segment, AmericanPetroleum Institute, 1220 L Street, N.W., Washington, D.C. 20005. Requests for permissionto reproduce or translate all or any part of the material published
11、 herein should also beaddressed to the general manager.API standards are published to facilitate the broad availability of proven, sound engineer-ing and operating practices. These standards are not intended to obviate the need for apply-ing sound engineering judgment regarding when and where these
12、standards should beutilized. The formulation and publication of API standards is not intended in any way toinhibit anyone from using any other practices.Any manufacturer marking equipment or materials in conformance with the markingrequirements of an API standard is solely responsible for complying
13、with all the applicablerequirements of that standard. API does not represent, warrant, or guarantee that such prod-ucts do in fact conform to the applicable API standard.All rights reserved. No part of this work may be reproduced, stored in a retrieval system, or transmitted by any means, electronic
14、 mechanical, photocopying, recording, or otherwise, without prior written permission from the publisher. Contact the Publisher, API Publishing Services, 1220 L Street, N.W., Washington, D.C. 20005.Copyright 2002 American Petroleum InstituteFOREWORDChapter 2.2C of the Manual of Petroleum Measurement
15、 Standards should be used in con-junction with API Standard, Chapter 2.2A, the Manual Strapping Method.API publications may be used by anyone desiring to do so. Every effort has been made bythe Institute to assure the accuracy and reliability of the data contained in them; however, theInstitute make
16、s no representation, warranty, or guarantee in connection with this publicationand hereby expressly disclaims any liability or responsibility for loss or damage resultingfrom its use or for the violation of any federal, state, or municipal regulation with which thispublication may conict.Suggested r
17、evisions are invited and should be submitted to the general manager of theUpstream Segment, American Petroleum Institute, 1220 L Street, N.W., Washington, D.C.20005.iiiCONTENTSPage1 SCOPE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
18、 . . . . . . 12 NORMATIVE REFERENCE. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 DEFINITIONS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 PRECAUTIONS . . . . . . . . . . . . . . . .
19、 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 EQUIPMENT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15.1 Equipment for Measurement of Angles . . . . . . . . . . . . . . . . . . . . . . . . . . .
20、 . . . . . . 15.2 Stadia. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15.3 Equipment for Bottom Calibration. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 EQUIPMENT SET-UP AND PROCEDURE . . . . . .
21、 . . . . . . . . . . . . . . . . . . . . . . . . . . 26.1 Preparation of Tank. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26.2 Theodolite Set-up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
22、3 Stadia Set-up and Procedure. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 MEASUREMENT OF DISTANCE BETWEEN TWO THEODOLITE STATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 PROCEDURE FOR INTERNAL OPTICAL TAN
23、K WALL MEASUREMENTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 PROCEDURES FOR EXTERNAL MEASUREMENT . . . . . . . . . . . . . . . . . . . . . . . . 39.1 General . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
24、 . . . . . . . . . . . . . . . . . . . 39.2 Reference Circumference Measured by Strapping . . . . . . . . . . . . . . . . . . . . . . . . 49.3 Reference Distances Measured between Pairs of Theodolite Stations . . . . . . . . . 510 TOLERANCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
25、 . . . . . . . . . . . . . . . . . . . . . . . . . . . 610.1 Distance Between Theodolites . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 610.2 Horizontal Angles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 610.3 Refe
26、rence Circumferences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 611 OTHER MEASUREMENTS FOR TANK CALIBRATION . . . . . . . . . . . . . . . . . . . . 611.1 Tank Bottom Calibration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
27、 . . 611.2 Reference Height Determination . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 611.3 Other Measurements and Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 612 CALCULATIONS AND DEVELOPMENT OF TANK CAPACITY TABLES. . . . . 712.1
28、From Internal Procedure. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 712.2 From Reference Circumference Procedure (Clause 9.2). . . . . . . . . . . . . . . . . . . 712.3 From Reference Distances between Pairs of Theodolites (Clause 9.3). . . . . . . . 712.4
29、Development of Tank Capacity Table . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7vPageAPPENDIX A COMPUTATION OF INTERNAL RADII FROM INTERNALMEASUREMENTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9APPENDIX B DETERMINATION OF THE RADIUS OF
30、 THE CIRCLE BY THE LEAST-SQUARES METHOD. . . . . . . . . . . . . . . . . . . . . . . . . . . . 11APPENDIX C COMPUTATION OF INTERNAL RADII FROM REFERENCECIRCUMFERENCE AND EXTERNAL MEASUREMENTS . . . . . . . 13APPENDIX D COMPUTATION OF INTERNAL RADII FROM REFERENCEDISTANCES BETWEEN PAIRS OF THEODOLITE
31、 STATIONS . . . 15APPENDIX E METHOD FOR CALIBRATING BOTTOMS OF TANKS . . . . . . . . . 17APPENDIX F SPECIFICATION FOR DIP-TAPE AND DIP WEIGHT . . . . . . . . . . . 19Figures1 Measurement of Distance between Two Theodolites. . . . . . . . . . . . . . . . . . . . . . . . 22 Example of Locations of The
32、odolite Stations and Wall Points for Internal Procedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Location of Horizontal Sets of Points on Tank Wall . . . . . . . . . . . . . . . . . . . . . . . . 44 Horizontal Angles between Sightings on Points on Tank Wall and
33、the Reference Axis TL. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 Example of Theodolite Station Locations for External ProcedureBased on a Reference Circumference. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 Example of Theodolite Station Loc
34、ations for External ProcedureBased on Reference Distances between Pairs of Tehodolites . . . . . . . . . . . . . . . . . 57 Circle and Coordinates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118 Radii from Reference Circumference. . . . . . . . . . . .
35、 . . . . . . . . . . . . . . . . . . . . . . . 139 External Radii from Reference Distances between Pairs of Theodolite Stations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15Tables1 Minimum Number of Points Per Circumference for Internal Procedure. . . . . . .
36、 . . 32 Minimum Number of Theodolite Stations for External Procedures. . . . . . . . . . . . 63 Tolerance on Distance Between Theodolites . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 Tolerance on Reference Circumference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
37、 . . 65 Data for Example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 Calculated Coordinates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127 Solution by Iteration . . . . . . . . . . . . . . .
38、 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12vi1Chapter 2Tank CalibrationSECTION 2CCALIBRATION OF UPRIGHT CYLINDRICAL TANKS USING THE OPTICAL-TRIANGULATION METHOD0 IntroductionThis method describes the calibration of vertical cylindricaltanks by means of optical triangulation
39、 using theodolites. Thecircumference of the tank is determined at different levels byreference to a base line, which may be either a reference cir-cumference measured by strapping or a base line between twostations of a theodolite measured by means of a tape or by anoptical method. External circumfe
40、rences are corrected to givetrue internal circumferences. The method is an alternative toother methods such as strapping (Chapter 2, Section 2A) andthe optical-reference-line method (Chapter 2, Section 2B).1 Scope1.1This part species a calibration procedure for applica-tion to tanks above 26 ft in d
41、iameter with cylindrical coursesthat are substantially vertical. It provides a method for deter-mining the volumetric quantity contained within a tank atgauged liquid levels. The measurement required to determinethe radius may be made internally (Clause 8) or externally(Clause 9). The external metho
42、d is applicable only to tanksthat are free of insulation. 1.2Abnormally deformed tanks; e.g., dented or non-circulartanks are excluded from this section, API MPMSChapter 2.1.3This method is suitable for tilted tanks up to 3% devia-tion from the vertical, provided that a correction is applied forthe
43、measured tilt as described in API MPMSChapter 2.2A. 2 Normative ReferenceThe following standard contains provisions which throughreference in this text, constitutes provisions of this part ofChapter 2. At the time of publication, the edition indicatedwas valid. All standards are subject to revision
44、and parties toagreements based on this section of Chapter 2 are encouragedto investigate the possibility of applying the most recent edi-tion of the standard indicated below. Members of API main-tain registers of currently valid API Standards.3 DefinitionsFor the purposes of this part of Chapter 2,
45、the denitionsgiven in Chapter 2.2A apply.4 PrecautionsThe general precautions and safety precautions specied inChapter 2.2A shall apply to this section of Chapter 2. 5 Equipment5.1 EQUIPMENT FOR MEASUREMENT OF ANGLES Equipment for measurement of angles as listed in 5.1.1 to5.1.4 below.5.1.1Theodolit
46、es, with angular graduations and a resolu-tion equal to or better than 5 seconds. Each theodolite shallbe mounted on a tripod which is rm and stable. The legs ofthe tripod shall be steadied by means of magnetic bearerswhen being used for the internal method. Repeat readingsshall agree to within 5 se
47、conds.5.1.2Low-power laser-beam emitter, equipped with adevice such as a ber-optic light-transfer system and a the-odolite-telescope eye-piece connection, by which the laserbeam can be transmitted through a theodolite. The laserbeam shall be coincident with the optical axis of the tele-scope.5.1.3He
48、avy weights, to set around the theodolite stationsto prevent movement of the tank bottom plate.5.1.4Lighting, for use inside the tank to allow measure-ments to be read accurately.5.2 STADIA5.2.1Stadia, 2 m long, such that the graduated length,between two marks, remains constant to within + 0.02 mm,
49、atthe temperature at which it is used. Note: Conversion to USC units is not recommended for use of thestadia.5.3 EQUIPMENT FOR BOTTOM CALIBRATIONEither:a. A liquid method, equipment as specied in Appendix E, orb. For a survey method, a theodolite, a dumpy level, a sur-veyors level or water-lled tubes.2CHAPTER2TANKCALIBRATION6 Equipment Set-up and Procedure6.1 PREPARATION OF TANKFill the tank to its normal working capacity at least onceand allow it to stand for a minimum of 24 hours prior to cali-bration. If the tank is calibrated with liquid in it, record the depth,
