Abstract: A method and system for estimating a wellbore curvature. The method may include disposing a rotary steerable system (RSS) into a borehole, storing a real-time curvature estimation for the borehole in an information handling system, wherein the information handling system is disposed on the RSS, taking a first attitude measurement at a first sensor, and taking a second attitude measurement at a second sensor. The method may further include applying a filter to at least the first attitude measurement and the second attitude measurement to form a filtered measurement set, performing a curvature estimation with the filtered measurement set to form an estimated curvature signal, comparing the estimated curvature signal to a curvature set point to find a difference, and adjusting at least one operating parameter of the RSS based on the difference.

Abstract: A method and system for estimating a wellbore curvature. The method may include disposing a rotary steerable system (RSS) into a borehole, storing a real-time curvature estimation for the borehole in an information handling system, wherein the information handling system is disposed on the RSS, taking a first attitude measurement at a first sensor, and taking a second attitude measurement at a second sensor. The method may further include applying a filter to at least the first attitude measurement and the second attitude measurement to form a filtered measurement set, performing a curvature estimation with the filtered measurement set to form an estimated curvature signal, comparing the estimated curvature signal to a curvature set point to find a difference, and adjusting at least one operating parameter of the RSS based on the difference.

Abstract: A method for controlling a drilling trajectory of a wellbore includes computing a position and attitude of a drill bit within a wellbore. The method further includes computing a wellbore trajectory error between (i) the position of the drill bit and a well plan position and (ii) the attitude of the drill bit and a well plan attitude. Further, the method includes determining an inclination set-point change command and an azimuth set-point change command using the wellbore trajectory error. Additionally, the method includes steering the drill bit using the inclination set-point change command and the azimuth set-point change command.

Abstract: The disclosed embodiments include systems and methods to improve downhole drilling. In one embodiment, a method to improve downhole drilling includes receiving a well plan, where the well plan is indicative of a well path to form a borehole of a hydrocarbon well is provided. The method also includes receiving measurements indicative of a previously-drilled section of the borehole. The method further includes generating, based on the measurements, a trajectory of the borehole, where the trajectory is a function of a depth. The method further includes providing the trajectory of the borehole to a Model Predictive Controller. The method further includes steering a tool towards the well path based on an output of the Model Predictive Controller.

Abstract: A method of drilling tendency estimation including receiving, at a processor, one or more directional sensor measurements from a drilling tool disposed on a drill string, processing, at the processor, the one or more directional sensor measurements to determine an actual wellbore trajectory over a defined interval, and identifying, at the processor, a set of directional disturbance parameters by optimization of the actual trajectory of the drilling tool, steering inputs, and/or a set of pre-defined directional disturbance parameters of the drilling tool.

Abstract: Techniques for estimating a current inclination and azimuth of a drill bit of a wellbore drilling system are described. The estimates for the current inclination and azimuth are generated using measurements obtained for one or more parameters associated with the drilling process performed by the drill bit and taken over a range of the wellbore falling within a sliding window having a predefined distance D extending along the wellbore.

Abstract: A method for controlling a drilling trajectory of a wellbore includes computing a position and attitude of a drill bit within a wellbore. The method further includes computing a wellbore trajectory error between (i) the position of the drill bit and a well plan position and (ii) the attitude of the drill bit and a well plan attitude. Further, the method includes determining an inclination set-point change command and an azimuth set-point change command using the wellbore trajectory error. Additionally, the method includes steering the drill bit using the inclination set-point change command and the azimuth set-point change command.

Abstract: The disclosed embodiments include systems and methods to improve down-hole drilling. In one embodiment, a method to improve downhole drilling includes receiving a well plan, where the well plan is indicative of a well path to form a borehole of a hydrocarbon well is provided. The method also includes receiving measurements indicative of a previously-drilled section of the borehole. The method further includes generating, based on the measurements, a trajectory of the borehole, where the trajectory is a function of a depth. The method further includes providing the trajectory of the borehole to a Model Predictive Controller. The method further includes steering a tool towards the well path based on an output of the Model Predictive Controller.

Abstract: One or more wellbore trajectories and respective control inputs are determined which meet a wellbore trajectory model, a constraint, and a wellbore length. A wellbore trajectory and respective control input from the one or more wellbore trajectories and respective control inputs are then identified which minimize a cost function associated with the performance objective. The control input associated with this wellbore trajectory are output to a drilling system for drilling a wellbore.

Abstract: Techniques for estimating a current inclination and azimuth of a drill bit of a wellbore drilling system are described. The estimates for the current inclination and azimuth are generated using measurements obtained for one or more parameters associated with the drilling process performed by the drill bit and taken over a range of the wellbore falling within a sliding window having a predefined distance D extending along the wellbore.

Abstract: One or more sensors are positioned downhole in a wellbore of a geological formation. One or more survey directional measurements associated with the wellbore are performed and one or more continuous directional measurements associated with the wellbore are performed. A wellbore trajectory model projects a trajectory of the wellbore to respective measured depths where at least one of the one or more survey directional measurements and one or more continuous directional measurements were performed to predict one or more directional measurements of the wellbore at the respective measured depths. One or more errors are determined based on the predicted one or more directional measurements, the one or more survey directional measurements, and the one or more continuous directional measurements. The wellbore trajectory model is calibrated based on the one or more errors.

Abstract: One or more wellbore trajectories and respective control inputs are determined which meet a wellbore trajectory model, a constraint, and a wellbore length. A wellbore trajectory and respective control input from the one or more wellbore trajectories and respective control inputs are then identified which minimize a cost function associated with the performance objective. The control input associated with this wellbore trajectory are output to a drilling system for drilling a wellbore.

Abstract: A method of drilling tendency estimation including receiving, at a processor, one or more directional sensor measurements from a drilling tool disposed on a drill string, processing, at the processor, the one or more directional sensor measurements to determine an actual wellbore trajectory over a defined interval, and identifying, at the processor, a set of directional disturbance parameters by optimization of the actual trajectory of the drilling tool, steering inputs, and/or a set of pre-defined directional disturbance parameters of the drilling tool.