If ravine is small catchment, you might consider installing filter fabric fence(s) - see my researchgate paper on sediment from a small ephemeral gully.  I cannot say it is the best, but helped in capturing about 50 tons in sediment over a decade.  

One may be disappointed but I have not come across any method to estimate erosion from ravines. As suggested by

Mr. William above you can measure sediment deposited behind a check dam constructed across a small ravine. Even if

you have 10 years data it will have a large variance. Large amount of sediment is expected from ravines when 3 days continuous rainfall is higher.

Dear  Mr.Sharma,

The 

Gully erosion due to river channel trenching leads to the formation of ravines. Zones of severe ravine trenching are found along the margins of the indo -Gangetic Basin. The  origin of gullies in indo gangetic prespective of india owes its  geological origin towards a tectonic activity based on the peripheral up lift of peninsular shield by pressure against the himalayan zone provides a discontinuous pattern of incision in the depressions of Indo-gangetic alluvial plains. This has been further aggravated by indiscriminate land use practices, Thinning of forest cover and  illegal sand mining leading to present stages of ravines. The best indirect method of estimation of soil erosion in ravines can be differentiated based on the depth of gully (m) width of Gully (m), if the depth of Gully is less than 2.5mts this may be less erosive, if greater than 5m depth, the same may be classified as having highly soil erosive index. Likewise, if the width is above 30mts it is less erosive while width of only 15mts the erosive index is considered to be high in consensus with the depth. Moreover, if the frequency/distance of gully formation is less than 500mts it is less erosive and it the frequency is greater than 1000mts / 1 kms then it has a highly erosive index. Also, the bed slope as either simple, or complex or steep gradient also indicates the soil erosion index.

Thanks,

Murali Kochukrishnan.