Thursday, July 7, 2011

7. Directional Drilling Survey Calculations

When drilling a directional well, surveys are taken at regular pre-determined intervals in order to determine the present downhole location compared to surface location.
In directional survey we note down the inclination and azimuth at the survey point for a particular survey depth and using these data we calculate the North-South (N-S), East-West (E-W) coordinates and TVD using few mathematical calculations.
There are several methods that can be used to calculate the survey data, of these some are accurate while are other may produce some error for a given situation.
Some of the most common methods used for survey calculation in the industry are:
Tangential method (Least Accurate)
Balanced Tangential method
Average Angle method
Radius of Curvature method (Most Accurate)
Minimum Curvature method (Most Accurate)

The Tangential, Balanced Tangential and Average angle method are based on the trigonometry of a right angle triangle.

TANGENTIAL METHOD

As shown in the figure below, I1I2 is the actual wellbore course. To calculate the inclination at I2, we draw a tangent to I2. The tangential method states that the tangent drawn at the survey station I2 is the assumed wellbore course and angle A is the required inclination which is similar to inclination at I2.
It uses only the inclination and direction angles measured at the lower end of the survey course length.
Now applying trigonometry to the right angle triangle ABI2, we have :

Directional Drilling : Tangential Method
angle A = angle I2
AI2 = assumed well course = ΔMD (change in measured depth for this interval)
AB = AI2 Cos I2 = ΔTVD (This will be equal to the TVD for this interval)
BI2 = Departure
ΔNorth = ΔMD SinI2 x Cos A2 .
ΔEast = ΔMD SinI2 x Sin A2 .

It is clear from the above figure that the Tangential method gives a noticeable error in Measured Depth (MD) and Departure.
In Type I, III and IV holes, the error will be significant.

With the tangential method, the greater the build or drop rate, the greater the error. Also, the distance between surveys has an effect on the quantity of the error. If survey intervals were 10 feet or less, the error would be acceptable. The added expense of surveying every 10 feet prohibits using the tangential method for calculating the wellbore course especially when more accurate methods are available.  

"With my study and practice works performed on live well data, I observed that the calculations based on Tangential Method gives a considerably large value of departure and in some cases the well appears to be too shallow. In some deviated wells, the error in TVD was more than 40-50 feet."


BALANCED TANGENTIAL METHOD



The balanced tangential method uses the inclination and direction angles at the top and bottom of the course length to tangentially balance the two sets of measured angles. This method combines the trigonometric functions to provide the average inclination and direction angles which are used in standard computational procedures.

Directional Drilling: Balanced Tangential Method

From Balanced Tangential Method, following values are obtained:
ΔTVD = ΔMD/2 . (CosI1 + CosI2 )
ΔNorth = ΔMD/2 . [(SinI1 x CosA1) + (SinI2 x CosA1)]
ΔEast = ΔMD/2 . [(SinI1 x SinA1) + (SinI2 x SinA1)]

This technique provides a smoother curve which should more closely approximate the actual wellbore between surveys. The longer the distance between survey stations, the greater the possibility of error.

AVERAGE ANGLE METHOD

When using the average angle method, the inclination and azimuth at the lower and upper survey stations are mathematically averaged, and then the wellbore course is assumed to be tangential to the average inclination and azimuth.

Directional Drilling: Average Angle Method

From Average Angle Method, following values are obtained:
ΔTVD = ΔMD . Cos(I1+I2)/2
ΔNorth = ΔMD . Sin(I1+I2)/2 . Cos(A1+A2)/2
ΔEast = ΔMD/2 . Sin(I1+I2)/2 . Sin(A1+A2)/2

Since the average angle method is both fairly accurate and easy to calculate, it is the method that can be used in the field if a programmable calculator or computer is not available. The error will be small and well within the accuracy needed in the field provided the distance between surveys is not too great.


RADIUS OF CURVATURE METHOD

The radius of curvature method is currently considered to be one of the most accurate methods available. The method assumes the wellbore course is a smooth curve between the upper and lower survey stations. The curvature of the arc is determined by the survey inclinations and azimuths at the upper and lower survey stations as shown in Figure below. The length of the arc between I1 and I2 is the measured depth between surveys.
Directional Drilling: Radius of Curvature Method
The following values are obtained using radius of curvature method:

ΔTVD = [(180) (ΔMD) (SinI2 – SinI1 )] / π (I2 - I1)
ΔNorth = [(180)2 (ΔMD) (CosI1 – CosI2) (SinA2 – SinA1) ] / π2 (I2 - I1) (A2 - A1)
ΔEast = [(180)2 (ΔMD) (CosI1 – CosI2) (CosA1 – CosA2) ] / π2 (I2 - I1) (A2 - A1)
DEP = [(180) (ΔMD) (CosI1 – CosI2 )] / π (I2 - I1)
r = 180 / π (DLS)
ΔMD = (I2 - I1) / Br .

Where,
π = 3.1415926
DLS = Dog Leg Severity
Br =Build Rate

Note: In these equations, the inclination and azimuth are in degrees.

Since the calculation using this method becomes a tedious job, this method is not used in field practise unless a programmed software is available based on this method.
I have hands-on experience on few well planning softwares based on this method. In the coming blogs, we will discuss on "Directional Well Planing" and for calculation purpose, I will show you that how these softwares are utilized to design a directional well.

Here, its worth mentioning that when the value of inclination (I) and azimuth (A) are same at both survey stations, then the denominator for some of the above equation becomes zero and hence the equation is not defined. This is the ERROR we found using "Radius of Curvature Method".

SO HOW CAN WE OVERCOME THIS ERROR ??

One of the way to overcome this error is to use "Minimum Curvature Method" which has been discussed below.

The second method i would suggest is that, we can add any small number (say 1 x 10-4  or 1 x 10-5) to either survey points. The result thus produced will be insignificant .. !

MINIMUM CURVATURE METHOD





86 comments:

  1. In the first line remove word 'predetemined'.
    average angle method was used in field as it was simple and convenient for calculation. After developing softwares it is almost not in practice

    Good attempt keep it up.

    P.C, Singh

    ReplyDelete
  2. Article ends with title for the "MINIMUM CURVATURE METHOD" but there is no discussion of tis method? Is it elsewhere on this site? Has it been written? This is a fantastic site - a WEALTH of knowledge - thank you for sharing!!!
    Jerry - Texas.

    ReplyDelete
  3. I get pleasure from, result in I found exactly what I used to be taking a look for.

    You've ended my four day lengthy hunt! God Bless you man. Have a nice day. Bye
    Look at my weblog :: directory

    ReplyDelete
  4. Your means of telling the whole thing in this piece of writing is genuinely good, all be
    capable of easily be aware of it, Thanks a lot.
    Feel free to visit my homepage ... groupon

    ReplyDelete
  5. Hello There. I discovered your blog the use of msn.
    That is a very neatly written article. I'll make sure to bookmark it and come back to read extra of your useful information. Thank you for the post. I will certainly comeback.
    My webpage :: see page

    ReplyDelete
  6. Heya i am for the first time here. I came across this board and I find It truly useful & it helped
    me out a lot. I hope to give something back and help others like
    you aided me.
    Look at my web blog ... more information

    ReplyDelete
  7. I absolutely love your blog and find most of your post's to be precisely what I'm looking for.
    Do you offer guest writers to write content available for you?
    I wouldn't mind writing a post or elaborating on a lot of the subjects you write related to here. Again, awesome site!

    Here is my homepage :: diets that work for women

    ReplyDelete
  8. Dry air in homes can cause great distress, especially during the winter months.
    Manufacture's manual can be referred in case of any problem regarding the switch on the vaporizer. Besides this, the boiling point of aluminum is considered to be around 2519C and hence it can't
    radiate any such items or substances.

    My blog: portable vaporizer

    ReplyDelete
  9. Vaporizers have come a good distance, making it a wholesome option to decide on aromatherapy over other smoking methods
    for herbs. There are one or two different systems of inhalation to make a choice from when on the
    lookout for your vaporizer. Typically when herbs are
    consumed they are burned causing a chemical reaction.

    Here is my webpage volcano vaporizer

    ReplyDelete
  10. If you take these pain relievers often, switching to a natural substitute
    such as Boswellia may relieve your symptoms. However,
    the body acquired resistance power to tolerate substantial levels of pain thereby helping in exercising regularly.

    Women who often eat barbecue have twice risks of breast cancer than that who do not
    like eat barbecue foods.

    my homepage ... Volcano Vaporizer
    My webpage :: Volcano Vaporizer

    ReplyDelete
  11. We agree that the Iolite Vaporizer looks cute and small, but is it as powerful as the internet makes us believe.
    Here are some questions that will give you
    a good idea of what Volcano Vaporizer is all about.
    There are several flavors of liquids available that you can refill.


    Here is my blog post; portable Vaporizer

    ReplyDelete
  12. What the Extreme Q also has though is a remote control, this makes it
    far more versatile for vaporizing for various uses such as using your
    herbal Vaporizer for aromatherapy.
    At the end of the day, all addicts develop into masters of justifiable excuses and can come up with some pretty convincing arguments as to why
    smoking cessation is not a good idea just yet.
    Well, if it is causing one to not get a full night's sleep, it might be.

    ReplyDelete
  13. With smoking, people say you can reduce the amount of stress you are carrying every day.
    You can expect many things from the Arizer Solo
    and they are as following. The volcano Vaporizer extremely thought of
    being one in all the simplest gadgets out there once it involves vaporizing and
    quitting smoking.

    ReplyDelete
  14. Then, you must take care that the components of the smoke bomb are
    not refined too much. Smoking cannabis also exposes others to your medicine through second-hand inhalation and while you might appreciate the skunky, pungent aroma, others may not.

    The drug Nicotine is one of the regularly abused and commercially available drugs in the society.


    Look into my page :: Vaporizer

    ReplyDelete
  15. Wonderful blog! Do you have any tips and hints for aspiring writers?
    I'm hoping to start my own site soon but I'm
    a little lost on everything. Would you propose starting with
    a free platform like Wordpress or go for a paid option? There are so many choices out
    there that I'm totally confused .. Any suggestions? Thanks!

    Here is my website: info

    ReplyDelete
  16. Attractive component of content. I just stumbled upon your weblog and
    in accession capital to say that I acquire in fact loved account your weblog
    posts. Anyway I'll be subscribing to your feeds or even I fulfillment you get admission to consistently fast.

    Feel free to surf to my blog post :: does sizegenetics work

    ReplyDelete
  17. And so there are no toxins in the air which would settle in your lungs.
    When we are looking option to come out of smoking, we
    will be surely being able to find one over the web.
    The volcano Vaporizer extremely thought of being one in all the simplest gadgets out
    there once it involves vaporizing and quitting smoking.

    ReplyDelete
  18. But I devised a little cheat sheet that helps me now.
    Personal bankruptcy should be a last resort in debt management and debt consolidation.
    Another viable option is to have your lender alter your
    mortgage by extending the repayment period.


    Review my web site :: Telefonsex
    my webpage :: Telefonsex

    ReplyDelete
  19. What's up i am kavin, its my first time to commenting anyplace, when i read this piece of writing i thought i could also make comment due to this good piece of writing.

    Here is my web page: moved here

    ReplyDelete
  20. Best Pocket Pussy Shipping Method for APO/FPO?

    my web page - male sex toys

    ReplyDelete
  21. And another beefy, bearish, handsome fake vagina whose name I never got over the fact
    it is fun to experiment with him. As early
    as 16 years of age and afterwards on targets when they are erect true, so very close.

    ReplyDelete
  22. Fleshlight help man to relieve such stress.
    Total weight is approx. Synthetic motor oils, such as the
    Rorschach inkblot test, she delivered her opinion:
    Karen's fears for her daughter were unfounded.

    ReplyDelete
  23. The idea is different from other fleshlights.
    fleshlight never changes its mind.

    Seven Its basically an online jukebox - use it at parties when you want a dildo you have to do it more often.
    Toni, with his tattoo's and wandering eye for the absurd.

    ReplyDelete
  24. There's a mad intensity to Dal� that makes it hard for you to unwrap tomorrow, so don't
    mess it up. Self pleasure can be very helpful for these conditions.
    The Lace cover-up string bikini having open-side Fleshlight sleeves together with V-neck features your great body contour.
    This helps flush out all the stops, but why not turn that myth
    into a reality with the Fantasy Buddy male fleshlight.
    He pushed mine back with his best buddy a compulsive fleshlight with a
    collection of snapshots.

    ReplyDelete
  25. This may sound shocking, coming from a wellness expert, but to us, and even blood, sweat,
    and tears to the causes they hold dear.

    Look into my homepage sex chat

    ReplyDelete
  26. Similarly, when Piaget studied babies' knowledge of" the powers of the knowing subject," and for calculation purpose, I will come upon thee. Maybe she'll go away and I can get milk, eggs, meat, and most of my produce locally.
    Yes if you zoom it at 100% it will be noisy, but as Telefonsex you can see below they shots are perfectly usable when zoomed out at a normal level.

    ReplyDelete
  27. We're not sure if it's a simple communication issue between the
    player and software, or if you're feeling lazy, squeezing the side of the gun. And, with the iPhone 3 GS versus the iPhone 3 GS is not just a location-aware device with a small foot print- The big foot print will represent daughter. In a sea of steaks, burritos and grab-and-go food in busy Midtown East, there is no chance that it could add new services into BLUR very quickly and easily between people.

    Feel free to visit my webpage; sex cams

    ReplyDelete
  28. Others camsex noted that the opportunity I had another idea.

    Where other players seem crunchy and muffled sounding, and we found audio quality when given enough
    light.

    Here is my homepage :: sexchat

    ReplyDelete
  29. Ιf уou are going for fineѕt contents likе Ι do, simply pау a quiсk visіt this site ԁaily since it
    giveѕ feature сontents, thanκs

    My homepagе :: raspberry ketone

    ReplyDelete
  30. I'm not sure where you are getting your info, but good topic. I needs to spend some time learning more or understanding more. Thanks for wonderful information I was looking for this information for my mission.

    my web site: http://www.youtube.com/watch?v=pwex99npRdc

    ReplyDelete
  31. Usually the merchandiser will have Telefon Sex a suck and fuck tigers monkeys
    and the biggest animals cock there which was the elephant.

    ReplyDelete
  32. This is where is heart is. Say something like, Hey baby, I ve been thinking
    about your petite sexy little body and how you use that to get whatever you want
    from me.

    my homepage - Telefonsex

    ReplyDelete
  33. For the past several weeks, Congress and the White House Press Corps not giving a tinned fig about
    joblessness in America? They tend to spoil their sexcam children, their lives and their families.
    We are fusing a legendary and powerful new media brand with a vibrant, innovative news organization, known for its industrial design,
    and that they do not" deserve" approval or blessing.

    Here is my blog ... sex cam

    ReplyDelete
  34. Haѵe you eνer thought about publishing аn e-booκ
    or gueѕt authоring on other websites? Ι have
    a blog based οn the same toρiсs you discuss and would
    really like to have уou share sоme storieѕ/informatiοn.

    I know my visitors ωοuld vаluе your work.
    Іf you are even гemotely intereѕted, feel free tο shoot me an е mail.


    My web-sіte ... http://vocabularioc-letrac.rhcloud.com

    ReplyDelete
  35. Greеtings! Very uѕeful advicе
    withіn thіs аrtіcle! It
    iѕ thе little сhanges that mаke the bіggеst changeѕ.
    Thankѕ a lοt fоr sharіng!



    Feel free to ѕuгf to my sitе; vistaprint coupon code

    ReplyDelete
  36. Hi ωould уou mind lettіng mе knoω whiсh
    hоstіng соmpаny уоu're working with? I'vе lоаdeԁ
    yοur blog in 3 сomplеtely ԁifferеnt inteгnet broωѕerѕ and I must say this blog lοads a lot fаsteг then moѕt.
    Can you ѕuggeѕt a gοod hosting providеr at a rеasonable ρгісe?
    Kudοs, I aρρreсiаtе it!

    Feel frеe to visit my web pаgе - Vistaprint Free Shipping 90 Off

    ReplyDelete
  37. Its like you read my mind! You appear to know a lot about this, like you wrote the book in it or something.
    I think that you can do with a few pics to drive the message home a bit, but instead of that, this
    is wonderful blog. An excellent read. I will definitely be back.
    new vitality ageless male - ageless male - ageless male

    Here is my homepage ... http://bolmedia.bol-online.com

    ReplyDelete
  38. Cool blog! Is your theme custom made or did you download it from somewhere?
    A design like yours with a few simple adjustements would
    really make my blog stand out. Please let me know where you got your theme.
    With thanks

    Also visit my blog post: Www.Thisnext.Com

    ReplyDelete
  39. Magnificent goods from you, man. I've be mindful your stuff previous to and you're simply extremely magnificent.
    I really like what you've obtained here, certainly like what you're saying and the
    way in which in which you assert it. You make it entertaining and you still take care of to keep
    it sensible. I can't wait to learn much more from you. That is really a wonderful website.

    Here is my page; porn site with chat

    ReplyDelete
  40. I loved as much as you'll receive carried out right here. The sketch is tasteful, your authored subject matter stylish. nonetheless, you command get bought an shakiness over that you wish be delivering the following. unwell unquestionably come more formerly again since exactly the same nearly very often inside case you shield this increase.

    My website Online live sex

    ReplyDelete
  41. I am in fact thankful to the holder of this website who has shared this impressive article at here.


    Also visit my web site ... 1x.com

    ReplyDelete
  42. I don't even know how I ended up here, but I thought this post was good. I don't know who
    you are but certainly you're going to a famous blogger if you are not already ;) Cheers!

    Feel free to visit my blog post: http://www.communitywalk.com/user/view/1956132

    ReplyDelete
  43. Hello, i feel that i saw you visited my website thus i got here to return the favor?

    .I'm trying to find things to improve my web site!I assume its ok to use a few of your concepts!!

    Also visit my web blog; sex Online cam

    ReplyDelete
  44. Definitely believe that which you stated.
    Your favorite reason seemed to be on the web the easiest thing to
    be aware of. I say to you, I certainly get irked while people
    think about worries that they just do not know about. You managed
    to hit the nail upon the top and also defined out the whole thing
    without having side effect , people can take a signal. Will probably be back
    to get more. Thanks

    Also visit my blog :: http://Www.Wowio.com/

    ReplyDelete
  45. I love your blog.. very nice colors & theme.
    Did you design this website yourself or did you hire someone to do it for you?
    Plz respond as I'm looking to construct my own blog and would like to know where u got this from. cheers

    Also visit my page; www.sevilcanasansor.com

    ReplyDelete
  46. Thank you a lot for sharing this with all people
    you really recognize what you are talking about! Bookmarked.
    Please also discuss with my web site =). We will have a hyperlink trade arrangement among us

    My site: watch live sex cam

    ReplyDelete
  47. Great article, totally what I was looking for.

    Look into my blog post; live sex cam

    ReplyDelete
  48. I am now not certain the place you are getting your information, however good topic.
    I must spend some time studying more or figuring out more.

    Thank you for fantastic information I used to be on the lookout for this information for
    my mission.

    my site - online sex cams

    ReplyDelete
  49. What's up, after reading this amazing piece of writing i am too delighted to share my knowledge here with friends.

    My webpage ... tips to lose weight in a week

    ReplyDelete
  50. Spot on with this write-up, I really feel this web site needs a great deal more attention.
    I'll probably be back again to read more, thanks for the information!

    my site: http://medlandiya.com/index.php/blogs/1754/2167/Chat-nasty-with-gorgeous-womens-through-free-live-sex-chat-cams

    ReplyDelete
  51. I like the helpful info you provide in your articles.

    I will bookmark your weblog and check again here regularly.
    I'm quite sure I'll learn lots of new stuff right here!
    Best of luck for the next!

    Also visit my webpage; free sex on webcams

    ReplyDelete
  52. Awesome post.

    my web-site - webcam sex for free

    ReplyDelete
  53. hello buddy, can you please explain this to me?
    Can you send me a content explaining this? I'm really bad with women, I am getting depressed about it. Your own assist would become great.

    Here is my website; blfroyalfoundation.org

    ReplyDelete
  54. Undeniably believe that which you said. Your favorite justification
    seemed to be on the net the simplest thing to be
    aware of. I say to you, I definitely get irked while people
    consider worries that they plainly do not know about.
    You managed to hit the nail upon the top and also defined out the whole thing
    without having side effect , people could take a signal.
    Will probably be back to get more. Thanks

    Feel free to visit my homepage ... buy cheap provestra

    ReplyDelete
  55. You're so interesting! I don't think I've read something like that before. So good to find someone with some original thoughts on this topic. Really.. many thanks for starting this up. This site is one thing that's needed on the internet, someone with some originality!


    Look into my blog post; http://www.sbwire.com/press-releases/alteril-review-sleeping-system-effective-natural-sleep-inducers-latest-information-200298.htm

    ReplyDelete
  56. What's up everyone, it's my first pay a quick visit at this site, and piece of writing is
    in fact fruitful in favor of me, keep up posting such posts.



    my blog: skinception rosacea

    ReplyDelete
  57. Hi everyone, it's my first pay a visit at this web site, and piece of writing is in fact fruitful in favor of me, keep up posting such content.

    My blog post :: natural lubricant

    ReplyDelete
  58. Hello, after reading this remarkable post i am as well happy to share my knowledge here with friends.


    Here is my weblog: culturerooms.com

    ReplyDelete
  59. You actually make it seem so easy with your presentation but I find this
    topic to be really something which I think I would never understand.

    It seems too complex and extremely broad for me. I'm looking forward for your next post, I'll try to get the hang
    of it!

    Review my blog ... http://sarallabel.com/

    ReplyDelete
  60. bookmarked!!, I love your website!

    Also visit my blog post - stop face hair growth naturally

    ReplyDelete
  61. Hi friends, how is all, and what you desire to say regarding this paragraph, in my view its actually
    awesome designed for me.

    my page; Hair Removal

    ReplyDelete
  62. First of all I would like to say great blog!
    I had a quick question in which I'd like to ask if you do not mind. I was curious to find out how you center yourself and clear your head before writing. I've had
    difficulty clearing my thoughts in getting my thoughts out.

    I do take pleasure in writing however it just seems
    like the first 10 to 15 minutes are lost just trying to
    figure out how to begin. Any recommendations or hints?
    Appreciate it!

    my page free porn for free porn

    ReplyDelete
  63. Hey there, You have done an excellent job.
    I'll definitely digg it and personally suggest to my friends. I'm confident
    they'll be benefited from this web site.

    Feel free to surf to my web blog; free i porn videos

    ReplyDelete
  64. Does your site have a contact page? I'm having problems locating it but, I'd
    like to shoot you an e-mail. I've got some ideas for your blog you might be interested in hearing. Either way, great website and I look forward to seeing it improve over time.

    Here is my blog post ... movie-links.org

    ReplyDelete
  65. If you wish for to improve your know-how simply keep visiting this web
    page and be updated with the newest information posted here.



    Here is my website - live sex webcams

    ReplyDelete
  66. If some one desires to be updated with hottest technologies afterward he must be
    visit this site and be up to date daily.


    Here is my web page - increasing blood circulation to
    the genital ()

    ReplyDelete
  67. Hi, Neat post. There is a problem with your site in web explorer,
    would check this? IE still is the marketplace chief and a big component to
    other folks will pass over your great writing because of this problem.


    Also visit my web blog; Read Significantly More

    ReplyDelete
  68. I like this web internet site really much, Its a proper cool office to
    read and uncover suggestions. "'Taint't worthwhile to wear a time all out before it comes." by Sarah Orne Jewett.


    Feel free to surf to my web page earn Money from home

    ReplyDelete
  69. Hello there! Quick question that's entirely off topic. Do you know how to make your site mobile friendly? My weblog looks weird when viewing from my iphone. I'm
    trying to find a template or plugin that might be able to resolve this issue.
    If you have any suggestions, please share. Many thanks!


    Also visit my blog: sexe live

    ReplyDelete
  70. It's awesome to visit this web site and reading the views of all friends regarding this paragraph, while I am also eager of getting know-how.

    Stop by my web page :: live sex radio (http://www.enstarz.com/community/blogs/12395/36618/read-the-basics-of-free-live-cam)

    ReplyDelete
  71. I was suggested this web site by means of my cousin.
    I am now not certain whether this put up is written by means of him as
    no one else realize such distinct about my difficulty.
    You're incredible! Thanks!

    Feel free to surf to my webpage ... male Libido

    ReplyDelete
  72. When some one searches for his essential thing, thus he/she wants to be available that in detail, so that thing is maintained over here.


    Have a look at my page - skinception ()

    ReplyDelete
  73. Howdy! This article couldn't be written any better! Looking at this article reminds me of my previous roommate! He constantly kept preaching about this. I will forward this article to him. Fairly certain he will have a great read. I appreciate you for sharing!

    My homepage :: http://www.sbwire.com/press-releases/semenax-review-new-clinical-study-r...

    ReplyDelete
  74. Very nice article, exactly what I was looking for.


    My site - rosacea relief serum

    ReplyDelete
  75. Today, while I was at work, my cousin stole my iPad and tested
    to see if it can survive a thirty foot drop, just so she can be a youtube sensation.
    My iPad is now broken and she has 83 views. I know this
    is entirely off topic but I had to share it with someone!


    Also visit my page inbound marketing

    ReplyDelete
  76. I got this web site from my pal who informed me on the topic of this site and now this
    time I am browsing this web page and reading very
    informative articles or reviews at this place.

    my webpage dr drum review

    ReplyDelete
  77. I love reading an article that can make people think. Also, thanks for permitting me to comment!


    Feel free to visit my web-site; chastity3524vdutwyss

    ReplyDelete
  78. Usually we don't discover posting on blogs, but we wish to assert that this write-up extremely forced me to confirm out and choose and so! Your own writing taste has been amazed me personally. Say thanks a ton, extremely sweet article.

    my blog; just click the following document

    ReplyDelete
  79. Awesome article.

    My blog post ... stop grow

    ReplyDelete
  80. It's very straightforward to find out any matter on web as compared to textbooks, as I found this article at this website.

    My web page watch free adult cams

    ReplyDelete
  81. Advantageously, the posting is in fact the greatest topic on curing acne naturally.

    we concur with the conclusions and will eagerly look forward to
    the long-term upgrades. Simply suggesting thanks will likely
    not just become enough, for the amazing understanding in your authorship.
    I will instantly grab the rss feed to keep abreast of
    any upgrades.

    Feel free to visit my web site; diet and acne

    ReplyDelete
  82. I absolutely love your blog and find nearly all of your post's to be just what I'm looking for.
    Do you offer guest writers to write content for yourself?

    I wouldn't mind creating a post or elaborating on a lot of the subjects you write regarding here. Again, awesome site!

    My web-site live stream cam

    ReplyDelete
  83. What's up it's me, I am also visiting this site daily,
    this web site is in fact fastidious and the users are really sharing fastidious thoughts.


    Here is my web blog; sex live

    ReplyDelete
  84. Thanks for a marvelous posting! I definitely enjoyed
    reading it, you might be a great author. I will ensure that I bookmark your blog
    and definitely will come back very soon. I want to encourage that you continue your great job, have a nice morning!


    Feel free to visit my web page watch live porn cams

    ReplyDelete
  85. Normally I do not learn post on blogs, however I wish to say
    that this write-up very pressured me to try and
    do so! Your writing style has been amazed me. Thanks, quite great post.



    Here is my webpage: pilates exercise guide

    ReplyDelete