1、Mechanical Behavior of Cement API TECHNICAL REPORT 10TR7 FIRST EDITION, DECEMBER 2017Special Notes API publications necessarily address problems of a general nature. With respect to particular circumstances, local, state, and federal laws and regulations should be reviewed. Neither API nor any of AP
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14、ards Department, API, 1220 L Street, NW, Washington, DC 20005, standardsapi.org. iiiContents Page 1 Scope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2 Normative References . . .
15、 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 3 Terms and Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 4 E
16、xpansion and Explanation of Defined Terms. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 4.1 General . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
17、 . . . . . . . 2 4.2 Stress . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 4.3 Strain. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
18、. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 4.4 Elasticity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 4.5 Unconfined Compressive Strength (UCS) . . . . .
19、 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4.6 Tensile Strength (?T). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 4.7 Mohrs Circle . . . . . . . . . .
20、 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 4.8 Effective Stress . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
21、. . 9 4.9 Failure Criteria . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 5 Mechanical Testing Specimen Preparation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
22、. . . . . . . . . . 11 5.1 Cement Slurry Preparation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2 Casting Cement Specimens. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
23、 . . . . . . . . . . . . . . . . . . 12 5.3 Cement Curing Procedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 5.4 Cylinder Preparation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
24、. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 5.5 Quality Control Check for Specimen Integrity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 6 Testing Equipment and Common Uniaxial Compression/Tension Test Setup . . . . . . . .
25、. . . . . . . . . . . . . 18 6.1 Testing Equipment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 6.2 Common Test Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
26、. . . . . . . . . . . . . . . . . . . . . . . . . . . 20 7 Unconfined Compression Testing. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 7.1 General . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
27、. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 7.2 Differences from API 10B-2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 7.3 Test Procedures. . . . . . . . . . . . . . . . . . .
28、. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 7.4 Typical Test Result . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 7.5 Test Result Interp
29、retation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 8 Tensile Testing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
30、. . . . 26 8.1 Test Procedures of Direct Tension Test (Using Briquette Specimens). . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 8.2 Test Procedures of Splitting Tension Test (Brazilian test) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 8.3 Test Result In
31、terpretation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 9 Triaxial Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
32、. . . . . . . 29 9.1 General . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 9.2 Typical Confined Test Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
33、. . . . . . . . . . . . . . . . . . . . . . . . 29 9.3 Triaxial Test Interpretation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 10 Dynamic Elastic Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . .
34、 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 11 Reporting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 Annex A (informative ) Reporting . . . . . . . . . . .
35、 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Annex B (informative ) Sonic Sample Integrity Control. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 Bibliography . . . . . . . . . . . . . . . . .
36、 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 vContents Page Figures 1 Force Applied to a Surface Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
37、 . . . 3 2 Cylindrical Test Specimen . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 3 Cylindrical Test Specimen Subject to Radial Stress . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
38、. . . . . 4 4 Elasticity Test Result Examples. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 5 Mohr Circles and Mohr Failure Envelope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
39、. . . . . . . 10 6 Mohrs Circles for Confined Tests Bounded by the Mohr-Coulomb Shear Failure Criteria . . . . . . . . . . . 11 7 Examples of a Disposable Mold (left) and Reusable Molds (right) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 8 Dimensions of Briquette Specimens for D
40、irect Tensile Strength Test (from ASTM C307) . . . . . . . . . . . . 13 9 Briquette Specimens for Direct Tensile Strength . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 10 CT Scan Images of Cement Samples . . . . . . . . . . . . . . . . . . . . . . . . .
41、 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 11 Example Splitting Tensile Test. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 12 Example Direct Tensile Test (Dogbone) . . . . . . . . . . . . . . . . . . .
42、 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 13 Example Uniaxial Compression Test Setup with Displacement Transducers . . . . . . . . . . . . . . . . . . . . . . 20 14 Common Compressive Test Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
43、 . . . . . . . . . . . . . . . . . . . 20 15 Example of Compressive Test Specimen After Failure. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 16 Typical Stress-Strain Curve of an Unconfined Compression Test with One Cycle. . . . . . . . . . . . . . . . . . 24 17
44、 Tangent Modulus as a Function of Axial Strain (James and Boukhelifa, 2006). . . . . . . . . . . . . . . . . . . . . 25 18 Schematic of Splitting Tension Test (Brazilian test) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 19 Example of Good Tests (left) and
45、 Poor Tests (right) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 20 Schematic of Confined Compression Test. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 21 Triaxial Compressive Strength Test Results
46、 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 A.1 Stress-Strain Curves of Three Different Samples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 A.2 Stress-Strain Curves of Five Different Samples . .
47、. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 A.3 Stress-Strain Curves of Four Different Samples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 A.4 Stress-Strain Curves of Four Different Samples . . . . . .
48、. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 A.5 Stress-Strain Curves of Two Different Samples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 A.6 Comparison of Specimen Axial Strain Measured by Extensometers and Pi
49、ston Displacement. . . . . . . 37 A.7 Comparison of Specimen Axial Strain Measured by Extensometers and Piston Displacement. . . . . . . 37 A.8 Comparison of Stress-Strain Curves Obtained with Different Control Mode . . . . . . . . . . . . . . . . . . . . . . 38 A.9 Effective Loading Rate of a Typical Test Performed with Displacement Control . . . . . . . . . . . . . . . . . . . 38 A.10 Representative Stress-Strain Curve of the First Three Cycles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 A.11 Stress-Strain Curves of Three Different Specimens During the Firs