The apparatus of the present invention comprises: an excitation device which excites the measurement site with a local direct-current or alternating-current magnetic field, and a plurality of magnetic field detection devices which are disposed in proximity to each other to measure the magnetic field component that is perpendicular to the exciting magnetic field. A magnetic fluid that possesses paramagnetism is injected from the outside into a substance in which a fluid can flow, and the local magnetic field gradient is then measured while the injected magnetic fluid is excited by the application of a direct-current or alternating-current magnetic field from the outside, thus measuring the presence or absence of distortion of the local magnetic field distribution arising from the fact that the specific magnetic permeability of the magnetic fluid injected into the substance is higher than that of the surrounding substance, so that sites where large amount of the magnetic fluid has accumulated are identified in a non-invasive manner without being affected by external magnetic noise.