  Weak measurement is a new way to manipulate and control quantum systems.
Different from projection measurement, weak measurement only makes a small
change in status. Applying weak measurement to quantum discord, Singh and Pati
proposed a new kind of quantum correlations called "super quantum discord
(SQD)" [Annals of Physics \textbf{343},141(2014)]. Unfortunately, the super
quantum discord is also difficult to calculate. There are only few explicit
formulae about SQD. We derive an analytical formulae of SQD for general X-type
two-qubit states, which surpass the conclusion for Werner states and Bell
diagonal states. Furthermore, our results reveal more knowledge about the new
insight of quantum correlation and give a new way to compare SQD with normal
quantum discord. Finally, we analyze its dynamics under nondissipative
channels.
