A gyroscope apparatus for a device including an accelerometer and a magnetic component has a gravity vector generator connected to the accelerometer and receptive to acceleration readings therefrom. A magnetic component output generator is connected to the magnetic component and receptive to magnetic component readings. A sensor fusion engine is connected to the gravity vector generator and to the magnetic component output generator, with a gravity vector value and a magnetic field vector value at a first time instance being combined to represent a first orientation value. The gravity vector value and the magnetic field vector value at a second time instance are combined to represent a second orientation value. An orientation rate of change is derived from a difference between the first orientation value and the second orientation value.

Provided is a method of measuring a change in the density of an underground material. To measure the change in the density of the underground material, a borehole is installed above a target underground material and a first gravimeter and a second gravimeter are installed outside and inside of the borehole, respectively. Sequentially, a change in the density of the target underground material is calculated based on a first gravitational change and a second gravitational change measured using the first gravimeter and the second gravimeter. According to the method, it is possible to precisely measure the change in the density of the target underground material, such as an oil, a gas, etc., stored in an underground reservoir and carbon dioxide injected into an underground storage.

Provided is a method of measuring a change in the density of an underground material. To measure the change in the density of the underground material, a borehole is installed above a target underground material and a first gravimeter and a second gravimeter are installed outside and inside of the borehole, respectively. Sequentially, a change in the density of the target underground material is calculated based on a first gravitational change and a second gravitational change measured using the first gravimeter and the second gravimeter. According to the method, it is possible to precisely measure the change in the density of the target underground material, such as an oil, a gas, etc., stored in an underground reservoir and carbon dioxide injected into an underground storage.

A method for determining the bend of a tubular structure, including determining the inclination of first and second rigid objects fixed in distinct locations along the tubular structure. The method includes supplying accelerometers (A.sub.1, . . . A.sub.N) rigidly linked by the object to measure an acceleration in at least one direction of measurement (vj), the respective directions of measurement of at least two of said accelerometers being non-collinear. The measurement, by the accelerometers, of the components of the Earth's gravitational field along said directions of measurement, the measurement providing, for each of said directions, a measurement value, denoted m.sub.j for a measurement direction of index i. The method includes solving a defined matrix equation to determine the inclination ? of the object relative to the reference frame of reference.

A method for determining the bend of a tubular structure, including determining the inclination of first and second rigid objects fixed in distinct locations along the tubular structure. The method includes supplying accelerometers (A.sub.1, . . . A.sub.N) rigidly linked by the object to measure an acceleration in at least one direction of measurement (vj), the respective directions of measurement of at least two of said accelerometers being non-collinear. The measurement, by the accelerometers, of the components of the Earth's gravitational field along said directions of measurement, the measurement providing, for each of said directions, a measurement value, denoted m.sub.j for a measurement direction of index i. The method includes solving a defined matrix equation to determine the inclination ? of the object relative to the reference frame of reference.

A high frequency gravitational wave generator including a gas filled shell with an outer shell surface, microwave emitters, sound generators, and acoustic vibration resonant gas-filled cavities. The outer shell surface is electrically charged and vibrated by the microwave emitters to generate a first electromagnetic field. The acoustic vibration resonant gas-filled cavities each have a cavity surface that can be electrically charged and vibrated by acoustic energy from the sound generators such that a second electromagnetic field is generated. The two acoustic vibration resonant gas-filled cavities are able to counter spin relative to each other to provide stability, and propagating gravitational field fluctuations are generated when the second electromagnetic field propagates through the first electromagnetic field.

A high frequency gravitational wave generator including a gas filled shell with an outer shell surface, microwave emitters, sound generators, and acoustic vibration resonant gas-filled cavities. The outer shell surface is electrically charged and vibrated by the microwave emitters to generate a first electromagnetic field. The acoustic vibration resonant gas-filled cavities each have a cavity surface that can be electrically charged and vibrated by acoustic energy from the sound generators such that a second electromagnetic field is generated. The two acoustic vibration resonant gas-filled cavities are able to counter spin relative to each other to provide stability, and propagating gravitational field fluctuations are generated when the second electromagnetic field propagates through the first electromagnetic field.

The present application relates sensing reactive components in fluids by monitoring band gap changes to a material having interacted with the reactive components via physisorption and/or chemisorption. In some embodiments, the sensors of the present disclosure include the material as a reactive surface on a substrate. The band gap changes may be detected by measuring conductance changes and/or spectroscopic changes. In some instances, the sensing may occur downhole during one or more wellbore operations like drilling, hydraulic fracturing, and producing hydrocarbons.

A gravitational radiation communication system. The system includes a gravitational radiation transmitter and a gravitational radiation receiver. Each of the transmitter and the receiver includes a first cylindrical superconducting cavity, having a first length, a first diameter, and an entrance aperture for electromagnetic radiation; a second cylindrical superconducting cavity, having a second length, a second diameter, and a first aperture for gravitational radiation, the second cavity being coaxial with and adjacent the first cavity; and a superconducting movable membrane positioned between the first cavity and the second cavity and configured to provide parametric amplification of electromagnetic fields in the second cavity. The first aperture is configured to pass gravitational radiation.

A gravitational radiation communication system. The system includes a gravitational radiation transmitter and a gravitational radiation receiver. Each of the transmitter and the receiver includes a first cylindrical superconducting cavity, having a first length, a first diameter, and an entrance aperture for electromagnetic radiation; a second cylindrical superconducting cavity, having a second length, a second diameter, and a first aperture for gravitational radiation, the second cavity being coaxial with and adjacent the first cavity; and a superconducting movable membrane positioned between the first cavity and the second cavity and configured to provide parametric amplification of electromagnetic fields in the second cavity. The first aperture is configured to pass gravitational radiation.