Understanding Water Pressure Calculation Methods in Deep Excavation Design

Understanding Water Pressure Calculation Methods in Deep Excavation Design

Water pressure is a critical factor in the design and stability of deep excavations. Improper estimation of water pressures can lead to excessive wall movements, reduced stability, and even structural failure. To address the challenges of accurate water pressure estimation, DeepEX software provides engineers with four distinct water pressure calculation methods: Simplified Flow (1D Flow), Hydrostatic Pressure, 2D Flownet Pressures (Finite Differences) and Unconfined Flow (water Drawdown). Each method offers unique advantages and is suited to different design scenarios. This article explores these calculation methods, detailing when and why to use each, and highlighting the versatility of DeepEX in enabling efficient, accurate excavation design.

1. Hydrostatic Pressure

Definition: Hydrostatic pressure is the force exerted by a fluid at rest, depending directly on the water’s depth and density. It assumes no flow, with water pressure increasing linearly with depth.

When to Use Hydrostatic Pressure:

  • Low-Permeability Sites: Hydrostatic pressure may be suitable for soil or rock with very low permeability, where groundwater movement is negligible.
  • Simplified Analysis and Early Design Phases: Hydrostatic pressure can be used for initial, conservative approximations, especially in early design stages, or when evaluating basic stability in low-risk scenarios.
  • Isolated Excavations or Projects with Limited Depth: It’s often applied in isolated excavations where an impermeable barrier would prevent flow—keeping in mind that this representation is only an approximation and lacks real-world groundwater dynamics.

While hydrostatic pressure calculations are straightforward, they are a simplified, conservative approximation, thus may not fit many excavation scenarios.

Figure 1: Hydrostatic water pressures in DeepEX

2. Simplified Flow (1D Flow)

Definition: The Simplified Flow or 1D Flow approach considers the vertical movement of water (flow in one direction) in soils, adding a dynamic element to pressure calculation. This method incorporates flow gradients and thus gives a more realistic estimation than hydrostatic assumptions alone, especially when water moves vertically through a soil layer.

When to Use 1D Flow:

  • Layered Soil Conditions: When excavations are conducted in stratified soils with varying permeability, such as sand overlying clay, the 1D Flow method offers a more accurate pressure profile by considering vertical water flow.
  • Intermediate Complexity: This method provides a middle ground between the simplicity of hydrostatic pressure and the detailed flow analysis of 2D methods.

1D Flow is particularly effective in managing excavation projects where flow in only one dimension significantly affects stability, providing a balance between simplicity and realistic results.

Figure 2: Simplified flow water pressures in DeepEX

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  1. Boost design efficiency: Save up to 90% of your design time based on customer testimonials.
  2. Expand your capabilities: Have all methods at your fingertips, from limit equilibrium to soil springs and 2D & 3D finite elements.
  3. Enhance your deliverables: Have time to quickly value engineer projects.
  4. Minimize risks and costly mistakes:  Stay safe with over 300 expert checks within the software.
  5. We are here for you: With us, beyond technical support you get expert advice.


3. Steady State Ground flow Analysis (2D Flownet Pressures with Finite Differences)

Definition: The 2D Flownet method uses finite differences to calculate groundwater pressures based on a two-dimensional flow model. By dividing the excavation area into a grid, DeepEX models groundwater movement across the entire excavation, considering both vertical and horizontal water flow components.

 

 When to Use 2D Flownet Pressures:

  • Complex Hydrogeology: This method is essential for sites with complex groundwater flow conditions, such as those with varying soil permeability, multiple layers, or intersecting groundwater tables.
  • Long-Term Excavations: Ideal for long-term projects where groundwater flow can influence wall pressures significantly over time.
  • High-Risk Projects: For critical projects in urban environments or near sensitive structures, 2D Flownet provides precise data on water pressures, leading to safer, more accurate design choices.

2D Flownet analysis is the most detailed option, accounting for realistic, site-specific groundwater behavior. It is suited for high-stakes excavation projects requiring meticulous pressure assessments, especially in cases where lateral groundwater flow impacts the excavation stability.

Figure 3: Full 2D flownet pressures in DeepEX & water pressure contour

4. Unconfined Flow (Water Drawdown)

Definition: The Unconfined Flow method, also known as water drawdown, calculates groundwater pressure changes due to water drawdown around the excavation. This method assesses the drop in groundwater levels, often resulting from dewatering efforts or temporary drainage systems.

When to Use Unconfined Flow:

  • Dewatering Scenarios: This method is valuable in projects involving groundwater level manipulation, such as those requiring temporary pumping or drainage.
  • Unstable or Variable Water Levels: For excavations in sites with fluctuating water levels or where groundwater drawdown is required to maintain stability, unconfined flow provides reliable pressure estimation.
  • Permeable Soils: When excavating in highly permeable soils, the unconfined flow method helps assess groundwater behavior and resulting pressure changes due to drawdown.

Unconfined Flow is essential for scenarios involving active water level management, allowing engineers to understand how drawdown impacts wall stability, soil strength, and overall excavation performance.

Figure 4: Unconfined flow in DeepEX – Water drawdown and pressure diagrams

Why Choose DeepEX for Water Pressure Calculations in Excavations?

DeepEX brings all four water pressure calculation methods into one platform, enabling engineers to select the method that best fits each project’s needs. Here’s why DeepEX is an invaluable tool for excavation design:

  • Complete Range of Calculation Options: With hydrostatic, 1D flow, 2D flownet, and unconfined flow capabilities, DeepEX gives engineers the flexibility to address diverse site conditions and project requirements.
  • Efficient Setup and Analysis: DeepEX’s user-friendly interface simplifies the selection and application of each water pressure model, making it easy to perform comparative analyses or adjust for new project data.
  • Reliable, Code-Compliant Designs: DeepEX adheres to international codes and standards, ensuring that each water pressure analysis meets industry expectations for safety, accuracy, and quality.
  • Detailed Reporting and Visualizations: The software produces clear visualizations and comprehensive reports for each method, allowing engineers to communicate findings effectively and support design decisions confidently.

With all four water pressure models in one platform, DeepEX empowers engineers to design safe, effective, and accurate excavation solutions across a wide range of conditions.

 

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This is very helpful. I was wondering if the theoretical plane of slippage should be shown conceptually on the cross sections of tie back anchor supported retention? A note could be added with a narrative of the slide plane and who determines where it is. It is very important because the free length of the anchor is determined by the location of the slide plane.

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Zahra Moridsadat

Pharmaceutical design student at DTU | Pharm. D | Quality Assurance | Quality Control

2w

Very helpful👏🏻👏🏻👏🏻

Richard Offor

Lead Engineer at Hitech Construction Company Limited

2w

Very helpful, I'm interested

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