The　naturalness　and　auditory　quality　of　the　wideband　audio　is　generally　degraded　due　to　the　limitation　of　transmission　bandwidth,　so　this　paper　presents　a　kind　of　audio　bandwidth　extension　method　from　the　wideband　to　super　wideband　based　on　grey　Verhulst　model.　Grey　Verhulst　model　was　utilized　for　estimating　the　envelope　of　high-frequency　spectrum,　according　to　the　evolution　tendency　of　the　spectral　envelope　series　of　audio　signals.　In　addition,　nearest-neighbor　matching　was　utilized　to　predict　the　fine　structure　of　high-frequency　components.　At　last,　the　proposed　method　can　effectively　recover　the　high-frequency　components　in　the　frequency　range　7-14　kHz　through　the　envelope　adjustment　of　high-frequency　spectrum.　Subjective　and　objective　testing　results　indicate　that　the　proposed　method　can　improve　the　auditory　quality　of　the　wideband　audio　and　outperforms　the　conventional　method　of　audio　bandwidth　extension　based　on　Gaussian　mixture　model.