Hydraulic spider system and methods for use thereof

A slip for use in a hydraulic spider, comprising:

• a slip body;
• and
• one or more inserts coupled to an inner surface of the slip body, wherein each of the one or more inserts comprise:
• an engagement body including an engagement surface, the engagement surface including:
• a first concave surface portion comprising teeth, the first concave surface portion having a first radius of curvature;
• and
• a second concave surface portion comprising teeth, the second concave surface portion having a second radius of curvature;
• and
• a third concave surface portion comprising teeth, the third concave surface portion having a third radius of curvature, wherein the second concave surface portion is disposed between the first concave surface portion and the third concave surface portion, wherein the second radius of curvature is different than the first radius of curvature and the third radius of curvature, and wherein the first radius of curvature and the third radius of curvature are equal.

A hydraulic spider, comprising:

• a hydraulic spider body including a bore and one or more actuation surfaces, wherein the one or more actuation surfaces includes a taper angle of at least 11 degrees;
• one or more slips engaged with the one or more actuation surfaces such that movement along the one or more actuation surfaces causes the one or more slips to move radially inward towards a center of the bore or radially outward away from the center of the bore, the one or more slips including one or more inserts defining an inner surface of each slip, the one or more inserts including:
• an engagement body including an engagement surface, the engagement surface including:
• a first concave surface portion comprising teeth, the first concave surface portion having a first radius of curvature;
• and
• a second concave surface portion comprising teeth, the second concave surface portion having a second radius of curvature;
• and
• a third concave surface portion comprising teeth, the third concave surface portion having a third radius of curvature, wherein the second concave surface portion is disposed between the first concave surface portion and the third concave surface portion, and wherein the first radius of curvature and the third radius of curvature are equal;
• and
• one or more actuators coupled to the one or more slips, wherein the one or more actuators move the one or more slips along the one or more actuation surfaces.