A new method of multifractal analysis to evaluate the fluid mixing pattern of three kinds of fluid components is proposed. The geometrical characteristics of mixing pattern are expressed on a spectral surface of quasilocal fractal dimension vector q, whose dimension agrees with the number Of fluid components, and quasi-global fractal dimension f(q). In ordinary multifractal analysis, local and grabal fractal dimensions are related with an escort probability measure P (beta), which is a function of single scan parameter beta. In the present analysis, the scan parameter vector beta whose dimension is the same as q is newly introduced. The multifractal variables are calculated by scanning independently each component of beta. In the analysis of mixing pattern of many fluids, it is important to select the fluid components and subregion (or support) that contains the fluid in question. Depending on the combination of fluid and support, many different multifractal spectra are obtained. Complex intermixing between two or more fluid components can be analyzed quantitatively with these spectra.