Managed Pressure Drilling Bulk Modulus Estimation
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Solution Overview
Problem
Conventional managed pressure drilling (MPD) systems face challenges in accurately estimating the effective bulk modulus, which affects downhole pressure control due to factors like gas presence, temperature variations, and measurement biases, leading to suboptimal dynamic response and performance.
Innovation Solution
A method that estimates the effective bulk modulus using an inversion algorithm on a programmable logic controller (PLC) within the MPD system, accounting for measurement bias and allowing real-time adjustments to control parameters, such as gain and time constants, to improve pressure control and fluid compressibility management.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If nominal values of bulk modulus are used in conventional MPD systems, then the system can operate with simple control settings, but the accuracy of downhole pressure control deteriorates due to not accounting for cuttings, temperature variations, and other real-world effects
Solution Approach 1:
The system implements an inversion algorithm that continuously processes measured pressure and flow rate data to estimate the effective bulk modulus in real-time. This feedback mechanism allows the control system to adapt to changing well conditions (cuttings, temperature variations, gas presence) by updating the bulk modulus estimate based on actual measurements rather than relying on nominal values, thereby improving pressure control accuracy while maintaining manageable system complexity through automated adaptation
Solution Approach 2:
The MPD system performs self-diagnosis and self-adjustment by using its own measurement data (pressure and flow rate) to estimate the effective bulk modulus through the inversion algorithm. The system automatically identifies measurement biases and corrects for them, and adjusts control parameters based on the estimated bulk modulus without requiring external intervention or complex manual calibration, enabling the system to adapt to changing conditions autonomously
2Reliability
If measurement bias is not corrected in flow meters, then the measurement system remains simple, but the estimate of effective bulk modulus deteriorates significantly, affecting MPD system performance
Solution Approach 1:
The inversion algorithm processes measured pressure and flow rate data to estimate the effective bulk modulus while simultaneously identifying measurement biases. By using feedback from the measured data, the system detects inconsistencies that indicate bias and corrects for them in the bulk modulus estimation, improving reliability without requiring separate calibration systems or additional measurement devices
Solution Approach 2:
The inversion algorithm acts as an intermediary that processes the raw measurements from flow meters and pressure sensors. It mediates between the potentially biased measurements and the final bulk modulus estimate by identifying and correcting for measurement biases through mathematical processing, thereby improving the reliability of the estimation without requiring direct modification of the measurement instruments themselves
3Adaptability or versatility
If the effective bulk modulus is not accurately known, then the MPD control system cannot predict the dynamic response of annulus pressure and flow changes, but obtaining accurate knowledge requires complex measurement and calculation systems
Solution Approach 1:
The system implements a dynamic estimation approach where the effective bulk modulus is continuously updated in real-time as drilling conditions change. The inversion algorithm processes sequential measurements of pressure and flow rate to track changes in the bulk modulus, enabling the control system to predict dynamic responses to pressure and flow changes adaptively rather than relying on static nominal values, thereby improving versatility while maintaining manageable complexity through automated real-time processing
Solution Approach 2:
The system changes the parameter estimation approach from using fixed nominal values to dynamically estimating the effective bulk modulus based on actual measurements. The inversion algorithm continuously updates the bulk modulus parameter as drilling conditions change (temperature gradients, gas presence, cuttings concentration), enabling the control system to adapt to varying well conditions and predict dynamic responses accurately without requiring complex manual recalibration procedures
Data Source
AI summary
A method for use with a managed pressure drilling (MPD) system, the system including a drill string having a drill bit, an annulus defined outside of the drill string, a mud pump for pumping mud down through the drill string and back up through the annulus, a control choke in an extraction path coupled to the annulus, a back pressure pump also coupled to the extraction path, and a programmable logic controller (PLC) for controlling the control choke, the method including: a) performing measurements to determine a dataset including, for each of a plurality of time steps k: a value of fluid flow rate through the drill bit qbit[k], a value of fluid flow rate through the control choke qc[k], a value of fluid flow rate from the back pressure pump qbpp[k] and a value of fluid pressure at the control choke pc[k]; b) executing an inversion algorithm on the PLC to obtain a value for the bulk modulus of a fluid within the annulus, the inversion algorithm taking the dataset as an input, wherein the inversion algorithm accounts for a measurement bias bq in one or more of said measurements; c) updating one or more control parameters of the PLC based on the value for the bulk modulus; and d) manipulating the control choke using the PLC to attain a desired pressure in the system.


