Calculation of material impedance inside and outside the casing, determination of relationship, and cementing evaluation methods and equipment
A technology of impedance calculation and relationship determination, applied in the fields of cementing evaluation, relationship determination, and material impedance calculation inside and outside the casing. The effect of precision
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Embodiment 1
[0040] This embodiment describes the method of solving the functional expression of the impedance of the material inside and outside the casing by using the resonance wave in the ultrasonic echo. The principle is: use measuring equipment to measure the measurement value of the resonant wave resonance efficiency of the casing under different environmental conditions, and the environmental conditions include one or more of the following: casing thickness, substances inside the casing, and substances outside the casing; according to the The measured value of resonance wave resonance efficiency inverts the second functional relationship between the material impedance inside and outside the casing and the resonance wave resonance efficiency: Zoutg=f 2 (Zing,b,H), where Zoutg represents the impedance value of the material outside the casing when the resonance wave is measured, Zing represents the impedance value of the material inside the casing when the resonance wave is measured, b...
Embodiment 2
[0070] This example describes a method for establishing the functional relationship between the attenuation of ultrasonic Lamb waves and the impedance of the material inside and outside the casing. The principle is: use Lamb wave measuring equipment to measure Lamb wave measurement values under different environmental conditions, and the environmental conditions include one or more of the following: casing thickness, material inside the casing, and material outside the casing; according to the The first functional relationship between the impedance of the material inside and outside the casing and the Lamb wave is inverted by the Lamb wave measurement value: Zoutl=f 1 (Zinl,Att,H), where Zoutl represents the impedance value of the material outside the casing when the Lamb wave is measured, Zinl is the impedance value of the material inside the casing when the Lamb wave is measured, and Att is the value when the Lamb wave propagates in the casing The attenuation, H is the cas...
Embodiment 3
[0076] This embodiment describes the method of jointly solving the acoustic impedance Zin and Zout of the materials inside and outside the casing by using the Lamb wave attenuation and the resonance efficiency of the resonance wave.
[0077] It can be seen from formula (10) that the attenuation rate Att of the ultrasonic Lamb wave can be expressed as a function of Zoutl and Zinl, that is, the first function:
[0078] Att=F 1 (Zoutl, Zinl) (11)
[0079] After transforming Equation (9), Zoutg and Zing can also be used to represent the resonance efficiency of the resonant wave, that is, the second function
[0080] b=F 2 (Zoutg, Zing) (12)
[0081] In the above formula, Zoutl represents the impedance of the substance outside the casing during Lamb wave measurement, Zinl represents the impedance of the substance inside the casing during Lamb wave measurement, Zoutg represents the impedance of the substance outside the casing during resonance wave measurement, and Zing represents ...
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