Parameter Identification Of The Elastic Modulus
Of Ground Rock Based On Blasting
Using The First Order Adjoint Method
Author(s)
T. Ishimoto & M. Kawahara
Abstract
In the case of tunnel excavation, it is important to investigate ground properties
before staring construction. However, it takes much money and time to investigate
the ground properties. Therefore, a numerical technique to solve the problem is
proposed in this paper. The method is parameter identification, which is inverse
analysis based on an optimal control theory. The main purpose of this research
is to present the parameter identification of elastic modulus at the Kasakura tunnel
site located in Fukui prefecture in Japan. The blasting is made at the tunnel
face and the vibration of the blasting is measured at the observation points. These
observation velocities are used for the performance function.
Keywords: finite element method, parameter identification, first order adjoint
method, weighted gradient method.
1 Finite element equation
Applying the finite element method to the basic equation, the finite element equation
discretized by the linear tetrahedral element is obtained as follows.
In this paper, indecial notation and summation convention with repeated indies
are used. The basic equation is expressed by the following three equations; the
equilibrium of stress equation, the strain-displacement equation and the stressstrain
equation.
σij,j − ρbi + ρ¨ui = 0, (1)
εij =
1
2
(ui,j + uj,i), (2)
Keywords
finite element method, parameter identification, first order adjoint
method, weighted gradient method.
Related Book
Other papers in this volume
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