A blast furnace fault determination apparatus includes a processor configured to: calculate a fault index indicative of a degree of fault in a blast furnace; calculate a ventilation index of the blast furnace; and determine a fault condition in the blast furnace using the fault index and the ventilation index.

Provided is a method of operating a blast furnace, including generating a regenerative methane gas using a blast furnace by-product gas, and blowing a blast gas and a reducing agent into the blast furnace from a tuyere, in which the blast gas is oxygen gas, the regenerative methane gas is used as at least part of the reducing agent, and the oxygen gas and/or the regenerative methane gas is preheated before being blown into the blast furnace from the tuyere.

A method for detecting a fluctuation of a solidified layer, and a method for operating a blast furnace by employing the relevant method. In the method for detecting a fluctuation of a solidified layer, the fluctuation of the solidified layer in the lower part of a blast furnace is detected by using the amount of heat supplied to pig iron in the lower part of the blast furnace and the amount of heat in the pig iron tapped in a predetermined period.

A molten material liquid level detection method that can detect a liquid level of molten material from a residual amount of the molten material with high accuracy and a method for operating a vertical furnace by using the detection method. The molten material liquid level detection method detects a liquid level of molten material remaining in a bottom portion of a vertical furnace after end of discharge of a molten material. The molten material liquid level detection method includes calculating a void fraction of the solid-filled structure, and detecting a liquid level of the molten material after the end of the discharge by using the calculated void fraction and a residual amount of the molten material after the end of the discharge.

A molten material liquid level detection method that can detect a liquid level of molten material from a residual amount of the molten material with high accuracy and a method for operating a vertical furnace by using the detection method. The molten material liquid level detection method detects a liquid level of molten material remaining in a bottom portion of a vertical furnace after end of discharge of a molten material. The molten material liquid level detection method includes calculating a void fraction of the solid-filled structure, and detecting a liquid level of the molten material after the end of the discharge by using the calculated void fraction and a residual amount of the molten material after the end of the discharge.