A mathematical model has been developed to provide realtime information about the important stages of the tapping operation of the ironmaking blast furnace (BF). The model tracks the levels of molten iron and slag inside the hearth based on a continuous analysis of produced and tapped liquid quantities, further considering the internal state of the hearth, including its geometry and the state of the coke bed. Because of inaccuracies in the model and in the measurements from the process, an optimal filtering method, the extended Kalman filter, is applied to provide reasonable liquid level estimates. For real-time predictions, the model additionally utilizes measurements of the electromotive force (emf) between two electrodes attached to the furnace shell, and predicts the occurrence of important events in the tap cycle, such as the duration of the present tap. The model has been found to provide valuable information about the crucial steps in the tap cycle.