Methods to image acoustic sources in wellbores
A method including selecting a forward model based on a modeled well structure and including a single modeled acoustic source located in a modeled wellbore and a plurality of modeled acoustic sensors located in a modeled source area, simulating an acoustic signal generated by the single modeled acoustic source and received by each modeled acoustic sensor, calculating phases of the simulated acoustic signals received at each modeled acoustic sensor, obtaining with a principle of reciprocity a plurality of modeled acoustic sources in the modeled source area and a single modeled acoustic sensor in the modeled wellbore, calculating phase delays of the simulated acoustic signals between each modeled acoustic source and the single modeled acoustic sensor, detecting acoustic signals generated by a flow of fluid using acoustic sensors in a wellbore, and processing the acoustic signals using the phase delays to generate a flow likelihood map.
1. A method, comprising:
selecting a forward model based on a modeled well structure and including a single modeled acoustic source located in a modeled wellbore of the modeled well structure and further including a plurality of modeled acoustic sensors located in a modeled source area of the modeled well structure;
simulating, using the forward model, an acoustic signal generated by the single modeled acoustic source and received by each modeled acoustic sensor of the plurality of modeled acoustic sensors and thereby obtaining simulated acoustic signals;
calculating, using the forward model, phases of the simulated acoustic signals received at each modeled acoustic sensor;
obtaining, using a principle of reciprocity, a plurality of modeled acoustic sources in the modeled source area and a single modeled acoustic sensor in the modeled wellbore;
calculating phase delays of the simulated acoustic signals between each modeled acoustic source and the single modeled acoustic sensor obtained using the principle of reciprocity;
detecting acoustic signals generated by a flow of fluid using a plurality of acoustic sensors positioned in a wellbore;
processing the detected acoustic signals using the phase delays and thereby generating a flow likelihood map; and
determining, using the flow likelihood map, a location of the flow of the fluid in a subterranean formation surrounding the wellbore.
2. The method of claim 1 , wherein the modeled wellbore of the modeled well structure is modeled as one of an open-hole wellbore and a cased wellbore.
3. The method of claim 1 , wherein the plurality of acoustic sensors are included in a linear array of acoustic sensors, the method further comprising positioning the linear array of acoustic sensors along a longitudinal axis of the wellbore.
4. The method of claim 1 , wherein the modeled source area includes a first region having a higher probability of a presence of the flow of the fluid as compared to a second region, and the plurality of modeled acoustic sensors are more densely packed in the first region as compared to the second region.
5. The method of claim 1 , wherein processing the detected acoustic signals comprises beamforming.
6. The method of claim 1 , wherein selecting the forward model comprises selecting the forward model from a collection of forward models.
7. The method of claim 1 , wherein selecting the forward model comprises selecting the forward model based at least in part on a configuration or a condition of the wellbore.
8. The method of claim 1 , wherein detecting the acoustic signals generated by the flow of the fluid comprises detecting the acoustic signals generated by at least one of the flow of the fluid in the wellbore, the flow of the fluid located in one or more subterranean formations penetrated by the wellbore, and the flow of the fluid in an annulus defined between one or more strings of casing lining the wellbore and the one or more subterranean formations penetrated by the wellbore.
9. The method of claim 1 , further comprising generating the flow likelihood map to indicate a distribution of acoustic energy in the modeled source area.
10. The method of claim 1 , further comprising determining a direction of the flow of the fluid based on the flow likelihood map.
11. A system, comprising:
a plurality of acoustic sensors positioned in a wellbore to detect acoustic signals generated by a flow of fluid; and
a data processing system communicably coupled to the plurality of acoustic sensors and including a processor and a non-transitory computer readable storage medium storing a computer readable program code that when executed by the processor causes the data processing system to:
select a forward model based on a modeled well structure and including a single modeled acoustic source located in a modeled wellbore of the modeled well structure and further including a plurality of modeled acoustic sensors located in a modeled source area of the modeled well structure,
simulate, using the forward model, an acoustic signal generated by the single modeled acoustic source and received by each modeled acoustic sensor of the plurality of modeled acoustic sensors and thereby obtain simulated acoustic signals,
calculate, using the forward model, phases of the simulated acoustic signals received at each modeled acoustic sensor,
obtain, using a principle of reciprocity, a plurality of modeled acoustic sources in the modeled source area and a single modeled acoustic sensor in the modeled wellbore,
calculate phase delays of the simulated acoustic signals between each modeled acoustic source and the single modeled acoustic sensor,
actuate the plurality of acoustic sensors to detect the acoustic signals,
process the detected acoustic signals using the phase delays and thereby generate a flow likelihood map, and
determine, using the flow likelihood map, a location of the flow of the fluid in a subterranean formation surrounding the wellbore.
12. The system of claim 11 , wherein the wellbore of the modeled well structure is modeled as one of an open-hole wellbore and a cased wellbore.
13. The system of claim 11 , wherein the plurality of acoustic sensors are included in a linear array of acoustic sensors that is disposed along a longitudinal axis of the wellbore.
14. The system of claim 11 , wherein the modeled source area includes a first region having a higher probability of a presence of a flow as compared to a second region, and the plurality of modeled acoustic sensors are more densely packed in the first region as compared to the second region.
15. The system of claim 11 , wherein executing the program code further causes the data processing system to process the detected acoustic signals using beamforming.
16. The system of claim 11 , wherein executing the program code further causes the data processing system to select the forward model from a collection of forward models.
17. The system of claim 11 , wherein executing the program code further causes the data processing system to select the forward model based at least in part on a configuration or a condition of the wellbore.
18. The system of claim 11 , wherein executing the program code further causes the data processing system to actuate the plurality of acoustic sensors to detect the acoustic signals generated by at least one of the flow of the fluid in the wellbore, the flow of the fluid located in one or more subterranean formations penetrated by the wellbore, and the flow of the fluid in an annulus defined between one or more strings of casing lining the wellbore and the one or more subterranean formations penetrated by the wellbore.
19. The system of claim 11 , wherein executing the program code further causes the data processing system to generate the flow likelihood map to indicate a distribution of acoustic energy in the modeled source area.
20. The system of claim 11 , wherein executing the program code further causes the data processing system to determine a direction of the flow of the fluid based on the flow likelihood map.