Ultrasonic imaging in wells or tubulars
An ultrasonic imaging method is provided. A wideband acoustic pulse is fired at a wall. A wideband response signal is received. The wideband response signal is processed to select an impedance measurement frequency. A wavelet having a characteristic frequency approximately equal to the impedance measurement frequency is fired. A wavelet response signal is received. A reflection coefficient is determined from the wavelet response signal. An impedance measurement is calculated from the reflection coefficient. Related tools and systems are also disclosed.
1. An ultrasonic imaging method that comprises:
firing a wideband acoustic pulse at a wall;
receiving a wideband acoustic response signal;
processing the wideband acoustic response signal to select an impedance measurement frequency;
firing a wavelet having a characteristic frequency approximately equal to the impedance measurement frequency;
receiving a wavelet response signal;
determining a reflection coefficient from the wavelet response signal by:
convolving a model wavelet with a model response to obtain a model receive signal;
comparing the model receive signal to the received wavelet response signal;
adjusting at least one parameter of the model response to reduce a difference between the model receive signal and the wavelet response signal; and
calculating an impedance measurement from the reflection coefficient.
2. The method of claim 1 , wherein the wavelet has an effective time width less than a two-way travel time of sound in the wall.
3. The method of claim 1 , wherein the wavelet response signal is a pulse train, with a second pulse having an amplitude indicative of a cement impedance.
4. The method of claim 1 , wherein the wavelet response signal is a pulse train, with an inter-pulse spacing indicative of a wall thickness.
5. The method of claim 1 , wherein the wall is thicker than 0.9 inches.
6. The method of claim 1 , wherein the determining comprises measuring a peak amplitude ratio.
7. The method of claim 1 , wherein the determining comprises determining a decay rate.
8. The method of claim 1 , wherein the wideband acoustic pulse is a chirp signal.
9. The method of claim 1 , wherein the processing comprises performing a Fourier transform of the wideband response signal and identifying peaks in the frequency domain.
10. The method of claim 1 , further comprising:
calculating impedance measurements at multiple points on the wall; and
forming a visual image indicative of the impedance measurements.