The phrase "a network of trenches" is correct and usable in written English.
It can be used to describe a system or arrangement of interconnected trenches, often in a military or archaeological context.
Example: "The archaeologists uncovered a network of trenches that revealed the ancient civilization's complex irrigation system."
Alternatives: "a system of trenches" or "an array of trenches".
The structures were created by a network of trenches about 36ft (nearly 11 metres) wide and several feet deep, lined by banks up to 3ft high.
The 'geoglyph culture' stretches over a region more than 250km across, and exploits both the floodplains and the uplands … we have so far seen no more than a tenth of it". The structures were created by a network of trenches about 36ft (nearly 11 metres) wide and several feet deep, lined by banks up to 3ft high.
Instead, they employed a network of trenches to guide Andean snowmelt along ancient canals.
Morgan often worked eighteen-hour days, digging a network of shaded trenches to accommodate his ever-growing stock.
Despite three months of bombardments, Russian troops encountered fierce resistance from rebels dug into a network of fortified trenches and bunkers.
Away from the town center, a cadre of civilian contractors were building a fresh network of trenches at Ukraine's frontline positions.
The insurgents had built a labyrinthine network of trenches in the farmland, with sleeping areas and significant weapons caches.
For the two years of the war, the fighting has been confined largely to a sophisticated network of trenches along the nations' border.
The Fukuo Line, a sprawling network of trenches, moats, barbed wire, mine fields, gun emplacements, and pillboxes, was to be the final defense line outside Nanking's city walls.
The barrier, a network of fences, walls, trenches and other obstacles, is aimed a preventing Palestinian attackers from entering Israel.
Set a mile back from each other, the lines consist of a network of interlinked bunkers and trenches.
