同义词,一般情况下可互换,不过前者应该是有中性用法,后者则只有偏贬义用法,详见例子,可细细分析。
intervention 插入,介入,调停
例句:
Disagreements threatened to wreck the peace talks, but the president's intervention saved the situation.

讲和谈判因意见分歧危如累卵,而会长从中斡旋方转危为安。
His intervention brought their quarrel to a climax.
他一干预使他们的口角达到最激烈程度。
Military intervention is highly undesirable.
军事干涉极不相宜。
interference 妨碍,干扰
例句:
Her mother's interference exacerbated the difficulties in their marriage.
她母亲从中干预使他们的婚姻雪上加霜。
Her interference was not warranted.
她干涉得毫无道理。

Both partners now resent your interference; that's what you get when you fish in the troubled waters of marital strife.
现在两方面都对你的干预不满,那是对你的婚姻冲突中趁火打劫的报应。
intervention
KK:[]
DJ:[]
n.[U][C][(+in)]
1.插入;介入
The government's intervention in this dispute will not help.
政府介入这场争端将于事无补.
2.干预;调停,斡旋
military intervention

军事干涉
interference
KK:[]
DJ:[]
n.
1.阻碍;抵触[U][C][(+with)]
2.干涉,干预;扰乱[U][(+with/in)]
He cannot brook interference.
他不能容忍他人的干涉.
3.物(电波等的)干扰,扰乱[U]
The picture on our TV is spoilt by interference from your vacuum cleaner.
我们电视机上的图像因受你们真空吸尘器的干扰而不清晰了.
4.体掩护阻挡;掩护阻挡队员;阻挡犯规[U][C]