Drilling & Well Completion

Bingham Plastic

Understanding Bingham Plastics: A Key to Flowing Oil & Gas

In the oil and gas industry, understanding the behavior of fluids is critical for efficient production and transportation. While many fluids behave in a straightforward manner, some exhibit more complex flow characteristics. One such fluid type is known as a Bingham plastic.

Bingham plastics are fluids that exhibit a unique flow behavior: they initially act like solids, resisting deformation until a certain threshold stress is reached. Once this threshold, known as the yield point, is exceeded, the fluid starts to flow, displaying a linear relationship between shear stress and shear rate.

Here's a breakdown of the key terms:

  • Shear Stress: The force per unit area that causes deformation in a fluid.
  • Shear Rate: The rate at which a fluid deforms under shear stress.
  • Yield Point: The minimum shear stress required for a Bingham plastic to begin flowing. It's the point where the fluid transitions from a solid-like state to a fluid-like state.
  • Plastic Viscosity: The slope of the linear relationship between shear stress and shear rate after the yield point is reached. It represents the resistance to flow once the fluid is moving.

Why are Bingham plastics important in oil & gas?

Many fluids encountered in the oil and gas industry, like drilling muds, hydraulic fracturing fluids, and some crude oils, exhibit Bingham plastic behavior.

  • Drilling Mud: Bingham plastic behavior in drilling mud helps stabilize the wellbore, prevent blowouts, and carry cuttings to the surface. The yield point ensures the mud maintains its integrity, while the plastic viscosity allows it to flow efficiently.
  • Hydraulic Fracturing Fluids: These fluids are pumped into formations to create fractures and increase oil and gas production. Bingham plastic properties ensure the fluids effectively create and prop open these fractures.
  • Crude Oil: Some crude oil types exhibit Bingham plastic behavior, especially at high pressures and low temperatures. Understanding this behavior is essential for pipeline design and transportation optimization.

Understanding Bingham plastic behavior allows engineers to:

  • Design efficient drilling operations: Choosing the right drilling mud with suitable yield point and plastic viscosity ensures stable wellbore conditions.
  • Maximize hydraulic fracturing success: Optimizing the yield point and plastic viscosity of fracturing fluids ensures efficient fracture creation and propagation.
  • Optimize pipeline design and operations: Accurately predicting the flow behavior of Bingham plastic crude oil helps ensure efficient and safe transportation.

Beyond the Basics:

While the Bingham plastic model offers a simplified representation of these fluids, more complex rheological models may be needed for accurate predictions in specific applications. These models take into account factors like temperature, pressure, and the presence of additives.

In conclusion, understanding the behavior of Bingham plastics is crucial for optimizing operations in the oil and gas industry. By utilizing the knowledge of yield point and plastic viscosity, engineers can ensure safe and efficient drilling, hydraulic fracturing, and oil and gas transportation processes. As we move towards more complex and challenging applications, further understanding of these fluids will be vital to unlock the full potential of the oil and gas industry.


Test Your Knowledge

Quiz: Understanding Bingham Plastics

Instructions: Choose the best answer for each question.

1. What is the defining characteristic of a Bingham plastic?

a) It flows at a constant rate, regardless of shear stress. b) It exhibits a linear relationship between shear stress and shear rate. c) It acts like a solid until a certain threshold stress is reached. d) It readily changes its viscosity depending on temperature and pressure.

Answer

c) It acts like a solid until a certain threshold stress is reached.

2. What is the "yield point" of a Bingham plastic?

a) The maximum shear stress the fluid can withstand before breaking. b) The point where the fluid becomes completely liquid. c) The minimum shear stress required for the fluid to begin flowing. d) The temperature at which the fluid transitions from solid to liquid.

Answer

c) The minimum shear stress required for the fluid to begin flowing.

3. Which of these is NOT an example of a Bingham plastic fluid found in the oil and gas industry?

a) Drilling mud b) Hydraulic fracturing fluid c) Lubricating oil d) Some types of crude oil

Answer

c) Lubricating oil

4. What is the significance of the "plastic viscosity" of a Bingham plastic?

a) It measures the fluid's resistance to flow once it is moving. b) It determines the fluid's ability to maintain its shape under pressure. c) It indicates the temperature at which the fluid becomes solid. d) It represents the amount of force needed to initiate flow.

Answer

a) It measures the fluid's resistance to flow once it is moving.

5. How does understanding Bingham plastic behavior help optimize drilling operations?

a) By ensuring the mud remains solid and stable in the wellbore. b) By allowing the mud to flow easily even at low shear stresses. c) By choosing mud with suitable yield point and plastic viscosity for efficient drilling. d) By eliminating the need for drilling mud altogether.

Answer

c) By choosing mud with suitable yield point and plastic viscosity for efficient drilling.

Exercise: Drilling Mud Design

Scenario: You are tasked with designing a drilling mud for a new oil well. The well will be drilled through a formation with high pressure and potential for instability. You need to choose a drilling mud that will effectively stabilize the wellbore, prevent blowouts, and carry cuttings to the surface.

Task:

  1. Explain how the yield point and plastic viscosity of the drilling mud are crucial for achieving these objectives.
  2. Describe two specific properties of the drilling mud that you would consider adjusting to optimize its performance based on the given scenario.
  3. Justify your choices by explaining how the adjustments will improve the mud's ability to stabilize the wellbore, prevent blowouts, and carry cuttings.

Exercice Correction

1. **Yield Point and Plastic Viscosity:** * **Yield Point:** A high yield point ensures the drilling mud maintains its integrity under the high pressure conditions. It prevents the mud from being squeezed out of the wellbore, ensuring a stable column that controls pressure and prevents blowouts. * **Plastic Viscosity:** A suitable plastic viscosity allows the mud to flow efficiently, carrying cuttings to the surface. Low viscosity would allow cuttings to settle, while high viscosity would make pumping difficult and could lead to excessive pressure build-up. 2. **Specific Property Adjustments:** * **Increasing the Yield Point:** To counteract the high formation pressure, increasing the yield point would create a more resistant mud column, preventing fluid loss and maintaining wellbore stability. * **Adjusting Plastic Viscosity:** While a higher viscosity might initially seem beneficial for carrying cuttings, a balance needs to be found. The viscosity should be high enough for efficient cuttings transport, but not so high that it creates excessive pressure or slows down pumping operations. 3. **Justification:** * **Increased Yield Point:** This would create a denser, more resistant mud column that can withstand the pressure exerted by the formation, preventing blowouts and maintaining wellbore integrity. * **Adjusted Plastic Viscosity:** Carefully adjusting the viscosity would ensure efficient cuttings removal without creating excessive pressure or hindering drilling operations.


Books

  • "Introduction to Fluid Mechanics" by Fox, McDonald, and Pritchard: This textbook provides a comprehensive overview of fluid mechanics, including chapters on non-Newtonian fluids like Bingham plastics.
  • "Rheology of Drilling Fluids" by Chenevert: This book specifically focuses on the rheological properties of drilling muds, including Bingham plastic behavior, and its relevance to drilling operations.
  • "Fundamentals of Hydraulic Fracturing" by Economides and Nolte: This book explores the principles of hydraulic fracturing and discusses the role of Bingham plastic fluids in creating and propping open fractures.
  • "Petroleum Engineering Handbook" by SPE: This comprehensive handbook provides information on various aspects of petroleum engineering, including chapters on fluid flow and the behavior of Bingham plastics in oil production.

Articles

  • "A Review of Bingham Plastic Fluid Models and Their Application in Petroleum Engineering" by A.A. Khan et al. (Journal of Petroleum Science and Engineering): This paper provides a detailed overview of different Bingham plastic models and their applications in the oil and gas industry.
  • "Rheological Properties of Drilling Fluids: A Review" by M.A. Khan et al. (Journal of King Saud University - Engineering Sciences): This article reviews the rheological properties of drilling muds and their importance in drilling operations.
  • "Hydraulic Fracturing Fluids: An Overview" by J.L. Gidley et al. (SPE Production & Operations): This paper discusses the properties of hydraulic fracturing fluids and their role in enhancing oil and gas production.

Online Resources

  • Society of Petroleum Engineers (SPE) Website: SPE is a professional organization for petroleum engineers and offers a wealth of resources, including publications, conferences, and online learning modules related to oil and gas engineering, including Bingham plastic behavior.
  • Schlumberger Oilfield Glossary: This glossary provides definitions and explanations of various terms related to the oil and gas industry, including Bingham plastic.
  • Wikipedia: Bingham Plastic: This Wikipedia page offers a concise overview of Bingham plastic behavior, its properties, and applications.

Search Tips

  • "Bingham plastic model oil & gas"
  • "Rheology drilling mud"
  • "Hydraulic fracturing fluid rheology"
  • "Crude oil rheology"
  • "Yield point Bingham plastic"
  • "Plastic viscosity Bingham plastic"
  • "Non-Newtonian fluid flow oil & gas"
  • "Oil & gas fluid mechanics"

Techniques

Understanding Bingham Plastics: A Key to Flowing Oil & Gas

Chapter 1: Techniques for Determining Bingham Plastic Properties

Determining the rheological properties of a Bingham plastic, specifically its yield stress and plastic viscosity, requires specialized techniques. These techniques are crucial for characterizing fluids used in drilling, fracturing, and transportation within the oil and gas industry. Common methods include:

  • Rheometer Measurements: Rotary rheometers are the most common tool. These instruments apply controlled shear stress or shear rate to a sample and measure the resulting shear rate or shear stress, respectively. Data analysis then involves fitting the data to the Bingham plastic model (τ = τ0 + μpγ̇, where τ is shear stress, τ0 is yield stress, μp is plastic viscosity, and γ̇ is shear rate). Different rheometer geometries (e.g., concentric cylinders, cone-and-plate) can be used depending on the fluid's viscosity and the desired shear rate range.

  • Fann Viscometer Measurements: This is a common and relatively simple instrument widely used in the oil and gas industry for field measurements. It measures the torque required to rotate a bob within a fluid sample at different speeds. The obtained data can be analyzed to determine the yield point and plastic viscosity. While less precise than rheometers, it provides quick estimates in the field.

  • Capillary Rheometry: This method involves measuring the pressure drop across a capillary tube through which the fluid is flowing. Analysis of the pressure-flow rate data can be used to determine rheological properties, including the yield stress and plastic viscosity. This method is particularly useful for higher viscosity fluids.

  • Falling Sphere Viscometry: A sphere of known density and diameter is dropped into the fluid, and its settling velocity is measured. This velocity is related to the fluid's viscosity and can be used to estimate the plastic viscosity, though determining the yield stress is more challenging with this method.

The choice of technique depends on factors like the fluid's properties, the required accuracy, and the availability of equipment. Accurate measurements are essential for reliable predictions of fluid behavior in various oil and gas applications.

Chapter 2: Rheological Models for Bingham Plastics and Beyond

While the Bingham plastic model provides a useful simplification, real-world fluids often exhibit more complex behavior. This chapter explores the Bingham model and its limitations, along with alternative models that provide a more accurate representation:

  • The Bingham Plastic Model: This model, as previously discussed, assumes a linear relationship between shear stress and shear rate above the yield stress. Its simplicity makes it convenient for many engineering applications. However, it doesn't account for thixotropy (time-dependent viscosity) or other non-Newtonian behaviors often observed in drilling muds and fracturing fluids.

  • Herschel-Bulkley Model: This model extends the Bingham plastic model to account for shear-thinning behavior, where the viscosity decreases with increasing shear rate. The Herschel-Bulkley model is more versatile and can better represent the behavior of many complex fluids found in oil and gas operations.

  • Power-law Model: This model simplifies the relationship between shear stress and shear rate with a power-law exponent. It is often used for shear-thinning fluids but doesn't explicitly include a yield stress.

  • Casson Model: Another model used to describe yield stress fluids, particularly those exhibiting shear-thinning behavior, offers a different relationship between shear stress and shear rate compared to the Bingham model.

Selecting the appropriate model depends on the specific fluid and the accuracy required. Advanced models often require more complex parameter fitting and computational resources but provide a more realistic representation of fluid behavior.

Chapter 3: Software and Computational Tools for Bingham Plastic Analysis

Analyzing the behavior of Bingham plastics often requires specialized software and computational tools. These tools aid in data analysis, model fitting, and simulation of fluid flow in various applications. Key software and tools include:

  • Rheological Software Packages: Commercial software packages like RheoPlus (Anton Paar), OSIRIS (Thermo Fisher Scientific), and others provide comprehensive tools for data acquisition, analysis, and model fitting for rheological data. These packages often include features for fitting the Bingham plastic model and other non-Newtonian fluid models.

  • Computational Fluid Dynamics (CFD) Software: CFD software, such as ANSYS Fluent, COMSOL Multiphysics, and OpenFOAM, can simulate fluid flow in complex geometries, taking into account the non-Newtonian behavior of Bingham plastics. These simulations are crucial for optimizing pipeline design, predicting flow in drilling operations, and designing hydraulic fracturing treatments.

  • Spreadsheet Software and Programming Languages: Simple Bingham plastic calculations can be performed using spreadsheet software like Microsoft Excel or Google Sheets. More complex calculations and model fitting often require programming languages such as MATLAB, Python (with libraries like SciPy), or R.

The choice of software depends on the complexity of the analysis and the user's familiarity with different tools. Proper selection and usage of software are critical for reliable and accurate analysis of Bingham plastic behavior.

Chapter 4: Best Practices for Handling and Characterizing Bingham Plastics

Accurate characterization and handling of Bingham plastics are crucial for successful oil and gas operations. This chapter outlines best practices:

  • Sample Preparation: Proper sampling techniques are essential to ensure the representativeness of the sample and to avoid degradation or contamination. This includes careful collection, storage, and handling to maintain the sample's original properties.

  • Temperature Control: The rheological properties of Bingham plastics are highly temperature-dependent. Maintaining consistent temperature during measurement and operation is critical for accurate results and consistent performance.

  • Shear History Effects: Many Bingham plastics exhibit thixotropy, meaning their viscosity changes with shear history. Standardized testing procedures should be followed to minimize the influence of shear history.

  • Data Analysis and Model Selection: Appropriate statistical methods should be used to analyze rheological data and select the best-fitting rheological model. Model selection should be based on the goodness of fit and the physical relevance of the model parameters.

  • Quality Control: Regular calibration and maintenance of rheological instruments are crucial for ensuring the accuracy and reliability of measurements.

Adhering to these best practices ensures that the Bingham plastic’s behavior is accurately characterized, leading to better design and operational decisions.

Chapter 5: Case Studies of Bingham Plastics in Oil & Gas Applications

This chapter presents real-world examples illustrating the importance of understanding Bingham plastic behavior in different oil and gas applications:

  • Case Study 1: Optimized Drilling Mud Formulation: This case study might detail how careful rheological characterization of drilling mud led to the development of a formulation with optimized yield stress and plastic viscosity, resulting in improved wellbore stability and reduced drilling complications.

  • Case Study 2: Hydraulic Fracturing Fluid Design: This could demonstrate how the rheological properties of fracturing fluids were optimized to ensure efficient fracture propagation and proppant transport, leading to increased hydrocarbon production.

  • Case Study 3: Pipeline Transportation of Heavy Crude Oil: This example could illustrate how an understanding of the Bingham plastic behavior of heavy crude oil allowed for the design of a pipeline system capable of transporting the oil efficiently and minimizing pressure losses.

  • Case Study 4: Addressing Non-Newtonian Flow Challenges in Enhanced Oil Recovery: This could examine the use of rheological models and simulation to design and optimize enhanced oil recovery techniques for reservoirs containing high viscosity, non-Newtonian fluids.

These case studies highlight the practical implications of understanding and characterizing Bingham plastic fluids in various stages of oil and gas production and transportation, showcasing the benefits of a rigorous approach.

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