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根据灰色关联分析原理，将待评判的膨胀土的标准指标值组成参考数列，实测的影响膨胀土膨胀的指标值组成被比较数列，运用扩展的最小二乘方准则构造目标函数，即全体对象对于各标准模式间的权广义距离平方和最小，从而构造拉格朗日函数，得到灰色优化理论模型，结合实例说明了该模型的应用，并与ＧＢＪ１１２－８７《规范》规定的限界值相比效法及条例法的结果进行对比分析．
According to the principle of grey correlation analysis, the standard index values of the expansive soil to be judged are composed of reference series, and the actually measured index value composition of expansive soil expansion is compared with the series. The extended least squares criterion is used to construct the objective function, that is, all objects are The sum of the squares of the weighted generalized distances between the standard modes is the smallest, so that the Lagrange function is constructed and the grey optimization theory model is obtained. The application of the model is illustrated with examples, and compared with the limit values specified in GBJ112-87 “Specifications”. And the results of the Ordinance Act are compared and analyzed.