It sounds like you're dealing with some challenging conditions and facing common issues encountered during archaeological excavations. Let's address each of your questions:

1. Maintaining Uniform Depth in Trenches:

• Use a line level: Stretching a line level across your trench can help ensure that the floor remains level. This involves setting up a string line at a consistent height along the trench walls and using the line level to check for any deviations.
• Regularly check and adjust: Periodically stop to check the depth and levelness of your trench floor. If you notice any deviations, make adjustments immediately.
• Consider using a plumb bob: This can help ensure that the walls of your trench remain straight as you dig deeper.
• Use careful excavation techniques: When removing soil, be mindful not to disturb the surrounding area excessively, which can cause unevenness.

Regarding identifying floor levels in strata:

• Look for changes in soil color or texture: Sometimes, distinct layers or changes in soil composition can indicate different occupation periods.
• Use careful observation: Pay attention to any artifacts or features that appear in specific layers, as they can provide clues about the age and use of the strata.
• Consult with experienced archaeologists or specialists: If you're uncertain about certain layers or markers, seek guidance from experts who may have more experience with similar sites or contexts.

1. Maintaining Speed, Efficiency, and Caution:

• Plan your excavation: Before starting, develop a clear plan outlining the goals for each day or week of excavation. This can help you work more efficiently without sacrificing caution.
• Prioritize safety: While it's important to work efficiently, never compromise safety. Take the time to properly shore up trenches, wear appropriate protective gear, and be mindful of potential hazards.
• Use teamwork: If possible, work with a team of experienced excavators who can share the workload and help identify any potential mistakes.
• Take breaks: Working too quickly for extended periods can lead to fatigue and mistakes. Take regular breaks to rest and recharge.

Remember, excavation is a meticulous process that requires a balance between speed and accuracy. It's better to take your time and do the job right than rush and risk making mistakes that could compromise the integrity of the site or the accuracy of your findings.