Measuring gravity curvature for mapping subterranean formations

A method comprising:

• positioning a matter wave interferometer relative to a subterranean formation;
• producing at least one cloud of atoms in the matter wave interferometer;
• producing a superposition of atoms in two different, spatially separated superimposed clouds from each of the at least one cloud of atoms, wherein the superposition is produced with a Raman laser beam, generated from a location using a laser;
• propagating the two different, spatially separated superimposed clouds along the matter wave interferometer as the two different, spatially separated superimposed clouds interact with a gravitational field of the subterranean formation;
• combining the two different, spatially separated superimposed clouds for each of the at least one cloud of atoms with a Raman laser beam;
• measuring an interference produced by producing and combining the two different, spatially separated superimposed clouds for each of the at least one cloud of atoms;
• calculating gravity for the gravitational field of the subterranean formation based on the interference;
• and
• maintaining a position of atoms with a plurality of trapping laser lights, produced from other locations using other lasers, before producing the superposition of atoms.

A wellbore tool comprising:

• a housing coupled to a conveyance and containing at least a portion of a matter wave interferometer capable of producing, splitting, and recombining two or more clouds of atoms in a magnetic shield;
• wherein the matter wave interferometer is further capable of measuring the derivative of gravity, wherein measuring the derivative of gravity involves:
• producing a superposition of atoms with a Raman laser beam, generated from a location using a laser;
• combining the superposition of atoms with a laser light;
• and
• maintaining a position of atoms with a plurality of trapping laser lights, produced from other locations using other lasers, before producing the superposition of atoms.

A system comprising:

• a vehicle positioned relative to a subterranean formation, the vehicle coupled to a matter wave interferometer capable of producing two or more clouds of atoms in a magnetic shield;
• wherein the matter wave interferometer is further capable of measuring the derivative of gravity, wherein measuring the derivative of gravity involves:
• producing a superposition of atoms with a Raman laser beam, generated from a surface location;
• combining the superposition of atoms with a laser light;
• and
• maintaining a position of atoms with a plurality of trapping laser lights, produced from other locations using other lasers, before producing the superposition of atoms.