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摘要

Method is used to determine best and worst case, is used for by physical data, such as the model parameter that generates of non-unique matrix inversion of seismic reflection amplitude, such as the value of porosity and shale volume fraction. Matrix becomes diagonal linear, and then normal orthogonal base vector associated with unessential diagonal element is used to generate the Lower and upper bounds in solution. Best and worst case solution is determined as the linear combination of invalid basis vector, and wherein the coefficient of expansion is determined by one best fit of manufacture to Lower and upper bounds.