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An Inverse Analysis for Parameter Estimation of Braced Excavation in Soft Clay Using Non-Linear Programming

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Abstract

The construction of braced excavations in urban areas requires control of surrounding ground movements since excessive ground movements damage adjacent properties. Design of this type construction involves proper estimation of soil parameters. Prediction of these soil parameters may be done by controlled laboratory tests simulating actual field conditions. Laboratory tests carried out with small size samples sometimes do not replicate the field situations comprising variations in soil properties with depth specially for stratified soils. So, field data are largely being used for estimation of various soil parameters related to analysis and design of braced excavations. Precise prediction of parameters is possible if inverse method is used as the identified parameters are representative of macroscopic soil mass as a whole. The present paper works out back-analysis of soil stiffness parameters on the basis of three reported case studies. Here the braced wall has been considered as a continuous beam with soil from backfill side is acting as load and strut as well as soil from cut side act as support. Optimization (both constrained and unconstrained) technique is used for predicting values of coefficients of soil subgrade modulus. The predicted deflections are found to be quite close to the measured values which support the proposed method of parameter estimation.

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Abbreviations

E:

Modulus of elasticity of wall member

I:

Moment of inertia of wall

Mi :

Moment at any point ‘i’ on the wall

Ri :

Reaction forces from soil to the wall at point ‘i’

P:

Strut force

Ki :

Modulus of subgrade reaction of soil at any point ‘i’

yi :

Deflection of wall at point ‘i’

h:

Distance between two successive flexible support

A:

Initial modulus of subgrade reaction

B:

Increase of modulus of subgrade reaction with depth

α:

Exponent to fit K value

F:

Objective function value

R:

Reaction force calculated from measured wall deflection

Rpred :

Predicted reaction force including term of modulus of subgrade reaction

P:

Penalty function for optimization

r:

Set of penalty parameters

Ω:

Penalty term to choose the feasible points

g:

Constraint used in bracket operator penalty function

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Authors and Affiliations

  1. Civil Engineering Department, University Institute of Technology, The University of Burdwan, Burdwan, 713104, India

    Kingshuk Dan

  2. Civil Engineering Department, Jadavpur University, Kolkata, 700032, India

    Ramendu Bikas Sahu

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  1. Kingshuk Dan
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  2. Ramendu Bikas Sahu
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Correspondence to Ramendu Bikas Sahu.

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Dan, K., Sahu, R.B. An Inverse Analysis for Parameter Estimation of Braced Excavation in Soft Clay Using Non-Linear Programming. Indian Geotech J 45, 291–303 (2015). https://doi.org/10.1007/s40098-014-0132-4

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  • DOI: https://doi.org/10.1007/s40098-014-0132-4

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