Chapter 1 in your book, Mapping the Deep, discusses the origin of water on this planet, principally due to the billions and billions of impacts of comets, "dirty snowballs" from outer speace.
The volume of water in the ocean varies, just a little bit, over time due to the waxing and waning of the polar ice caps and continental glaciers as a result of climate change.
During colder climatic periods more ice caps and glaciers form, and enough of the global water supply accumulates as ice to lessen the amounts in other parts of the water cycle. During the last ice age glaciers covered almost one-third of Earth's land mass, with the result being that the oceans were about 400 feet (122 meters) lower than today. During the last global "warm spell," about 125,000 years ago, the seas were about 18 feet (5.5. meters) higher than they are now. About three million years ago the oceans could have been up to 165 feet (50 meters) higher."