A method for determining the flow of a multi-phase medium flowing through a measuring tube with a nuclear magnetic flowmeter having a pre-magnetization device and a measuring device, the pre-magnetization device having at least two pre-magnetization sections with different known lengths L1, L2, . . . , Ln, the method comprising:
- using a measuring device that implements 2D tomography at the end of each pre-magnetization section in measuring planes perpendicular to a longitudinal axis of the measuring tube,
- identically dividing the measuring planes into voxels, the dimensions of the voxels being chosen such that only one phase of the medium flows in each voxel,
- carrying out nuclear magnetic measurement for determining measuring signals,
- determining the flow velocity of the medium in each voxel in each measuring plane,
- determining an average flow velocity of the medium for each voxel over all measuring planes from determined values of the flow velocity of each corresponding voxel of the individual measuring planes,
- determining a signal ratio of measuring signals of each corresponding voxel of the different measuring planes relative to one another, and
- with the known values for the lengths L1, L2 . . . Ln of the pre-magnetization sections, determining spin-lattice relaxation time T1 in each voxel using the signal ratios.