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Analysis of Influencing Factors on Earth Pressure in Finite Soil and Excavation Deformation Based on Orthogonal Tests

This study utilizes ABAQUS-based numerical modeling and orthogonal tests to systematically analyze the effects of finite soil conditions and various parameters on earth pressure and excavation deformation, ultimately deriving predictive formulas and an optimization table for retaining structures in foundation pits adjacent to existing buildings.

Original authors: Qingyuan Yang, song chen

Published 2026-07-08
📖 4 min read☕ Coffee break read

Original authors: Qingyuan Yang, song chen

Original paper licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer

Imagine you are trying to dig a deep hole in your backyard to build a swimming pool. Usually, engineers assume the dirt around your hole stretches out forever in every direction, like an endless ocean of soil. They use old, classic rules to guess how much pressure that dirt will push against your pool walls.

But in big cities like Shenzhen, things are different. You often have to dig right next to an existing building's basement. This means the "ocean" of dirt is cut off; it's a finite (limited) amount of soil squeezed between your new hole and the old building. It's like trying to squeeze a sponge between two walls instead of letting it expand freely.

This paper is like a smart detective story where the authors, Qingyuan Yang and Song Chen, investigate what happens when you dig in these tight, "squeezed" spaces. They wanted to find out: How much pressure does this limited dirt push? And how do we build walls that won't bend or break?

Here is the breakdown of their investigation using simple analogies:

1. The "Taste-Test" Method (Orthogonal Tests)

Instead of testing every single possible combination of dirt depth, width, and strength (which would take forever and cost a fortune), the authors used a clever shortcut called an Orthogonal Test.

Think of it like a chef testing a new soup. Instead of trying every possible amount of salt, pepper, and garlic in every combination, they make a few specific batches where they change just a few ingredients at a time. By tasting these specific batches, they can figure out exactly which ingredient matters the most without cooking a thousand pots of soup.

In this study, the "ingredients" were:

  • How deep the hole is.
  • How wide the strip of dirt is between the holes.
  • How "grippy" the dirt is (friction).
  • How "sticky" the dirt is (cohesion).

2. The Pressure Puzzle (Earth Pressure)

The authors built a virtual world using computer software (called ABAQUS) to simulate digging. They found that the old rules (which assume infinite dirt) are too scary. They make engineers build walls that are way too strong and expensive because they overestimate the pressure.

What they found:

  • Depth and Width are the Bosses: The deeper you dig and the wider the strip of dirt, the harder it pushes.
  • Grip and Stickiness are the Helpers: Surprisingly, making the dirt "grippier" or "stickier" actually reduces the pressure slightly, but not as much as changing the depth or width.
  • The Result: Because the dirt is trapped, it can't slide as easily as it would in an open field. This means the pressure on the wall is lower than the old textbooks say.

3. The Wall's Dance (Foundation Pit Deformation)

Next, they looked at how much the wall would bend or wiggle (deform) during digging. They tested different "costumes" for the wall:

  • Thickness: How thick the concrete wall is.
  • Embedment: How deep the wall goes into the ground (like a tree's roots).
  • Spacing: How far apart the support beams (struts) are.

The Big Discovery:
The single most important thing to stop the wall from bending is making the wall thicker. It's like wearing a heavy steel suit versus a thin plastic one.

  • The "Root" Effect: Digging the wall deeper into the ground helps, but only up to a point. Once the roots are deep enough (about 65% to 90% of the hole's depth), digging them deeper doesn't help much more. It's like having a tree with roots that are already deep enough to hold it; making them slightly longer doesn't stop the wind any better.

4. The "Goldilocks" Recipe (Optimization)

The authors combined their findings to create a Matching Table. This is like a recipe card for engineers.

If you know your hole is 20 meters deep and the dirt strip is 20 meters wide, this table tells you exactly how thick your wall needs to be and how deep it needs to go to stay safe without wasting money.

The Main Takeaway:
Because the dirt is "trapped" (finite soil), it pushes less than we thought. This means engineers can use thinner walls or shallower roots than usual and still be safe. This saves a lot of money on concrete and steel while keeping the construction site safe.

Summary

In short, this paper says: "Don't be scared of the dirt in tight city spaces. It's not pushing as hard as the old rules say. By using smart computer tests, we can build walls that are just strong enough—not too weak, but not unnecessarily expensive either."

They provided a specific "cheat sheet" (the optimization table) so engineers can design these tricky city excavations safely and economically.

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