An eddy-current correction method and apparatus, a mobile terminal and a readable storage medium are provided. The method includes: step S1: reading gradient-recalled echo sequence by means of bipolarity, so as to acquire a multi-echo image; step S2: estimating a first-order term coefficient of an extra phase term introduced by an eddy-current in the acquired multi-echo image; step S3: removing the estimated first-order term coefficient, and estimating a zero-order term coefficient of the extra phase term introduced by the eddy-current in the collected multi-echo image; step S4: removing, according to the estimated first-order term coefficient and the zero-order term coefficient, an error of the extra phase term introduced by the eddy-current. The eddy-current correction method removes the phase error caused by the eddy-current in the acquired image, thereby ensuring the correctness of the subsequent water-fat separation algorithm result.