【摘要】 提出多变量分形体的数学模型，其可由各变量的自协方差函数和互协方差函数应用麦夯脱法进行选代求解，以获取多变量线性组合系数b1，b2，…，bp，以及分形幂律截距a和graphf的盒维数s等未知的待定参数．适用于其多变量线性组合的自相关函数满足幂律且目标变量的自协方差函数获得最佳估计的实际问题．将模型应用于海底喷流沉积的三维时空演化的研究中，获得各模拟时间段的海底喷流沉积的沉积微相组合等值线，揭示了海底喷流沉积的沉积微相组合的动态演化过程，得出Ag的矿化富集程度与海底喷流沉积的沉积微相组合的强度高度吻合的结论．更多还原

【Abstract】 A mathematical medel of multiple-variable fractal they is presented in this paper. In this medel, the auto-covariance function and the cme-covariance function of different variables calculated from the known data can be used to obtain the solutions by the Mihant iterative methed, in order to obtain such unknown undetermined parameters as the multiple variable linear combination coefficients b1, b2,…, bp,the fractal power-law interception a and the grapht box dimension s. This medel is appropriate for the autocorrelation function of the multi-variable linear combination that satisfies the power law, and for the autocovariance function of the variables that may interest us, since both functions can be used to obtain the best estimation of the problerns that actually exist. In this sense, this medel can be applied to the research into the threedimensional spatial-temporal evolution of the submarine exhalative-sedimentation. In this application research, the sedimentary micro-facies combinatorial contour lines can be obtained for the submarine exhalative-sedimentation centering around the fractal pararnter features describing the sulfide sedimentations in different simulated time segments, revealing the dynarnic evolutionary process of the sedimentary micrcrfacies combination of the submarine exhalative- sedimentation. Therefore, the conclusion can be obtained of the coincidence in strength and height between the Ag mineralized concentration degree and the sedimentary micro-facies combination of the submarine exhalative-sedimentation.更多还原