Efficient beam profile imaging for non-negligible wave properties and rotationally anisotropic geometries

A method for determining an acoustic property of one or more media, comprising:

• disposing at least one energy emitter and at least one energy receiver into a wellbore, wherein the at least one energy emitter and the at least one energy receiver,
• are communicatively coupled to an information handling system configured to control one or more operations of the at least one energy emitter, the at least one energy receiver, or both;
• and
• allow identification of the acoustic property of the one or more media controlling, via the information handling system, the at least one energy emitter to emit an acoustic ray into the one or more media, wherein the one or more media comprises a media of:
• a casing within the wellbore, a tubular within the wellbore, the formation surrounding the wellbore, a cement surrounding the wellbore, or any combination thereof;
• controlling via the information handling system, at least one energy receiver to receive a first signal corresponding to the acoustic ray at a first point in the one or more media;
• determining, via the information handling system, a value of the acoustic property of the one or more media by:
• encoding a first matrix based at least in part on a first set of information comprising one or more of a location of the first point, a direction of the first signal received at the first point, or a first wave property;
• receiving, at the at least one energy receiver, a second signal corresponding to the acoustic ray at a second point;
• encoding a second matrix based at least in part on a second set of information comprising one or more of a location of the second point, a direction of the second signal received at the second point, or a second wave property;
• determining a first value of the acoustic property of the one or more media based at least in part on a comparison between the first matrix and the second matrix;
• determining a second value of the acoustic property of the one or more media;
• encoding a difference between the first value and the second value into a third matrix;
• receiving, at the at least one energy receiver, a third signal corresponding to the acoustic ray at a third point;
• encoding a fourth matrix based at least in part on a third set of information comprising one or more of a location of the third point, a direction of the third signal received at the third point, or a third wave property;
• receiving, at the at least one energy receiver, a fourth signal corresponding to the acoustic ray at a fourth point;
• encoding a fifth matrix based at least in part on a fourth set of information comprising one or more of a location of the fourth point, a direction of the fourth signal received at the fourth point, or a fourth wave property;
• determining one or more perturbation effects associated with the one or more media based on one or more of the first, second, third, fourth, or fifth matrix, wherein the one or more perturbation effects comprise (1) one or more wave phenomena associated with the acoustic ray, (2) one or more geometric abnormalities associated with the acoustic ray, (3) one or more geometric abnormalities associated with the one or more media, or any combination thereof;
• based on the one or more perturbation effects, adjusting the first set of information, the second set of information, the third set of information, the fourth set of information, or any combination thereof;
• and
• determining, based on one or more of the adjusted first set of information, the adjusted second set of information, the adjusted third set of information, or the adjusted fourth set of information, a third value of the acoustic property of the one or more media;
• and
• determining, via the information handling system, a material, a condition, or both of the one or more media based on the third value of the acoustic property.

A system for determining an acoustic property of one or more media, comprising:

• an energy emitter;
• an energy receiver, wherein the energy emitter and the energy receiver allow identification of the acoustic property of the one or more media, wherein the one or more media comprises a media of:
• a casing within the wellbore, a tubular within the wellbore, a formation surrounding the wellbore, a cement surrounding the wellbore, or any combination thereof;
• a tubular object within the one or more media;
• and an information handling system coupled to and configured to control one or more of the energy emitter and the energy receiver, the information handling system comprising:
• a processor;
• and a non-transitory computer readable medium for storing one or more instructions that, when executed, causes the processor to:
• operate the energy emitter to produce an acoustic ray in the one or more media;
• operate the energy receiver to receive a first signal corresponding to the acoustic ray at a first point in the one or more media;
• determine a value of the acoustic property of the one or more media by:
• determining a first set of information based on the first signal;
• encoding a first matrix based on, at least in part, the first set of information, wherein the first set of information comprises one or more of a location of the first point, a direction of the acoustic ray at the first point, or a first wave property;
• receiving a second signal corresponding to the acoustic ray at a second point;
• determining a second set of information based on the second signal;
• encoding a second matrix based on, at least in part, the second set of information, wherein the second set of information comprises one or more of a location of the second point, a direction of the acoustic ray at the second point, or a second wave property;
• determining one or more perturbation effects associated with the one or more media based on the first matrix the second matrix, or both, wherein the one or more perturbation effects comprise (1) one or more wave phenomena associated with the acoustic ray, (2) one or more geometric abnormalities associated with the acoustic ray, (3) one or more geometric abnormalities associated with the one or more media, or any combination thereof;
• based on the one or more perturbation effects, adjusting the first set of information, the second set of information, or both;
• and determine, based on the adjusted first set of information, the adjusted second set of information, or both, the value of the acoustic property of the one or more media;
• and determine a material, a condition, or both of the one or more media based on the value of the acoustic property.

A system for determining an acoustic property of one or more media, comprising:

• an energy emitter;
• an energy receiver, wherein the energy emitter and the energy receiver allow identification of the acoustic property of the one or more media, wherein the one or more media comprises a media of:
• a casing within the wellbore, a tubular within the wellbore, a formation surrounding the wellbore, a cement surrounding the wellbore, or any combination thereof;
• a tubular object within the one or more media;
• and an information handling system coupled to and configured to control one or more of the energy emitter and the energy receiver, the information handling system comprising:
• a processor, programmed to determine a value of the acoustic property of the one or more media by;
• operate the energy emitter to produce an acoustic ray into the one or more media;
• operate the energy receiver to receive a first signal corresponding to the acoustic ray at a first point in the one or more media;
• encode a first matrix based on one or more of a first plurality of wave properties, a location of the first point, or a direction of the acoustic ray at the first point;
• operate the energy receiver to receive a second signal corresponding to the acoustic ray at a second point;
• encode a second matrix based on one or more of a second plurality of wave properties, a location of the second point, or a direction of the acoustic ray at the second point;
• determining one or more perturbation effects associated with the one or more media based on the first matrix, the second matrix, or both, wherein the one or more perturbation effects comprise (1) one or more wave phenomena associated with the acoustic ray, (2) one or more geometric abnormalities associated with the acoustic ray, (3) one or more geometric abnormalities associated with the one or more media, or any combination thereof;
• adjusting, based on the one or more perturbation effects, the first matrix, the second matrix, or both;
• and determine, based on the adjusted first matrix, the adjusted second matrix, or both, the value of the acoustic property of the one or more media;
• and determine a material, a condition, or both of the one or more media based on the value of the acoustic property.