A computer-implemented method for extracting a capacitance for a target wire of an integrated circuit includes receiving a design of the integrated circuit having a plurality of wiring layers and selecting a target wire to perform the capacitance extraction. The method further includes determining a first adjacent wiring layer and a second adjacent wiring layer and removing a first subset and a second subset of a plurality of non-adjacent wiring layers from the plurality of wiring layers. The method includes approximating a first plate to be used in the extraction based on the first subset of the plurality of non-adjacent wiring layers and approximating a second plate to be used in the extraction based on the second subset of the plurality of non-adjacent wiring layers and performing the extraction of the target wire based on the first and second adjacent wiring layers and the first and second plates.