Modeling and Control of Drillstring Dynamics for Vibration Suppression


Book Description

Drill-string vibrations could cause fatigue failure to downhole tools, bring damage to the wellbore, and decrease drilling efficiency; therefore, it is important to understand the drill-string dynamics through accurately modeling of the drill-string and bottom-hole assembly (BHA) dynamics, and then develop controllers to suppress the vibrations. Modeling drill-string dynamics for directional drilling operation is highly challenging because the drill-string and BHA bend with large curvatures. In addition, the interaction between the drill-string and wellbore wall could occur along the entire well. This fact complicates the boundary condition of modeling of drill-string dynamics. This dissertation presents a finite element method (FEM) model to characterize the dynamics of a directional drill-string. Based on the principle of virtual work, the developed method linearizes the drill-string dynamics around the central axis of a directional well, which significantly reduced the computational cost. In addition, a six DOF curved beam element is derived to model a curved drill-string. It achieves higher accuracy than the widely used straight beam element in both static and dynamic analyses. As a result, fewer curved beam elements are used to achieve the same accuracy, which further reduces the computational cost. During this research, a comprehensive drill-string and wellbore interaction model is developed as the boundary condition to simulate realistic drilling scenarios. Both static and dynamic analyses are carried out using the developed modeling framework. The static simulation can generate drill-string internal force as well as the drilling torque and drag force. The dynamic simulation can provide an insight of the underlying mechanism of drilling vibrations. Top drive controllers are also incorporated as torsional boundary conditions. The guidelines for tuning the control parameters are obtained from dynamic simulations. Drill-string vibrations can be suppressed through BHA configuration optimization. Based on the developed modeling framework, the BHA dynamic performance is evaluated using vibration indices. With an objective to minimize these indices, a genetic algorithm is developed to optimize the BHA stabilizer location for vibration suppression. After optimization, the BHA strain energy and the stabilizer side force, two of the vibration indices, are significantly reduced compared to the original design, which proves the BHA optimization method can lead to a significant reduction of undesirable drilling dynamics. At the end of this dissertation, reduced order models are also discussed for fast simulation and control design for real time operation




Investigation of Coupled Axial-lateral-torsional Drillstring Vibrations Using a Multi-body Dynamics Approach


Book Description

Drillstring vibration is a very crucial phenomenon which has a great effect on the drilling process. The drillstring is responsible to transfer rotary motion and energy to the drill bit. Unwanted vibration causes reduction in the rate of penetration (ROP), bit wear and connection failure between drillstring parts. In this thesis, a model of a realistic drill collar is generated which can predict any possible motion of the drill collar. This study contains several analyses about drillstring vibration in three main modes. The focus is on the drill collar section of the drillstring because of the importance of this section in vibration generation of the whole drillstring. This study attempts to determine the vibration behavior of the drill collar in axial, lateral and torsional directions in the presence of vibration-assisted rotary drilling (VARD) and unbalanced rotation. The model includes self weight, hydraulic forces due to drilling mud circulation and most realistic boundary condition for each particular scenario. This model also can be used for coupled vibration states and determination of vibration behavior of the drillstring in three coupled modes, simultaneously. Simulation results show the vibration behavior of the drillstring due to several cases and boundary conditions. The time response to each single mode is expressed and will be validated by finite element method (FEM). The vibration behavior of the rotating drillstring in three coupled modes will be studied using unbalanced rotation of the drillstring. The rock-bit interaction will also be applied to the model. Finally, the effect of the VARD tool will be examined.




Inverse Problems in Drill-string Torsional Vibration


Book Description

In this study, a method is developed to better model drill-string torsional vibration by using data to calibrate a Partial Differential Equation (PDE) based model. Drill-string vibration is a complex phenomenon that is widely studied with several approaches to model the complexities encountered in real life. Sensors are now more widely available that can acquire high frequency data needed for the approach described in this study. The goal of this study is to use synthetic data to calibrate a PDE torsional model by using an inverse problem approach as a proof of concept to implementation on real data. The outcome of this approach is a calibrated model that can be used in control systems which can be implemented in the field to mitigate severe torsional vibration. Torsional drill-string vibration was simulated using finite element method under different conditions of drill-string stiffness coefficients and damping coefficients varying along the entire length of the drill-string. Newmark beta method was used to perform the time stepping in the simulation giving us a more stable implicit formulation for time stepping which reduces the errors. Numerical methods were used to generate drill-string displacement data for the simulation time interval, which were then stored to act as input for subsequent processing to simulate input data from sensors. Adjoint based method was used to calculate the gradients of the optimization problem. Using gradient descent, we incrementally update the parameters to better approximate the synthetic data until the original parameters were recovered










The Effect of Well Path, Tortuosity and Drillstring Design on the Transmission of Axial and Torsional Vibrations from the Bit and Mitigation Control Strategies


Book Description

As well designs become increasingly complicated, a complete understanding of drillstring vibrations is key to maximize drilling efficiency, to reduce drillstring dysfunction and to minimize drillstring, tool, and borehole damage. Torque and drag models exist that seek to quantify the effects of borehole inclination and tortuosity on static friction along the drillstring; however, the effects on dynamic friction remains poorly understood. This dissertation begins with a review of the past fifty years of work on drillstring dynamics models, an overview of the proposed control strategies and a summary deployed vibration mitigation applications within the drilling industry. Derivations from first principles of a series of computationally efficient axial and torsional drillstring models in both the frequency and time domains are then presented and verified with field data. The transfer matrix approach is used to predict the severity of axial vibrations along the drillstring and is verified using a series of case studies using field data. Harmonic axial vibrations within drillstrings are either induced intentionally, in the case of axial oscillation tools midway along the drillstring, or unintentional, in the case of bit bounce. Two case studies of bit bounce are first evaluated to ensure model validity for a harmonic excitation at a the bit and the model is found to accurately predict bit bounce based on surface rotation rates. Induced axial oscillations, generated by axial oscillation tools, are then investigated to quantify friction reduction and drilling efficiency improvements. Optimal placement is found to depend on wellbore geometry, but is usually restricted to periodic regions of the drillstring. These optimizations are then verified using field trials and suggest that improved placement can result in 20% or more reduction in friction along the drillstring. Two applications of torsional drillstring vibrations are then investigated -- stick slip mitigation and drillstring imaging. The time domain form of the torsional drillstring model is used first to evaluate the effectiveness of three types of top drive controllers -- stiff controllers, tuned PI controllers and impedance matching controllers -- in mitigating stick slip oscillations. Then, the transfer matrix method is applied to evaluate the effect of wellbore geometry on drillstring mobility to conclude that higher order modes of stick slip may become dominant in non-vertical wellbores. The feasibility of drillstring imaging using torsional signals from surface is then investigated to identify inputs and methods that show promise in three setups of varying complexity -- a hanging beam, a laboratory drillstring model and a drilling rig. Two techniques show promise -- white noise injection and model fitting of a step response -- in identifying larger features, including drillstring length and BHA location. However, low sampling frequencies and low bandwidth inputs reduce the ability to image small features such as friction points along the wellpath.




Dynamic Analysis of a Drill-string Under Deterministic and Random Excitations


Book Description

Drill-strings are slender structures used to dig into the rock in search of oil and gas. Failures of drill-strings are time and money consuming and therefore the dynamics of drill-strings must be investigated and carefully controlled. In the thesis, a dynamic model of the drill-string that is suitable for predicting axial, torsional and lateral vibrations is built using Euler-Bernoulli beam theory. The drillstring is driven by a DC motor on the top and is subjected to distributed loads due to its own weight as well as bit/formation interaction. The model is axial-torsional, lateral-torsional coupled. Under deterministic excitations, the model captures stickslip behavior in drilling operation. Analysis on its negative effect on drilling performance is made, and potential mitigation measures are also discussed. In random model, the excitations to the drill-bit are modeled as combination of deterministic and random components. Monte Carlo (MC) simulation is employed to obtain the statistics of the response. Two cases of random excitation with different intensities are investigated. The results from MC simulation are compared against that from deterministic case. Secondly, the thesis focuses on the drill-string torsional vibration and its stick-slip analysis. A finite element model of the drillstring with inclusion of both deterministic and random excitations is also developed. Simulation is carried out under certain parameters and it is shown that in deterministic case the torsional vibration may behave stick-slip. With change of some parameters, bifurcation and chaos of the system are observed. In the random case, Monte Carlo simulation and path integration method are used to capture the probabilistic information of the response. The results of path integration match well to those of deterministic cases. Although there are some limitations, this thesis will help the author better understand drill-string downhole behaviors and lay a foundation for further research work.




Investigation of Drillstring Vibration Reduction Tools


Book Description

"Drilling related problems such as drillstring vibration is an important cause of premature failure of drillstring components and drilling inefficiency. The vibration of drillstring interferes with measurement collected while drilling. In severe cases, drillstring vibration will lead to wellbore instability that will result in an increase in the operation cost. In the late 1980's, a lot of studies and techniques were developed to mitigate drillstring vibration and downhole vibration measurements were introduced to the industry in two forms; real time measurements and memory devices measurements. A study of drillstring vibration of three different wells located in the Norwegian North Sea was analyzed. The bottom hole assembly (BHA) of two wells consisted of anti-vibration technology. The study involved a verification of anti stalling technology (AST) and V-stab vibration reduction tools. Part of the study illustrates the different in lateral vibration in different wells of matching lithology which include a statistical analysis of anti-vibration tools performance. Finally, a statistical analysis was conducted on downhole vibration measurement to investigate the sampling rate of the device. Alternating lithology has a big impact on lateral vibration; however, lateral vibration is not the same for different wells in the same formations due to the difference in the BHA assemblies. The study showed that lateral vibration using the V-stab was lower than the one using the AST tool. Considering torsional vibration, the analysis reveled [sic] that V-stab has a lower stick/slip severity than the AST tool. The field study showed that the roller-cone bit generates less torsional vibration than the PDC bit due to different cutting actions. One of the important findings was that there was no correlation between drillstring vibration and mechanical specific Energy (MSE)"--Abstract, leaf iii.