Piezoelectric leaf cell sensor array for multiphase gas-oil-water flow metering

A system for performing a wellbore operation, comprising:

• a wellbore penetrating a formation;
• a work string conveyed in the wellbore;
• and
• a fluid analysis tool suspended in the wellbore via the work string for measuring one or more properties of a fluid in the wellbore to facilitate the wellbore operation,
• wherein the fluid analysis tool comprises:
• an axial spring;
• and
• a plurality of arms movable, in response to extension of the axial spring, from a retracted position into an expanded position, each arm comprising at least one fluid sensor device for measuring the one or more properties of the fluid,
• wherein the plurality of arms is fixed at opposing ends and bendable at least one location between the opposing ends,
• wherein the plurality of arms is arranged about a central axis, and
• wherein the plurality of arms expand away from the central axis to position into the expanded position and contract towards the central axis to position into the retracted position;
• wherein the at least one fluid sensor device comprises:
• a leaf cell sensor comprising a piezoelectric structure acting on a subdomain of the fluid that flows through the piezoelectric structure to create an intrinsic Helmholtz cavity response;
• and
• an enclosure enclosing the leaf cell sensor and comprising:
• a flowthrough shroud comprising:
• an inlet that allows the fluid to enter the enclosure and pass across the leaf cell sensor;
• and
• a Helmholtz cavity wall that couples the intrinsic Helmholtz cavity response with an external acoustic field of the leaf cell sensor to increase a measurement sensitivity of the at least one fluid sensor device;
• a cylindrical housing comprising:
• an outlet that allows the fluid to exit the enclosure;
• and
• a pressure feedthrough connector that transmits an electrical signal induced by the intrinsic Helmholtz cavity response from the piezoelectric structure of the leaf cell sensor,
• wherein the at least one fluid sensor device is mounted on a Stephenson six-bar mechanism of a respective arm among the plurality of arms, and
• wherein the Stephenson six-bar mechanism maintains an orientation of the at least one fluid sensor device within ±3 degrees from an axis of the wellbore as the plurality of arms move from the retracted position into the expanded position in response to the extension of the axial spring as the fluid analysis tool traverses the wellbore, and
• wherein the electrical signal represents the one or more properties of the fluid.