Inversion Method

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Shaoxian Bing - One of the best experts on this subject based on the ideXlab platform.

Daigang Wang - One of the best experts on this subject based on the ideXlab platform.

R. M. Law - One of the best experts on this subject based on the ideXlab platform.

  • Technical note: an interannual Inversion Method forcontinuous CO2 data
    Atmospheric Chemistry and Physics, 2004
    Co-Authors: R. M. Law
    Abstract:

    A sequential synthesis Inversion Method is described to estimate CO2 sources from continuous atmospheric data. The sequential Method makes the problem computationally feasible. The Method is assessed using four-hourly synthetic concentration data generated from known sources. Multi-year mean sources and seasonal cycles are estimated with comparable quality as those from a traditional Inversion of monthly mean data. Interannual variations in the estimated sources are closer to those of the known sources using the four-hourly data rather than monthly data. The computational cost of the basis function simulations can be reduced by generating responses that are only six months long. This does not significantly degrade the Inversion results compared to using responses that are 12 months in length.

  • Technical note: an interannual Inversion Method for continuous CO2 data
    Atmospheric Chemistry and Physics Discussions, 2003
    Co-Authors: R. M. Law
    Abstract:

    A sequential synthesis Inversion Method is described to estimate CO2 sources from continuous atmospheric data. The sequential Method makes the problem computationally feasible. The Method is assessed using four-hourly synthetic concentration data generated from known sources. Multi-year mean sources and seasonal cycles are estimated with comparable quality as those from a traditional Inversion of monthly mean data. Interannual variations in the estimated sources are closer to those of the known sources using the four-hourly data rather than monthly data. The computational cost of the basis function simulations can be reduced by generating responses that are only six months long. This does not significantly degrade the Inversion results compared to using responses that are 12 months in length.

Zhenquan Li - One of the best experts on this subject based on the ideXlab platform.

Teruyuki Kato - One of the best experts on this subject based on the ideXlab platform.

  • Stress Inversion Method and analysis of GPS array data
    Comptes Rendus Mecanique, 2008
    Co-Authors: Muneo Hori, Takeshi Iinuma, Teruyuki Kato
    Abstract:

    Abstract The stress Inversion Method is developed to find a stress field which satisfies the equation of equilibrium for a body in a state of plane stress. When one stress–strain relation is known and data on the strain distribution on the body and traction along the boundary are provided, the Method solves a well-posed problem, which is a linear boundary value problem for Airy's stress function, with the governing equation being the Poisson equation and the boundary conditions being of the Neumann type. The stress Inversion Method is applied to the Global Positioning System (GPS) array data of the Japanese Islands. The stress increment distribution, which is associated with the displacement increment measured by the GPS array, is computed, and it is found that the distribution is not uniform over the islands and that some regions have a relatively large increment. The elasticity Inversion Method is developed as an alternative to the stress Inversion Method; it is based on the assumption of linear elastic deformation with unknown elastic moduli and does not need boundary traction data, which are usually difficult to measure. This Method is applied to the GPS array data of a small region in Japan to which the stress Inversion Method is not applicable. To cite this article: M. Hori et al., C. R. Mecanique 336 (2008).

  • application of the Inversion Method to a gps network for estimating the stress increment in japan
    Geophysical Journal International, 2001
    Co-Authors: Muneo Hori, Toshio Kameda, Teruyuki Kato
    Abstract:

    SUMMARY This paper examines the applicability of an Inversion Method of identifying stress distribution to the Japanese Islands, whose deformation is measured by the nationwide GPS array. The present Inversion Method is different from ordinary Inversion, which requires a parametrization of constitutive relations, even though it is applicable only in the 2-D state. It is rigorously shown that stress can be found without using constitutive relations, and the validity and usefulness are verified by carrying out a numerical simulation and a model experiment for a certain class of materials. For the GPS data, the Inversion Method can predict the stress increment distribution that is associated with the measured displacement increment. Under assumptions of a plane stress state for the incremental deformation and no volumetric inelastic deformation, the stress increment is computed from the GPS array data measured during 1997 and 1998; from the viewpoint of numerical analysis, the validity of the solutions is examined by changing the discretization scale, boundary conditions and other parameters. Regional constitutive relations are deduced from relations between the measured strain increment and the inverted stress increment. While further studies are definitely needed, the results of the numerical simulation suggest the potential usefulness of the present Inversion Method. The limitations of the Inversion Method when applied to the Japanese Islands are discussed, and necessary modifications are mentioned.