You should be aiming to auto-grow as little as possible. Seven times a day is excruciating, even with instant file initialization.
Don't do a Shrink Database. Ever. Shrinkfile, maybe, but only after an extraordinary event. Shrinking it just to grow again is an exercise in futility and should actually be called auto-fragment.
If recovery model is simple, there is no way on earth you should need to grow your log file by 250 GB. The used space in the file will clean itself out automatically over time, unless you started a transaction a month ago and have no intentions of ever committing it or rolling it back.
So my advice would be:
Auto-grow the data file manually during a quiet period to a size that will accommodate several months of growth. What are you saving it for in the meantime?
Set the auto-growth increment for the data file to something relatively small (so that it doesn't interrupt users when it does happen), and alert on this event (you can catch it in the default trace, for example, or through extended events). This can tell you that you are hitting the high point you estimated and it is time to grow manually again. At this point you will want to keep this manual in case you want to add a new file / filegroup on a different drive to accommodate the space, since eventually you will fill the current drive.
Auto-grow the log file to, say, twice the largest it's ever been. It shouldn't auto-grow further unless there is some abnormal transaction holding things up. You should monitor for this event as well, so that you know about them.
Best thing to do is to collect what caused the log file to grow by setting up an alert.
You can use sp_whoisactive to run and log into the table (as DennisT suggested) or dmv's like sys.dm_tran_active_transactions and sys.dm_tran_database_transactions
-- Find Log space usage
-- http://stackoverflow.com/a/5085179/1387418
select
SessionTrans.session_id as [SPID],
enlist_count as [Active Requests],
ActiveTrans.transaction_id as [ID],
ActiveTrans.name as [Name],
ActiveTrans.transaction_begin_time as [Start Time],
case transaction_type
when 1 then 'Read/Write'
when 2 then 'Read-Only'
when 3 then 'System'
when 4 then 'Distributed'
else 'Unknown - ' + convert(varchar(20), transaction_type)
end as [Transaction Type],
case transaction_state
when 0 then 'Uninitialized'
when 1 then 'Not Yet Started'
when 2 then 'Active'
when 3 then 'Ended (Read-Only)'
when 4 then 'Committing'
when 5 then 'Prepared'
when 6 then 'Committed'
when 7 then 'Rolling Back'
when 8 then 'Rolled Back'
else 'Unknown - ' + convert(varchar(20), transaction_state)
end as 'State',
case dtc_state
when 0 then NULL
when 1 then 'Active'
when 2 then 'Prepared'
when 3 then 'Committed'
when 4 then 'Aborted'
when 5 then 'Recovered'
else 'Unknown - ' + convert(varchar(20), dtc_state)
end as 'Distributed State',
DB.Name as 'Database',
database_transaction_begin_time as [DB Begin Time],
case database_transaction_type
when 1 then 'Read/Write'
when 2 then 'Read-Only'
when 3 then 'System'
else 'Unknown - ' + convert(varchar(20), database_transaction_type)
end as 'DB Type',
case database_transaction_state
when 1 then 'Uninitialized'
when 3 then 'No Log Records'
when 4 then 'Log Records'
when 5 then 'Prepared'
when 10 then 'Committed'
when 11 then 'Rolled Back'
when 12 then 'Committing'
else 'Unknown - ' + convert(varchar(20), database_transaction_state)
end as 'DB State',
database_transaction_log_record_count as [Log Records],
database_transaction_log_bytes_used / 1024 as [Log KB Used],
database_transaction_log_bytes_reserved / 1024 as [Log KB Reserved],
database_transaction_log_bytes_used_system / 1024 as [Log KB Used (System)],
database_transaction_log_bytes_reserved_system / 1024 as [Log KB Reserved (System)],
database_transaction_replicate_record_count as [Replication Records],
command as [Command Type],
total_elapsed_time as [Elapsed Time],
cpu_time as [CPU Time],
wait_type as [Wait Type],
wait_time as [Wait Time],
wait_resource as [Wait Resource],
reads as [Reads],
logical_reads as [Logical Reads],
writes as [Writes],
SessionTrans.open_transaction_count as [Open Transactions],
open_resultset_count as [Open Result Sets],
row_count as [Rows Returned],
nest_level as [Nest Level],
granted_query_memory as [Query Memory],
SUBSTRING(SQLText.text,ExecReqs.statement_start_offset/2,(CASE WHEN ExecReqs.statement_end_offset = -1 then LEN(CONVERT(nvarchar(max), SQLText.text)) * 2 ELSE ExecReqs.statement_end_offset end - ExecReqs.statement_start_offset)/2) AS query_text
from
sys.dm_tran_active_transactions ActiveTrans (nolock)
inner join sys.dm_tran_database_transactions DBTrans (nolock)
on DBTrans.transaction_id = ActiveTrans.transaction_id
inner join sys.databases DB (nolock)
on DB.database_id = DBTrans.database_id
left join sys.dm_tran_session_transactions SessionTrans (nolock)
on SessionTrans.transaction_id = ActiveTrans.transaction_id
left join sys.dm_exec_requests ExecReqs (nolock)
on ExecReqs.session_id = SessionTrans.session_id
and ExecReqs.transaction_id = SessionTrans.transaction_id
outer apply sys.dm_exec_sql_text(ExecReqs.sql_handle) AS SQLText
where SessionTrans.session_id is not null -- comment this out to see SQL Server internal processes
More reference :
Best Answer
This SQL shows queries with most "logical_writes":
This T-SQL could help to find direction, but it is not really what you asked for, as logical write != write. and logical write != log write.
It could be very very interesting to find more complete answer to your question.