The technique that constructs strain ellipsoid from three strain ellipses measured on non-parallel sections based on the least square method and the factors that control precision of strain

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The least square strain technique that was developed by Hayashi (1994) and is based on the least square method is explained in detail. The technique uses the strain ellipses on three non-parallel section planes of oriented rock samples to construct strain ellipsoid. Three series of model are prepared to examine what kind of factor controls the precision of strain where the axial ratio of initial strain marker ellipsoids is assumed to scatter as normal distribution. Three series of model are produced to test three factors; (1) The sample size of markers. (2)The mean of axial ratio of makers and (3) The standard deviation of axial ratio of markers. Results of the simulation are; (1) When the sample size of the initial strain marker ellipsoids is large, higher the precision of strain analysis is. (2) When the mean of axial ratio of the initial strain marker ellipsoids is small, higher the precision of strain analysis is. (3) Although the standard deviation of axial ratio of the initial strain marker ellipsoids varies, the precision of strain analysis does not change.
琉球大学理学部の論文