Well the rule states exactly this with regards to batsmen running on the pitch that could cause possible damange to the pitch.
Source:
http://www.lords.org/data/files/laws_of_cricket_2003-8685.pdf
14. Batsman damaging the pitch
(a) If either batsman causes avoidable damage to the pitch, at the
first instance the umpire shall, when the ball is dead,
(i) caution the batsman. This caution shall continue to apply
throughout the innings. The umpire shall so inform each
incoming batsman.
(ii) inform the other umpire, the other batsman, the captain of
the fielding side and, as soon as practicable, the captain
of the batting side.
(b) If there is a second instance of avoidable damage to the pitch
by any batsman in that innings
(i) the umpire shall repeat the above procedure, indicating
that this is a final warning.
(ii) additionally he shall disallow all runs to the batting side
from that delivery other than the penalty for a No ball or
a Wide, if applicable. The batsmen shall return to their
original ends.
(c) If there is any further avoidable damage to the pitch by any
batsman in that innings, the umpire shall, when the ball is dead,
(i) disallow all runs to the batting side from that delivery other
than the penalty for a No ball or a Wide, if applicable.
The batsmen shall return to their original ends.
(ii) additionally award 5 penalty runs to the fielding side. See
17 below.
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(iii) inform the other umpire, the other batsman, the captain of
the fielding side and, as soon as practicable, the captain
of the batting side of what has occurred.
(iv) report the occurrence, with the other umpire, as soon as
possible to the Executive of the batting side and any
Governing Body responsible for the match, who shall take
such action as is considered appropriate against the
captain and player or players concerned.