A method may comprise measuring during a survey operation a gravitational field data using a survey accelerometer and magnetic field data using a survey magnetometer and determining during a drilling operation an azimuth of a wellbore based on the gravitational field data and the magnetic field data obtained during the survey operation. A system may comprise a drilling rig; a pipe string attached to the drilling rig; a bottom hole assembly attached to the pipe string, wherein the bottom hole assembly comprises at least one sensor; a drill bit, wherein the at least one sensor measure a revolutions-per-minute (RPM) of the drill bit; and a computing subsystem.

A method may comprise measuring during a survey operation a gravitational field data using a survey accelerometer and magnetic field data using a survey magnetometer and determining during a drilling operation an azimuth of a wellbore based on the gravitational field data and the magnetic field data obtained during the survey operation. A system may comprise a drilling rig; a pipe string attached to the drilling rig; a bottom hole assembly attached to the pipe string, wherein the bottom hole assembly comprises at least one sensor; a drill bit, wherein the at least one sensor measure a revolutions-per-minute (RPM) of the drill bit; and a computing subsystem.

A method for determining a location of a proppant in a subterranean formation includes obtaining a first set of data in a wellbore using a downhole tool. The proppant is pumped into the wellbore after the first set of data is obtained. The proppant is pumped while or after the subterranean formation is fractured. A second set of data is obtained in the wellbore using the downhole tool after the proppant is pumped into the wellbore. The first set of data and the second set of data include a gravitational field measurement. The first and second sets of data are compared, and in response to the comparison, the location of the proppant in the subterranean formation is determined.

A method for determining a location of a proppant in a subterranean formation includes obtaining a first set of data in a wellbore using a downhole tool. The proppant is pumped into the wellbore after the first set of data is obtained. The proppant is pumped while or after the subterranean formation is fractured. A second set of data is obtained in the wellbore using the downhole tool after the proppant is pumped into the wellbore. The first set of data and the second set of data include a gravitational field measurement. The first and second sets of data are compared, and in response to the comparison, the location of the proppant in the subterranean formation is determined.

Methods and systems of the present disclosure integrate time-lapse gravimetric data with dynamic reservoir modeling, whereby petrophysical constraints are applied to the inversion of the gravimetric data to constrain the resulting dynamic reservoir simulations.

Methods and systems of the present disclosure integrate time-lapse gravimetric data with dynamic reservoir modeling, whereby petrophysical constraints are applied to the inversion of the gravimetric data to constrain the resulting dynamic reservoir simulations.

An aerial-and-ground data combined gravity conversion method includes the following steps: calculate the first estimated ground gravity by the Runge-Kutta format 1, and calculate the first error between the first estimated ground gravity and the measured ground gravity; calculate the second estimated ground gravity by the Runge-Kutta format 2, and calculate the second error between the second estimated ground gravity and the measured ground gravity; and select the smaller one from the first and second errors, use the corresponding Runge-Kutta format as the Runge-Kutta format for gravity conversion, and finish the gravity data conversion using the mentioned Runge-Kutta format.

An aerial-and-ground data combined gravity conversion method includes the following steps: calculate the first estimated ground gravity by the Runge-Kutta format 1, and calculate the first error between the first estimated ground gravity and the measured ground gravity; calculate the second estimated ground gravity by the Runge-Kutta format 2, and calculate the second error between the second estimated ground gravity and the measured ground gravity; and select the smaller one from the first and second errors, use the corresponding Runge-Kutta format as the Runge-Kutta format for gravity conversion, and finish the gravity data conversion using the mentioned Runge-Kutta format.

A system for drilling a wellbore into an earth formation includes a logging tool in the wellbore having at least one near-range measurement sensor, and a processor. The processor is configured to receive, at each depth along the wellbore, near-range measurement data and reference data related to a density of the formation, determine one or more near-range earth models that include a density model of a layer at each depth based on the near-range data constrained by the reference data, receive surface gravitational data from multiple surface locations, determine a mid-range or far-range formation model based on the near-range earth model and the surface gravitational data, and provide the mid-range or far-range formation model to a well driller for geosteering a drill bit into the earth formation.

A system for drilling a wellbore into an earth formation includes a logging tool in the wellbore having at least one near-range measurement sensor, and a processor. The processor is configured to receive, at each depth along the wellbore, near-range measurement data and reference data related to a density of the formation, determine one or more near-range earth models that include a density model of a layer at each depth based on the near-range data constrained by the reference data, receive surface gravitational data from multiple surface locations, determine a mid-range or far-range formation model based on the near-range earth model and the surface gravitational data, and provide the mid-range or far-range formation model to a well driller for geosteering a drill bit into the earth formation.