Frequency Loop Shaping for Drilling Mud Viscosity and Density Control
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Solution Overview
Problem
Current drilling mud viscosity and density control methods rely heavily on time-domain optimization, which fails to effectively manage the diverse response times of different system components and is not robust against uncertainties and disturbances, leading to inefficiencies and inaccuracies in drilling processes.
Innovation Solution
Implementing a real-time frequency loop shaping method for multiple inputs multiple outputs (MIMO) systems, which shapes the frequency response of the entire system on-line to achieve desirable tracking accuracy and robustness, using a frequency loop shaping filter and weighting functions to optimize viscosity and density control with low computational cost.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If time-domain optimization is used for drilling mud viscosity and density control, then the control method is simple to implement, but it fails to effectively manage diverse response times of system components and is not robust against uncertainties and disturbances
Solution Approach 1:
The patent transforms the control approach from time-domain to frequency-domain optimization, changing the fundamental parameter domain. This allows the system to handle diverse response times by analyzing and controlling each frequency component separately, improving robustness against uncertainties while maintaining computational tractability through frequency-loop shaping techniques.
Solution Approach 2:
The patent introduces a frequency dimension to the control problem, moving from traditional time-domain single-input single-output control to frequency-domain multiple-input multiple-output control. This dimensional transformation enables simultaneous optimization of multiple system components with different response times, achieving better robustness without sacrificing implementation feasibility.
2Measurement precision
If frequency loop shaping method is implemented for MIMO systems, then tracking accuracy and robustness are improved, but computational complexity increases
Solution Approach 1:
The patent segments the complex MIMO control problem into multiple independent frequency-loop shaping sub-problems. By decomposing the system into frequency components and applying shaping filters to each loop separately, the method achieves high tracking accuracy while keeping computational complexity manageable through modular optimization of individual frequency loops rather than solving the entire MIMO system simultaneously.
3Productivity
If real-time frequency loop shaping is applied, then control speed and accuracy are enhanced, but system complexity increases
Solution Approach 1:
The patent implements preliminary frequency-loop shaping filter design and weighting function selection before real-time control execution. By pre-configuring the frequency response characteristics and optimization weights, the system achieves fast real-time control performance without requiring complex on-the-fly calculations, thus enhancing control speed while managing system complexity through advance preparation of control parameters.
Data Source
AI summary
Methods control systems for viscosity and density control may include a frequency loop shaping filter for shaping the frequency response in real-time for a multiple inputs multiple outputs (MIMO) system. For example, a method may include drilling a wellbore while circulating a drilling mud through a viscosity and density control system that includes one of: a mechanical separation system, a dilution system, a chemical additive regulation system, and any combination thereof; applying a frequency loop shaping filter to a desired mud viscosity and a desired mud density to produce control signals: a first control signal for the mechanical separation system, a second control signal for the dilution system, a third control signal for the chemical additive regulation system, and any combination thereof; and applying the control signals to the corresponding systems to alter the drilling mud to have a controlled viscosity value and a controlled density value.


