可以通过在 <el-form> 上添加@submit.native.prevent 解决

<template>
    <div class="card-wrap">
        <div class="card">
            <el-form :inline="true" :model="search" ref="search" :rules="rules" @submit.native.prevent>
                <el-form-item label="手机号: " prop="mobile">
                    <el-input v-model="search.name" clearable suffix-icon="el-icon-search" placeholder="请输入手机号" @keyup.enter.native="seachEnter"></el-input>
                </el-form-item>
            </el-form>
        </div>
    </div>
</template>