Delphix LogSync can definitely keep up with this change rate, provided you have adequate network bandwidth between Delphix and the Production system. The network bandwidth--not the software--will be the limiting factor.
LogSync has been shown to handle up to 8 TB/day (100 MB/s) on real production systems with massive change rates.
1 TB/day averages to 15 MB/s, which most networks (even WANs) can handle, as long as the latency is reasonable.